Subbotin, Yurii N.; Shevaldin, Valerii T. Extremal functional \(L_p\)-interpolation on an arbitrary mesh on the real axis. (English. Russian original) Zbl 1509.41005 Sb. Math. 213, No. 4, 556-577 (2022); translation from Mat. Sb. 213, No. 4, 123-144 (2022). MSC: 41A05 41A15 41A50 65D07 PDFBibTeX XMLCite \textit{Y. N. Subbotin} and \textit{V. T. Shevaldin}, Sb. Math. 213, No. 4, 556--577 (2022; Zbl 1509.41005); translation from Mat. Sb. 213, No. 4, 123--144 (2022) Full Text: DOI
Subbotin, Yu. N.; Baidakova, N. V. Approximation of the derivatives of a function in Lagrange interpolation on low-dimensional simplices. (English. Russian original) Zbl 1464.41001 Proc. Steklov Inst. Math. 312, 261-269 (2021); translation from Tr. Mat. Inst. Steklova 312, 272-281 (2021). Reviewer: Martin D. Buhmann (Gießen) MSC: 41A05 41A63 PDFBibTeX XMLCite \textit{Yu. N. Subbotin} and \textit{N. V. Baidakova}, Proc. Steklov Inst. Math. 312, 261--269 (2021; Zbl 1464.41001); translation from Tr. Mat. Inst. Steklova 312, 272--281 (2021) Full Text: DOI
Chernykh, N. I.; Subbotin, Yu. N. Harmonic interpolating wavelets in a ring. (English. Russian original) Zbl 1508.42041 Proc. Steklov Inst. Math. 308, Suppl. 1, 58-67 (2020); translation from Tr. Inst. Mat. Mekh. (Ekaterinburg) 24, No. 4, 225-234 (2018). MSC: 42C40 42B10 41A50 PDFBibTeX XMLCite \textit{N. I. Chernykh} and \textit{Yu. N. Subbotin}, Proc. Steklov Inst. Math. 308, 58--67 (2020; Zbl 1508.42041); translation from Tr. Inst. Mat. Mekh. (Ekaterinburg) 24, No. 4, 225--234 (2018) Full Text: DOI
Subbotin, Yu. N.; Chernykh, N. I. Uniform approximation of the curvature of smooth plane curves with the use of partial Fourier sums. (English. Russian original) Zbl 1422.42004 Proc. Steklov Inst. Math. 303, Suppl. 1, S213-S215 (2018); translation from Tr. Inst. Mat. Mekh. (Ekaterinburg) 23, No. 3, 253-256 (2017). Reviewer: Liu Zheng (Anshan) MSC: 42A10 41A55 PDFBibTeX XMLCite \textit{Yu. N. Subbotin} and \textit{N. I. Chernykh}, Proc. Steklov Inst. Math. 303, S213--S215 (2018; Zbl 1422.42004); translation from Tr. Inst. Mat. Mekh. (Ekaterinburg) 23, No. 3, 253--256 (2017) Full Text: DOI
Subbotin, Yu. N.; Telyakovskii, S. A. Uniform approximation of curvature of smooth planar curves. (English. Russian original) Zbl 1394.53006 Proc. Steklov Inst. Math. 300, Suppl. 1, S184-S186 (2018); translation from Tr. Inst. Mat. Mekh. (Ekaterinburg) 22, No. 4, 254-256 (2016). MSC: 53A04 41A99 PDFBibTeX XMLCite \textit{Yu. N. Subbotin} and \textit{S. A. Telyakovskii}, Proc. Steklov Inst. Math. 300, S184--S186 (2018; Zbl 1394.53006); translation from Tr. Inst. Mat. Mekh. (Ekaterinburg) 22, No. 4, 254--256 (2016) Full Text: DOI
Subbotin, Yu. N.; Chernykh, N. I. Interpolation wavelets in boundary value problems. (English. Russian original) Zbl 1415.42033 Proc. Steklov Inst. Math. 300, Suppl. 1, S172-S183 (2018); translation from Tr. Inst. Mat. Mekh. (Ekaterinburg) 22, No. 4, 257-268 (2016). MSC: 42C40 35C10 35J25 PDFBibTeX XMLCite \textit{Yu. N. Subbotin} and \textit{N. I. Chernykh}, Proc. Steklov Inst. Math. 300, S172--S183 (2018; Zbl 1415.42033); translation from Tr. Inst. Mat. Mekh. (Ekaterinburg) 22, No. 4, 257--268 (2016) Full Text: DOI
Baidakova, Natalia V.; Chernykh, Nikolai I.; Koloskov, Valerii M.; Subbotin, Yurii N. A new algorithm for analysis of experimental Mössbauer spectra. (English) Zbl 1445.81013 Ural Math. J. 3, No. 2, 33-39 (2017). MSC: 81P68 65K10 94A08 PDFBibTeX XMLCite \textit{N. V. Baidakova} et al., Ural Math. J. 3, No. 2, 33--39 (2017; Zbl 1445.81013) Full Text: DOI MNR
Subbotin, Yu. N. Uniform approximation of curvature for smooth classes of plane curves. (English. Russian original) Zbl 1381.41010 Proc. Steklov Inst. Math. 297, Suppl. 1, S182-S185 (2017); translation from Tr. Inst. Mat. Mekh. (Ekaterinburg) 21, No. 4, 273-276 (2015). Reviewer: Yuri A. Farkov (Moscow) MSC: 41A15 41A05 PDFBibTeX XMLCite \textit{Yu. N. Subbotin}, Proc. Steklov Inst. Math. 297, S182--S185 (2017; Zbl 1381.41010); translation from Tr. Inst. Mat. Mekh. (Ekaterinburg) 21, No. 4, 273--276 (2015) Full Text: DOI
Vereshchagin, V. P.; Subbotin, Yu. N.; Chernykh, Nikolai I. A solution class of the Euler equation in a torus with solenoidal velocity field. II. (English. Russian original) Zbl 1405.35152 Proc. Steklov Inst. Math. 296, Suppl. 1, S236-S242 (2017); translation from Tr. Inst. Mat. Mekh. (Ekaterinburg) 21, No. 4 (2015). MSC: 35Q31 76M60 PDFBibTeX XMLCite \textit{V. P. Vereshchagin} et al., Proc. Steklov Inst. Math. 296, S236--S242 (2017; Zbl 1405.35152); translation from Tr. Inst. Mat. Mekh. (Ekaterinburg) 21, No. 4 (2015) Full Text: DOI
Subbotin, Yurii N. One-sided widths of classes of smooth functions. (English) Zbl 1413.41035 Ural Math. J. 1, No. 1, 83-86 (2015). MSC: 41A46 46E35 PDFBibTeX XMLCite \textit{Y. N. Subbotin}, Ural Math. J. 1, No. 1, 83--86 (2015; Zbl 1413.41035) Full Text: DOI MNR
Berdyshev, V. I.; Vasin, V. V.; Matveev, S. V.; Makhnev, A. A.; Subbotin, Yu. N.; Subbotina, N. N.; Ushakov, V. N.; Khachai, M. Yu.; Chentsov, A. G. Ivan Ivanovich Eremin (January 22, 1933 – July 21, 2013). (English. Russian original) Zbl 1338.01029 Proc. Steklov Inst. Math. 289, Suppl. 1, S1-S8 (2015); translation from Tr. Inst. Mat. Mekh. (Ekaterinburg) 20, No. 2, 5-12 (2014). MSC: 01A70 PDFBibTeX XMLCite \textit{V. I. Berdyshev} et al., Proc. Steklov Inst. Math. 289, S1--S8 (2015; Zbl 1338.01029); translation from Tr. Inst. Mat. Mekh. (Ekaterinburg) 20, No. 2, 5--12 (2014) Full Text: DOI
Volkov, Yu. S.; Subbotin, Yu. N. Fifty years of Schoenberg’s problem on the convergence of spline interpolation. (English. Russian original) Zbl 1323.41011 Proc. Steklov Inst. Math. 288, Suppl. 1, S222-S237 (2015); translation from Tr. Inst. Mat. Mekh. (Ekaterinburg) 20, No. 1, 52-67 (2014). Reviewer: Martin D. Buhmann (Gießen) MSC: 41A15 41-03 01A60 01A61 PDFBibTeX XMLCite \textit{Yu. S. Volkov} and \textit{Yu. N. Subbotin}, Proc. Steklov Inst. Math. 288, S222--S237 (2015; Zbl 1323.41011); translation from Tr. Inst. Mat. Mekh. (Ekaterinburg) 20, No. 1, 52--67 (2014) Full Text: DOI
Vereshchagin, V. P.; Subbotin, Yu. N.; Chernykh, N. I. A solution class of the Euler equation in a torus with solenoidal velocity field. (English. Russian original) Zbl 1323.35140 Proc. Steklov Inst. Math. 288, Suppl. 1, S211-S221 (2015); translation from Tr. Inst. Mat. Mekh. (Ekaterinburg) 20, No. 4, 60-70 (2014). Reviewer: Piotr Biler (Wroclaw) MSC: 35Q31 76M60 PDFBibTeX XMLCite \textit{V. P. Vereshchagin} et al., Proc. Steklov Inst. Math. 288, S211--S221 (2015; Zbl 1323.35140); translation from Tr. Inst. Mat. Mekh. (Ekaterinburg) 20, No. 4, 60--70 (2014) Full Text: DOI
Vereshchagin, V. P.; Subbotin, Yu. N.; Chernykh, N. I. Description of a helical motion of an incompressible nonviscous fluid. (English. Russian original) Zbl 1334.35217 Proc. Steklov Inst. Math. 288, Suppl. 1, S202-S210 (2015); translation from Tr. Inst. Mat. Mekh. (Ekaterinburg) 20, No. 1, 43-51 (2014). Reviewer: Thomas Hagen (Memphis) MSC: 35Q31 76B03 PDFBibTeX XMLCite \textit{V. P. Vereshchagin} et al., Proc. Steklov Inst. Math. 288, S202--S210 (2015; Zbl 1334.35217); translation from Tr. Inst. Mat. Mekh. (Ekaterinburg) 20, No. 1, 43--51 (2014) Full Text: DOI
Subbotin, Yu. N.; Telyakovskii, S. A. On the norms of Favard kernels. (English. Russian original) Zbl 1317.42004 Math. Notes 97, No. 4, 598-604 (2015); translation from Mat. Zametki 97, No. 4, 583-590 (2015). MSC: 42A10 PDFBibTeX XMLCite \textit{Yu. N. Subbotin} and \textit{S. A. Telyakovskii}, Math. Notes 97, No. 4, 598--604 (2015; Zbl 1317.42004); translation from Mat. Zametki 97, No. 4, 583--590 (2015) Full Text: DOI
Vereshchagin, V. P.; Subbotin, Yu. N.; Chernykh, N. I. Some solutions of continuum equations for an incompressible viscous medium. (English. Russian original) Zbl 1322.35110 Proc. Steklov Inst. Math. 287, Suppl. 1, S208-S223 (2014); translation from Tr. Inst. Mat. Mekh. (Ekaterinburg) 19, No. 4, 48-63 (2013). Reviewer: Gelu Paşa (Bucureşti) MSC: 35Q30 76D05 76D07 PDFBibTeX XMLCite \textit{V. P. Vereshchagin} et al., Proc. Steklov Inst. Math. 287, S208--S223 (2014; Zbl 1322.35110); translation from Tr. Inst. Mat. Mekh. (Ekaterinburg) 19, No. 4, 48--63 (2013) Full Text: DOI
Vereshchagin, V. P.; Subbotin, Yu. N.; Chernykh, N. I. On the mechanics of helical flows in an ideal incompressible nonviscous continuous medium. (English. Russian original) Zbl 1304.35525 Proc. Steklov Inst. Math. 284, Suppl. 1, S159-S174 (2014); translation from Tr. Inst. Mat. Mekh. (Ekaterinburg) 18, No. 4, 120-134 (2012). MSC: 35Q31 76D05 PDFBibTeX XMLCite \textit{V. P. Vereshchagin} et al., Proc. Steklov Inst. Math. 284, S159--S174 (2014; Zbl 1304.35525); translation from Tr. Inst. Mat. Mekh. (Ekaterinburg) 18, No. 4, 120--134 (2012) Full Text: DOI
Krasovskii, N. N.; Eremin, I. I.; Il’in, A. M.; Kryazhimskii, A. V.; Kurzhanski, A. B.; Berdyshev, V. I.; Vasin, V. V.; Makhnev, A. A.; Matveev, S. V.; Subbotin, Yu. N.; Chentsov, A. G.; Ushakov, V. N.; Kabanov, V. V.; Maksimov, V. I. On the 75th birthday of Academician of the Russian Academy of Sciences Yurii Sergeevich Osipov. (English. Russian original) Zbl 1296.01034 Proc. Steklov Inst. Math. 276, Suppl. 1, S1-S3 (2012); translation from Tr. Inst. Mat. Mekh. (Ekaterinburg) 17, No. 2, 5-6 (2011). MSC: 01A70 PDFBibTeX XMLCite \textit{N. N. Krasovskii} et al., Proc. Steklov Inst. Math. 276, S1--S3 (2012; Zbl 1296.01034); translation from Tr. Inst. Mat. Mekh. (Ekaterinburg) 17, No. 2, 5--6 (2011) Full Text: DOI
Subbotin, Yu. N.; Telyakovskii, S. A. On the relative widths of ellipsoids in Hilbert space. (English. Russian original) Zbl 1283.41028 Math. Notes 91, No. 3, 449-452 (2012); translation from Mat. Zametki 91, No. 3, 473-476 (2012). MSC: 41A65 41A46 PDFBibTeX XMLCite \textit{Yu. N. Subbotin} and \textit{S. A. Telyakovskii}, Math. Notes 91, No. 3, 449--452 (2012; Zbl 1283.41028); translation from Mat. Zametki 91, No. 3, 473--476 (2012) Full Text: DOI
Subbotin, Yu. N.; Chernykh, N. I. The Poisson problem in a domain with a cut. (Russian, English) Zbl 1340.35023 Mat. Tr. 14, No. 2, 189-205 (2011); translation in Sib. Adv. Math. 22, No. 3, 204-216 (2012). MSC: 35J25 31B05 42C40 35J05 PDFBibTeX XMLCite \textit{Yu. N. Subbotin} and \textit{N. I. Chernykh}, Mat. Tr. 14, No. 2, 189--205 (2011; Zbl 1340.35023); translation in Sib. Adv. Math. 22, No. 3, 204--216 (2012) Full Text: DOI
Arestov, V. V.; Berdyshev, V. I.; Chernykh, N. I.; Demina, T. V.; Kholschevnikova, N. N.; Konyagin, S. V.; Subbotin, Yu. N.; Telyakovskii, S. A.; Tsar’kov, I. G.; Yudin, V. A. Exposition of the lectures by S. B. Stechkin on approximation theory. (English. Russian original) Zbl 1277.41001 Eurasian Math. J. 2, No. 4, 5-155 (2011). Reviewer: Daniel Cárdenas-Morales (Jaén) MSC: 41-01 PDFBibTeX XMLCite \textit{V. V. Arestov} et al., Eurasian Math. J. 2, No. 4, 5--155 (2011; Zbl 1277.41001) Full Text: MNR
Vereshchagin, V. P.; Subbotin, Yu. N.; Chernykh, N. I. The class of solenoidal planar-helical vector fields. (English. Russian original) Zbl 1228.35088 Proc. Steklov Inst. Math. 273, Suppl. 1, 171-187 (2011); translation from Tr. Inst. Mat. Mekh. (Ekaterinburg) 16, No. 4 (2010). MSC: 35F05 PDFBibTeX XMLCite \textit{V. P. Vereshchagin} et al., Proc. Steklov Inst. Math. 273, 171--187 (2011; Zbl 1228.35088); translation from Tr. Inst. Mat. Mekh. (Ekaterinburg) 16, No. 4 (2010) Full Text: DOI
Subbotin, Yu. N.; Chernykh, N. I. Harmonic wavelets in boundary value problems for harmonic and biharmonic functions. (English. Russian original) Zbl 1254.35048 Proc. Steklov Inst. Math. 273, Suppl. 1, 142-159 (2011); translation from Tr. Inst. Mat. Mekh. (Ekaterinburg) 16, No. 4 (2010). MSC: 35C10 42C40 35J25 PDFBibTeX XMLCite \textit{Yu. N. Subbotin} and \textit{N. I. Chernykh}, Proc. Steklov Inst. Math. 273, 142--159 (2011; Zbl 1254.35048); translation from Tr. Inst. Mat. Mekh. (Ekaterinburg) 16, No. 4 (2010) Full Text: DOI
Subbotin, Yu. N.; Telyakovskij, S. A. On relative widths of classes of differentiable functions. II. (Russian, English) Zbl 1224.41090 Ukr. Mat. Zh. 62, No. 3, 423-431 (2010); translation in Ukr. Math. J. 62, No. 3, 483-493 (2010). MSC: 41A46 PDFBibTeX XMLCite \textit{Yu. N. Subbotin} and \textit{S. A. Telyakovskij}, Ukr. Mat. Zh. 62, No. 3, 423--431 (2010; Zbl 1224.41090); translation in Ukr. Math. J. 62, No. 3, 483--493 (2010) Full Text: DOI
Subbotin, Yu. N.; Telyakovskii, S. A. Sharpening of the estimates for relative widths of classes of differentiable functions. (English. Russian original) Zbl 1208.46035 Proc. Steklov Inst. Math. 269, 235-246 (2010); translation from Trudy Mat. Inst. Steklova 269, 242-253 (2010). MSC: 46E35 41A46 PDFBibTeX XMLCite \textit{Yu. N. Subbotin} and \textit{S. A. Telyakovskii}, Proc. Steklov Inst. Math. 269, 235--246 (2010; Zbl 1208.46035); translation from Trudy Mat. Inst. Steklova 269, 242--253 (2010) Full Text: DOI
Subbotin, Yu. N.; Telyakovskii, S. A. Erratum to: “On the equality of Kolmogorov and relative widths of classes of differentiable functions”. (English) Zbl 1202.46028 Math. Notes 87, No. 3, 452 (2010). MSC: 46E15 41A46 PDFBibTeX XMLCite \textit{Yu. N. Subbotin} and \textit{S. A. Telyakovskii}, Math. Notes 87, No. 3, 452 (2010; Zbl 1202.46028) Full Text: DOI
Chernykh, N. I.; Subbotin, Yu. N.; Vereshchagin, V. P. Longitudinal-vortex unit vector fields from the class of axially symmetric fields. (English. Russian original) Zbl 1312.37016 Proc. Steklov Inst. Math. 264, Suppl. 1, S126-S132 (2009); translation from Tr. Inst. Mat. Mekh. (Ekaterinburg) 14, No. 3, 92-98 (2008). MSC: 37C10 PDFBibTeX XMLCite \textit{N. I. Chernykh} et al., Proc. Steklov Inst. Math. 264, S126--S132 (2009; Zbl 1312.37016); translation from Tr. Inst. Mat. Mekh. (Ekaterinburg) 14, No. 3, 92--98 (2008) Full Text: DOI
Chernykh, N. I.; Subbotin, Yu. N.; Vereshchagin, V. P. On the construction of unit longitudinal-vortex vector fields with the use of smooth mappings. (English. Russian original) Zbl 1312.37015 Proc. Steklov Inst. Math. 264, Suppl. 1, S116-S125 (2009); translation from Tr. Inst. Mat. Mekh. (Ekaterinburg) 14, No. 3, 82-91 (2008). MSC: 37C10 PDFBibTeX XMLCite \textit{N. I. Chernykh} et al., Proc. Steklov Inst. Math. 264, S116--S125 (2009; Zbl 1312.37015); translation from Tr. Inst. Mat. Mekh. (Ekaterinburg) 14, No. 3, 82--91 (2008) Full Text: DOI
Chernykh, N. I.; Subbotin, Yu. N. Interpolating-orthogonal wavelet systems. (English. Russian original) Zbl 1312.42038 Proc. Steklov Inst. Math. 264, Suppl. 1, S107-S115 (2009); translation from Tr. Inst. Mat. Mekh. (Ekaterinburg) 14, No. 3, 153-161 (2008). MSC: 42C40 PDFBibTeX XMLCite \textit{N. I. Chernykh} and \textit{Yu. N. Subbotin}, Proc. Steklov Inst. Math. 264, S107--S115 (2009; Zbl 1312.42038); translation from Tr. Inst. Mat. Mekh. (Ekaterinburg) 14, No. 3, 153--161 (2008) Full Text: DOI
Chernykh, N. I.; Subbotin, Yu. N.; Vereshchagin, V. P. Transformation that changes the geometric structure of a vector field. (English. Russian original) Zbl 1276.57029 Proc. Steklov Inst. Math. 266, Suppl. 1 (2009, Suppl. 2), 118-128 (2009); translation from Tr. Inst. Mat. Mekh. (Ekaterinburg) 15, No. 1 (2009). MSC: 57R25 37C10 35F05 53A45 PDFBibTeX XMLCite \textit{N. I. Chernykh} et al., Proc. Steklov Inst. Math. 266, 118--128 (2009; Zbl 1276.57029); translation from Tr. Inst. Mat. Mekh. (Ekaterinburg) 15, No. 1 (2009) Full Text: DOI
Chernykh, N. I.; Subbotin, Yu. N. The Dirichlet problem in a domain with a slit. (English. Russian original) Zbl 1232.42031 Proc. Steklov Inst. Math. 266, Suppl. 1 (2009, Suppl. 2), 103-117 (2009); translation from Tr. Inst. Mat. Mekh. (Ekaterinburg) 15, No. 1 (2009). Reviewer: Lubomira Softova (Aversa) MSC: 42C40 35J25 35B40 PDFBibTeX XMLCite \textit{N. I. Chernykh} and \textit{Yu. N. Subbotin}, Proc. Steklov Inst. Math. 266, 103--117 (2009; Zbl 1232.42031); translation from Tr. Inst. Mat. Mekh. (Ekaterinburg) 15, No. 1 (2009) Full Text: DOI
Subbotin, Yu. N. Form-preserving exponential approximation. (English. Russian original) Zbl 1184.65023 Russ. Math. 53, No. 11, 46-52 (2009); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2009, No. 11, 53-60 (2009). Reviewer: Antonio López-Carmona (Granada) MSC: 65D07 41A15 65D05 PDFBibTeX XMLCite \textit{Yu. N. Subbotin}, Russ. Math. 53, No. 11, 46--52 (2009; Zbl 1184.65023); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2009, No. 11, 53--60 (2009) Full Text: DOI
Subbotin, Yu. N.; Telyakovskii, S. A. On the equality of Kolmogorov and relative widths of classes of differentiable functions. (English. Russian original) Zbl 1192.46023 Math. Notes 86, No. 3, 432-439 (2009); translation from Mat. Zametki 86, No. 3, 456-465 (2009); erratum Math. Notes 87, No. 3, 452 (2010). Reviewer: Daniel Wulbert (La Jolla) MSC: 46E15 41A46 PDFBibTeX XMLCite \textit{Yu. N. Subbotin} and \textit{S. A. Telyakovskii}, Math. Notes 86, No. 3, 432--439 (2009; Zbl 1192.46023); translation from Mat. Zametki 86, No. 3, 456--465 (2009); erratum Math. Notes 87, No. 3, 452 (2009) Full Text: DOI
Berdyshev, V. I.; Vasin, V. V.; Makhnev, A. A.; Subbotin, Yu. N. On the collaboration of Siberian and Ural mathematicians. (Russian. English summary) Zbl 1299.01004 Sib. Èlektron. Mat. Izv. 4, A.22-A.27 (2007). MSC: 01A60 01A74 PDFBibTeX XMLCite \textit{V. I. Berdyshev} et al., Sib. Èlektron. Mat. Izv. 4, A.22-A.27 (2007; Zbl 1299.01004) Full Text: Link
Subbotin, Yu. N. Approximations by polynomial and trigonometric splines of third order preserving some properties of approximated functions. (English. Russian original) Zbl 1237.65014 Proc. Steklov Inst. Math. 259, Suppl. 2, S231-S242 (2007); translation from Tr. Inst. Mat. Mekh. (Ekaterinburg) 13, No. 2 (2007). MSC: 65D15 65D07 PDFBibTeX XMLCite \textit{Yu. N. Subbotin}, Proc. Steklov Inst. Math. 259, S231--S242 (2007; Zbl 1237.65014); translation from Tr. Inst. Mat. Mekh. (Ekaterinburg) 13, No. 2 (2007) Full Text: DOI
Subbotin, Yu. N. A new cubic element in the FEM. (English. Russian original) Zbl 1126.65100 Subbotin, Yu. N. (ed.), Function theory. Transl. from the Russian. Moscow: MAIK Nauka/ Interperiodica. Proc. Steklov Inst. Math. 2005, Suppl. 2, S176-S187 (2005); translation from Tr. Inst. Mat. Mekh. (Ekaterinburg) 11, No. 2, 120-130 (2005). Reviewer: Calin Ioan Gheorghiu (Cluj-Napoca) MSC: 65N30 65N50 65N15 PDFBibTeX XMLCite \textit{Yu. N. Subbotin}, in: Function theory. Transl. from the Russian. Moscow: Maik Nauka/Interperiodica. S176--S187 (2005; Zbl 1126.65100); translation from Tr. Inst. Mat. Mekh. (Ekaterinburg) 11, No. 2, 120--130 (2005) Full Text: MNR
Chernykh, N. I.; Subbotin, Yu. N. Construction of wavelets in \(W_2^m(\mathbb R)\) and their approximative properties in different metrics. (English. Russian original) Zbl 1138.42018 Subbotin, Yu. N. (ed.), Function theory. Transl. from the Russian. Moscow: MAIK Nauka/ Interperiodica. Proc. Steklov Inst. Math. 2005, Suppl. 2, S64-S103 (2005); translation from Tr. Inst. Mat. Mekh. (Ekaterinburg) 11, No. 2, 131-167 (2005). Reviewer: Bin Han (Edmonton) MSC: 42C40 PDFBibTeX XMLCite \textit{N. I. Chernykh} and \textit{Yu. N. Subbotin}, in: Function theory. Transl. from the Russian. Moscow: Maik Nauka/Interperiodica. S64--S103 (2005; Zbl 1138.42018); translation from Tr. Inst. Mat. Mekh. (Ekaterinburg) 11, No. 2, 131--167 (2005) Full Text: MNR
Subbotin, Yu. N.; Telyakovskii, S. A. On relative widths of classes of differentiable functions. (English. Russian original) Zbl 1121.41027 Studies on function theory and differential equations. Collected papers dedicated to the 100th birthday of academician Sergei Mikhailovich Nikol’skii. Transl. from the Russian. Moscow: Maik Nauka/Interperiodica. Proceedings of the Steklov Institute of Mathematics 248, 243-254 (2005); translation from Tr. Mat. Inst. Steklova 248, 250-261 (2005). Reviewer: Yuly Makovoz (Lowell) MSC: 41A46 PDFBibTeX XMLCite \textit{Yu. N. Subbotin} and \textit{S. A. Telyakovskii}, in: Studies on function theory and differential equations. Collected papers dedicated to the 100th birthday of academician Sergei Mikhailovich Nikol'skii. Transl. from the Russian. Moscow: Maik Nauka/Interperiodica. 243--254 (2005; Zbl 1121.41027); translation from Tr. Mat. Inst. Steklova 248, 250--261 (2005)
Subbotin, Yu. N. (ed.) Function theory. Transl. from the Russian. (English) Zbl 1116.42001 Proceedings of the Steklov Institute of Mathematics 2005, Suppl. 2. Moscow: Maik Nauka/Interperiodica. 216 p. (2005). MSC: 42-06 41-06 00B15 PDFBibTeX XMLCite \textit{Yu. N. Subbotin} (ed.), Function theory. Transl. from the Russian. Moscow: Maik Nauka/Interperiodica (2005; Zbl 1116.42001)
Chernykh, N. I.; Subbotin, Yu. N. Approximating properties of the \(\overline {W}^m_2\)-orthogonal wavelets. (English) Zbl 1113.42025 East J. Approx. 10, No. 1-2, 219-230 (2004). Reviewer: Spas Tashev (Sofia) MSC: 42C40 41A30 46E35 PDFBibTeX XMLCite \textit{N. I. Chernykh} and \textit{Yu. N. Subbotin}, East J. Approx. 10, No. 1--2, 219--230 (2004; Zbl 1113.42025)
Subbotin, Yu. N.; Telyakovskiĭ, S. A. Approximation of derivatives by the derivatives of interpolating splines. (English. Russian original) Zbl 1124.41008 Function spaces, approximations, and differential equations. Collected papers dedicated to Oleg Vladimirovich Besov on his 70th birthday. Transl. from the Russian. Moscow: Maik Nauka/Interperiodika. Proceedings of the Steklov Institute of Mathematics 243, 309-322 (2003); translation from Tr. Mat. Inst. Steklova 243, 320-333 (2003). MSC: 41A15 41A05 41A28 41A44 PDFBibTeX XMLCite \textit{Yu. N. Subbotin} and \textit{S. A. Telyakovskiĭ}, in: Function spaces, approximations, and differential equations. Collected papers dedicated to Oleg Vladimirovich Besov on his 70th birthday. Transl. from the Russian. Moscow: Maik Nauka/Interperiodika. 309--322 (2003; Zbl 1124.41008); translation from Tr. Mat. Inst. Steklova 243, 320--333 (2003)
Subbotin, Yu. N.; Telyakovskij, S. A. Norms in \(L\) of periodic interpolation splines with equidistant nodes. (English. Russian original) Zbl 1146.41300 Math. Notes 74, No. 1, 100-109 (2003); translation from Mat. Zametki 74, No. 1, 108-117 (2003). MSC: 41A15 41A05 65D07 PDFBibTeX XMLCite \textit{Yu. N. Subbotin} and \textit{S. A. Telyakovskij}, Math. Notes 74, No. 1, 100--109 (2003; Zbl 1146.41300); translation from Mat. Zametki 74, No. 1, 108--117 (2003) Full Text: DOI
Subbotin, Yu. N.; Chernykh, N. I. Harmonic wavelets and asymptotics of Dirichlet problem solution in a circle with small perforation. (Russian) Zbl 1066.35501 Mat. Model. 14, No. 5, 17-30 (2002). MSC: 35J25 31B05 35C10 42C40 PDFBibTeX XMLCite \textit{Yu. N. Subbotin} and \textit{N. I. Chernykh}, Mat. Model. 14, No. 5, 17--30 (2002; Zbl 1066.35501) Full Text: MNR
Subbotin, Yu. N.; Telyakovskii, S. A. Splines and relative widths of classes of differentiable functions. (English) Zbl 1117.41013 Approximation theory: asymptotical expansions. Transl. from the Russian. Moscow: Maik Nauka/Interperiodica. Proceedings of the Steklov Institute of Mathematics 2001, Suppl. 1, S225-S234 (2001). MSC: 41A15 41A46 PDFBibTeX XMLCite \textit{Yu. N. Subbotin} and \textit{S. A. Telyakovskii}, in: Approximation theory. Asymptotical expansions. Moscow: MAIK Nauka/Interperiodica. S225--S234 (2001; Zbl 1117.41013)
Chernykh, N. I.; Subbotin, Yu. N. Wavelets which are orthonormal with respect to an inner product in the Sobolev space \(W_2^m\) of periodic functions. (English) Zbl 1124.42022 Approximation theory: asymptotical expansions. Transl. from the Russian. Moscow: Maik Nauka/Interperiodica. Proceedings of the Steklov Institute of Mathematics 2001, Suppl. 1, S71-S84 (2001). Reviewer: Manfred Tasche (Rostock) MSC: 42C40 46E35 PDFBibTeX XMLCite \textit{N. I. Chernykh} and \textit{Yu. N. Subbotin}, in: Approximation theory. Asymptotical expansions. Moscow: MAIK Nauka/Interperiodica. S71--S84 (2001; Zbl 1124.42022)
Subbotin, Yu. N.; Telyakovskij, S. A. Relative widths of classes of differentiable functions in the \(L^2\) metric. (English. Russian original) Zbl 1036.41013 Russ. Math. Surv. 56, No. 4, 767-769 (2001); translation from Usp. Mat. Nauk 56, No. 4, 159-160 (2001). Reviewer: Yuly Makovoz (Lowell) MSC: 41A46 46E30 46E35 41A65 PDFBibTeX XMLCite \textit{Yu. N. Subbotin} and \textit{S. A. Telyakovskij}, Russ. Math. Surv. 56, No. 4, 767--769 (2001; Zbl 1036.41013); translation from Usp. Mat. Nauk 56, No. 4, 159--160 (2001) Full Text: DOI
Subbotin, Yu. N.; Telyakovskij, S. A. Asymptotic behaviour of the Lebesgue constants of periodic interpolation splines with equidistant nodes. (English. Russian original) Zbl 0965.41006 Sb. Math. 191, No. 8, 1233-1242 (2000); translation from Mat. Sb. 191, No. 8, 131-140 (2000). Reviewer: Manfred Tasche (Rostock) MSC: 41A15 41A44 41A60 PDFBibTeX XMLCite \textit{Yu. N. Subbotin} and \textit{S. A. Telyakovskij}, Sb. Math. 191, No. 8, 1233--1242 (2000; Zbl 0965.41006); translation from Mat. Sb. 191, No. 8, 131--140 (2000) Full Text: DOI
Subbotin, Yu. N.; Chernykh, N. I. Wavelets in spaces of harmonic functions. (English. Russian original) Zbl 0968.42025 Izv. Math. 64, No. 1, 143-171 (2000); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 64, No. 1, 145-174 (2000). Reviewer: Boris Rubin (Jerusalem) MSC: 42C40 31A05 PDFBibTeX XMLCite \textit{Yu. N. Subbotin} and \textit{N. I. Chernykh}, Izv. Math. 64, No. 1, 143--171 (2000; Zbl 0968.42025); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 64, No. 1, 145--174 (2000) Full Text: DOI
Subbotin, Yu. N.; Telyakovskij, S. A. Exact values of relative widths of classes of differentiable functions. (English. Russian original) Zbl 0967.42001 Math. Notes 65, No. 6, 731-738 (1999); translation from Mat. Zametki 65, No. 6, 871-879 (1999). Reviewer: Gerlind Plonka (Duisburg) MSC: 42A10 41A46 42A05 41A30 PDFBibTeX XMLCite \textit{Yu. N. Subbotin} and \textit{S. A. Telyakovskij}, Math. Notes 65, No. 6, 731--738 (1999; Zbl 0967.42001); translation from Mat. Zametki 65, No. 6, 871--879 (1999) Full Text: DOI
Subbotin, Yu. N.; Vasil’ev, Yu. S. Markov inequalities in \(\mathbb R^ m\) that cannot be improved on the class of all convex compact fields. (Russian) Zbl 1065.41505 Dokl. Akad. Nauk, Ross. Akad. Nauk 360, No. 6, 734-735 (1998). MSC: 41A63 PDFBibTeX XMLCite \textit{Yu. N. Subbotin} and \textit{Yu. S. Vasil'ev}, Dokl. Akad. Nauk, Ross. Akad. Nauk 360, No. 6, 734--735 (1998; Zbl 1065.41505)
Patsko, N. L.; Subbotin, Yu. N. B-spline in the finite element method. (English. Russian original) Zbl 0951.65121 Comput. Math. Math. Phys. 38, No. 1, 11-20 (1998); translation from Zh. Vychisl. Mat. Mat. Fiz. 38, No. 1, 15-24 (1998). Reviewer: Alexey Tret’yakov (Siedlce) MSC: 65N30 65D07 35J25 35J65 74B20 74E30 74S05 PDFBibTeX XMLCite \textit{N. L. Patsko} and \textit{Yu. N. Subbotin}, Comput. Math. Math. Phys. 38, No. 1, 1 (1998; Zbl 0951.65121); translation from Zh. Vychisl. Mat. Mat. Fiz. 38, No. 1, 15--24 (1998)
Stechkin, S. B. Subbotin, Yu. N. (ed.); Telyakovskiĭ, S. A. (ed.) Selected works. Mathematics. With a brief biography of Stechkin by V. I. Berdyshev, V. F. Kolchin, B. S. Stechkin, Yu. N. Subbotin, S. A. Telyakovskiĭ and N. I. Chernykh. Edited and with a preface by Subbotin and Telyakovskiĭ. (Избранные труды. Математика.) (Russian) Zbl 0923.41002 Moskva: Nauka. Fizmatlit. 384 p. (1998). Reviewer: M. Tasche (Rostock) MSC: 01A75 01A70 11-03 41-03 42-03 PDFBibTeX XMLCite \textit{S. B. Stechkin} et al., Избранные труды. Математика (Russian). Moskva: Nauka. Fizmatlit (1998; Zbl 0923.41002)
Subbotin, Yu. N. Variations on a spline theme. (Russian. English summary) Zbl 0931.41002 Fundam. Prikl. Mat. 3, No. 4, 1043-1058 (1997). Reviewer: Yuly Makovoz (Lowell) MSC: 41A05 41A15 41-03 01A70 PDFBibTeX XMLCite \textit{Yu. N. Subbotin}, Fundam. Prikl. Mat. 3, No. 4, 1043--1058 (1997; Zbl 0931.41002)
Subbotin, Yu. N.; Chernykh, N. I. Wavelet bases in spaces of analytic functions. (English. Russian original) Zbl 0919.42029 Proc. Steklov Inst. Math. 219, 334-349 (1997); translation from Tr. Mat. Inst. Steklova 219, 340-355 (1997). Reviewer: B.Rubin (Jerusalem) MSC: 42C40 30H05 41A30 PDFBibTeX XML
Subbotin, Yu. N. Reconstruction of functions and derivatives. (English) Zbl 0906.41007 East J. Approx. 3, No. 4, 445-456 (1997). Reviewer: G.Nikolov (Sofia) MSC: 41A15 PDFBibTeX XMLCite \textit{Yu. N. Subbotin}, East J. Approx. 3, No. 4, 445--456 (1997; Zbl 0906.41007)
Subbotin, Yu. N. Extremal \(L_p\) interpolation in the mean with intersecting averaging intervals. (English. Russian original) Zbl 0946.41010 Izv. Math. 61, No. 1, 183-205 (1997); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 61, No. 1, 177-198 (1997). MSC: 41A10 PDFBibTeX XMLCite \textit{Yu. N. Subbotin}, Izv. Math. 61, No. 1, 183--205 (1997; Zbl 0946.41010); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 61, No. 1, 177--198 (1997) Full Text: DOI
Subbotin, Yu. N. Some extremal problems of interpolation and interpolation in the mean. (English) Zbl 0868.41003 East J. Approx. 2, No. 2, 155-167 (1996). Reviewer: T.Singh (Ujjain) MSC: 41A05 65D05 PDFBibTeX XMLCite \textit{Yu. N. Subbotin}, East J. Approx. 2, No. 2, 155--167 (1996; Zbl 0868.41003)
Subbotin, Yu. N. Almost orthogonalization in the finite element method. (English. Russian original) Zbl 1159.65336 Comput. Math. Math. Phys. 36, No. 3, 365-371 (1996); translation from Zh. Vychisl. Mat. Mat. Fiz. 36, No. 3, 101-108 (1996). MSC: 65L60 PDFBibTeX XMLCite \textit{Yu. N. Subbotin}, Comput. Math. Math. Phys. 36, No. 3, 365--371 (1996; Zbl 1159.65336); translation from Zh. Vychisl. Mat. Mat. Fiz. 36, No. 3, 101--108 (1996)
Arestov, V. V.; Berdyshev, V. I.; Subbotin, Yu. N.; Chernykh, I. I. S. B. Stechkin and the theory of approximation. (Russian) Zbl 1059.41500 Tr. Inst. Mat. Mekh. (Ekaterinburg) 4, 3-16 (1996). Reviewer: F. Smithies (MR1483928) MSC: 41-03 01A60 01A70 42-03 PDFBibTeX XMLCite \textit{V. V. Arestov} et al., Tr. Inst. Mat. Mekh. (Ekaterinburg) 4, 3--16 (1996; Zbl 1059.41500)
Subbotin, Yu. N. Error of approximation by interpolation polynomials of ninth degree with nonsymmetric defining parameters. (English) Zbl 0821.41004 Russ. J. Numer. Anal. Math. Model. 8, No. 2, 165-176 (1993). MSC: 41A05 41A80 PDFBibTeX XMLCite \textit{Yu. N. Subbotin}, Russ. J. Numer. Anal. Math. Model. 8, No. 2, 165--176 (1993; Zbl 0821.41004) Full Text: DOI
Subbotin, Yu. N. Inheritance of monotonicity and convexity in local approximations. (English. Russian original) Zbl 0802.41013 Comput. Math. Math. Phys. 33, No. 7, 879-884 (1993); translation from Zh. Vychisl. Mat. Mat. Fiz. 33, No. 7, 996-1003 (1993). MSC: 41A15 PDFBibTeX XMLCite \textit{Yu. N. Subbotin}, Comput. Math. Math. Phys. 33, No. 7, 996--1003 (1993; Zbl 0802.41013); translation from Zh. Vychisl. Mat. Mat. Fiz. 33, No. 7, 996--1003 (1993)
Subbotin, Yu. N. Dependence of the estimates of approximation by interpolating polynomials of 5-th degree upon geometric properties of triangle. (Russian. English summary) Zbl 0812.41002 Tr. Inst. Mat. Mekh. (Ekaterinburg) 2, 110-119 (1992). MSC: 41A05 PDFBibTeX XMLCite \textit{Yu. N. Subbotin}, Tr. Inst. Mat. Mekh. (Ekaterinburg) 2, 110--119 (1992; Zbl 0812.41002)
Subbotin, Yu. N.; Patsko, N. L. Application of \(B\)-splines to the finite element method. (Russian) Zbl 0807.65116 Model. Mekh. 5(22), No. 5, 110-117 (1991). MSC: 65N30 65F10 65N15 35J40 PDFBibTeX XMLCite \textit{Yu. N. Subbotin} and \textit{N. L. Patsko}, Model. Mekh. 5(22), No. 5, 110--117 (1991; Zbl 0807.65116)
Subbotin, Yu. N. Error of the approximation by interpolation polynomials of small degrees on n-simplices. (English. Russian original) Zbl 0734.41021 Math. Notes 48, No. 4, 1030-1037 (1990); translation from Mat. Zametki 48, No. 4, 88-99 (1990). Reviewer: W.Plesniak (Kraków) MSC: 41A25 41A05 41A10 41A63 PDFBibTeX XMLCite \textit{Yu. N. Subbotin}, Math. Notes 48, No. 4, 1030--1037 (1990; Zbl 0734.41021); translation from Mat. Zametki 48, No. 4, 88--99 (1990) Full Text: DOI
Subbotin, Yu. N. Dependence of estimates of a multidimensional piecewise polynomial approximation on the geometric characteristics of the triangulation. (English. Russian original) Zbl 0716.41008 Proc. Steklov Inst. Math. 189, 135-159 (1990); translation from Tr. Mat. Inst. Steklova 189, 117-137 (1989). MSC: 41A10 41A63 41A15 PDFBibTeX XMLCite \textit{Yu. N. Subbotin}, Proc. Steklov Inst. Math. 189, 135--159 (1990; Zbl 0716.41008); translation from Tr. Mat. Inst. Steklova 189, 117--137 (1989)
Nadzhmiddinov, D.; Subbotin, Yu. N. Markov inequalities for polynomials on triangles. (English. Russian original) Zbl 0718.41019 Math. Notes 46, No. 2, 627-631 (1989); translation from Mat. Zametki 46, No. 2, 76-82 (1989). MSC: 41A17 PDFBibTeX XMLCite \textit{D. Nadzhmiddinov} and \textit{Yu. N. Subbotin}, Math. Notes 46, No. 2, 627--631 (1989; Zbl 0718.41019); translation from Mat. Zametki 46, No. 2, 76--82 (1989) Full Text: DOI
Subbotin, Yu. N. The error in multidimensional piecewise polynomial approximation. (English) Zbl 0709.41536 Proc. Steklov Inst. Math. 180, 246-248 (1989). MSC: 41A30 65N30 65G99 PDFBibTeX XMLCite \textit{Yu. N. Subbotin}, Proc. Steklov Inst. Math. 180, 246--248 (1989; Zbl 0709.41536)
Subbotin, Yu. N. Norms of interpolational splines of odd degree in the spaces \(W_ 2^ k\). (English. Russian original) Zbl 0708.41010 Math. Notes 44, No. 6, 958-962 (1988); translation from Mat. Zametki 44, No. 6, 843-849 (1988). Reviewer: J.Rákosniḱ MSC: 41A15 PDFBibTeX XMLCite \textit{Yu. N. Subbotin}, Math. Notes 44, No. 6, 958--962 (1988; Zbl 0708.41010); translation from Mat. Zametki 44, No. 6, 843--849 (1988) Full Text: DOI
Subbotin, Yu. N. (ed.) Approximation in concrete and abstract Banach spaces. Collection of scientific works. (Approksimatsiya v konkretnykh i abstraktnykh banakhovykh prostranstvakh. Sbornik nauchnykh trudov.) (Russian) Zbl 0666.00009 Sverdlovsk (USSR): Ural’skij Nauchnyj Tsentr AN SSSR. 128 p. R. 1.40 (1987). MSC: 00Bxx 41-06 46-06 PDFBibTeX XMLCite \textit{Yu. N. Subbotin} (ed.), Approksimatsiya v konkretnykh i abstraktnykh banakhovykh prostranstvakh. Sbornik nauchnykh trudov (Russian). Sverdlovsk (USSR): Ural'skij Nauchnyj Tsentr AN SSSR (1987; Zbl 0666.00009)
Zmatrakov, N. L.; Subbotin, Yu. N. Multiply interpolating splines of degree \(2k+1\) and deficiency k. (English) Zbl 0609.41009 Proc. Steklov Inst. Math. 164, 83-111 (1985). MSC: 41A15 41A05 PDFBibTeX XMLCite \textit{N. L. Zmatrakov} and \textit{Yu. N. Subbotin}, Proc. Steklov Inst. Math. 164, 83--111 (1985; Zbl 0609.41009)
Subbotin, Yu. N. (ed.) Approximation of functions by polynomials and splines. Collection of articles. (Priblizhenie funktsij polinomami i splajnami. Sbornik statej). (Russian) Zbl 0597.00020 Sverdlovsk: Ural’skij Nauchnyj Tsentr AN SSSR. 152 p. R. 1.60 (1985). MSC: 00Bxx 41-06 PDFBibTeX XML
Subbotin, Yu. N. Third order interpolational L-splines. (Russian) Zbl 0612.41019 Variational-difference methods in mathematical physics, 2, Collect. sci. Works, Moskva 1984, 215-218 (1984). MSC: 41A15 41A05 PDFBibTeX XML
Zmatrakov, I. L.; Subbotin, Yu. N. Multiple interpolation splines of degree \(2k+1\) and defect k. (English) Zbl 0561.41010 Tr. Mat. Inst. Steklova 164, 75-99 (1983). Reviewer: J.Gregor MSC: 41A15 41A05 PDFBibTeX XMLCite \textit{I. L. Zmatrakov} and \textit{Yu. N. Subbotin}, Tr. Mat. Inst. Steklova 164, 75--99 (1983; Zbl 0561.41010)
Subbotin, Yu. N. The Lebesgue constants of certain m-dimensional interpolation polynomials. (English. Russian original) Zbl 0531.41003 Math. USSR, Sb. 46, 561-570 (1983); translation from Mat. Sb., Nov. Ser. 118(160), 557-566 (1982). Reviewer: C.Mustăţa MSC: 41A05 41A10 PDFBibTeX XMLCite \textit{Yu. N. Subbotin}, Math. USSR, Sb. 46, 561--570 (1983; Zbl 0531.41003); translation from Mat. Sb., Nov. Ser. 118(160), 557--566 (1982) Full Text: DOI
Subbotin, Yu. N. Multidimensional piecewise polynomial interpolation. (Russian) Zbl 0543.41004 Approximation and interpolation methods, Mater. IV. All-Union Conf., Novosibirsk 1981, 148-153 (1981). Reviewer: X.Shi MSC: 41A05 41A10 PDFBibTeX XML
Subbotin, Yu. N. One-sided spline approximation with additional restrictions, and the reconstruction of functions and derivatives. (English) Zbl 0475.41012 Math. Notes 28, 574-582 (1981). MSC: 41A15 PDFBibTeX XMLCite \textit{Yu. N. Subbotin}, Math. Notes 28, 574--582 (1981; Zbl 0475.41012) Full Text: DOI
Subbotin, Yu. N. Extremal problems in the theory of approximation of functions on the basis of incomplete information. (English) Zbl 0458.41014 Proc. Steklov Inst. Math. 145, 167-185 (1981). MSC: 41A35 41A46 42A10 41A65 PDFBibTeX XMLCite \textit{Yu. N. Subbotin}, Proc. Steklov Inst. Math. 145, 167--185 (1981; Zbl 0458.41014)
Subbotin, Yu. N. One-sided approximations by splines under additional restrictions, reconstruction of functions and derivatives. (Russian) Zbl 0457.41006 Mat. Zametki 28, 223-238 (1980). MSC: 41A15 PDFBibTeX XMLCite \textit{Yu. N. Subbotin}, Mat. Zametki 28, 223--238 (1980; Zbl 0457.41006)
Subbotin, Yu. N. Extremal problems for the theory of approximation of functions with an incomplete information. (Russian) Zbl 0439.41013 Tr. Mat. Inst. Steklova 145, 152-168 (1980). MSC: 41A46 41A50 41A35 41A65 PDFBibTeX XMLCite \textit{Yu. N. Subbotin}, Tr. Mat. Inst. Steklova 145, 152--168 (1980; Zbl 0439.41013)
Subbotin, Yu. N. Extremal and approximate properties of splines. (English) Zbl 0482.41007 The theory of the approximation of functions, Proc. Int. Conf. Collect. Artic. Kaluga 1975, 341-345 (1977). MSC: 41A15 PDFBibTeX XML
Subbotin, Ju. N. Extremal problems of functional interpolation and interpolation-in-the- mean splines. (English) Zbl 0377.41011 Proc. Steklov Inst. Math. 138(1975), 127-185 (1977). MSC: 41A05 41A15 PDFBibTeX XMLCite \textit{Ju. N. Subbotin}, Proc. Steklov Inst. Math. 138, 127--185 (1977; Zbl 0377.41011)
Stechkin, S. B.; Subbotin, Yu. N. Splines in numerical mathematics. (Splajny v vychislitel’noj matematike). (Russian) Zbl 0462.65007 Moskva: “Nauka”. 248 p. R. 0.79 (1976). MSC: 65D07 41A15 65-02 65D25 65D32 65R20 65L10 65L05 PDFBibTeX XML
Subbotin, Ju. N. Approximative properties of splines. (English) Zbl 0383.41006 Approx. Theory, Proc. int. Colloq., Bonn 1976, Lect. Notes Math. 556, 416-427 (1976). MSC: 41A15 PDFBibTeX XML
Subbotin, Ju. N. Extremal functional interpolation and approximation by splines. (English) Zbl 0321.41005 Math. Notes 16(1974), 1097-1103 (1975). MSC: 41A15 41A05 PDFBibTeX XMLCite \textit{Ju. N. Subbotin}, Math. Notes 16, 1097--1103 (1975; Zbl 0321.41005) Full Text: DOI
Subbotin, Ju. N. Extremalprobleme der funktionellen Interpolation und im Mittel interpolierende Splines. (Russian) Zbl 0317.41004 Tr. Mat. Inst. Steklova 138, 118-173 (1975). MSC: 41A05 41A15 PDFBibTeX XMLCite \textit{Ju. N. Subbotin}, Tr. Mat. Inst. Steklova 138, 118--173 (1975; Zbl 0317.41004)
Subbotin, Yu. N. Interpolating splines. (English) Zbl 0309.41007 Approx. Theor., Proc. Conf. Poznan 1972, 221-234 (1975). MSC: 41A15 41A05 PDFBibTeX XML
Subbotin, Ju. N. Extremal functional interpolation, and approximation by splines. (Russian) Zbl 0316.41006 Mat. Zametki 16, 843-854 (1974). MSC: 41A15 41A05 PDFBibTeX XMLCite \textit{Ju. N. Subbotin}, Mat. Zametki 16, 843--854 (1974; Zbl 0316.41006)
Subbotin, Ju. N. Extremal functional interpolation and splines. (English. Russian original) Zbl 0298.41001 Sov. Math., Dokl. 15, 57-60 (1974); translation from Dokl. Akad. Nauk SSSR 214, 56-58 (1974). MSC: 41A05 41A15 PDFBibTeX XMLCite \textit{Ju. N. Subbotin}, Sov. Math., Dokl. 15, 57--60 (1974; Zbl 0298.41001); translation from Dokl. Akad. Nauk SSSR 214, 56--58 (1974)
Subbotin, Ju. N. Approximation by spline functions and estimates of diameters. (English) Zbl 0285.41010 Proc. Steklov Inst. Math. 109(1971), 39-67 (1974). MSC: 41A15 41A45 42-XX PDFBibTeX XMLCite \textit{Ju. N. Subbotin}, Proc. Steklov Inst. Math. 109, 39--67 (1974; Zbl 0285.41010)
Subbotin, Ju. N. Approximation by splines and smooth bases in C(0,2\(\pi\)). (English) Zbl 0253.41009 Math. Notes 12(1972), 459-463 (1973). MSC: 41A15 42A20 PDFBibTeX XMLCite \textit{Ju. N. Subbotin}, Math. Notes 12, 459--463 (1973; Zbl 0253.41009) Full Text: DOI
Subbotin, Ju. N. Anwendungen von Splines in der Approximationstheorie. (Russian) Zbl 0256.41012 Linear Operators Approximation, Proc. Conf. Oberwolfach 1971, ISNM 20, 405-418 (1972). MSC: 41A15 42-XX 41A45 PDFBibTeX XML
Subbotin, Yu. N. Approximation by splines with restrictions on the norms of their derivatives. (Die Approximation vermittels Spline-Funktionen bei Einschränkungen auf die Normen ihrer Ableitungen.) (Russian) Zbl 0256.41010 Konstruktiv. Teor. Funkts., Tr. Mezhdunarod. Konf., Varna 1970, 107-111 (1972). MSC: 41A15 PDFBibTeX XML
Subbotin, Ju. N. Splineapproximation und glatte Basen im \(C(0,2\pi)\). (Russian) Zbl 0243.41014 Mat. Zametki 12, 43-51 (1972). MSC: 41A15 42A20 PDFBibTeX XMLCite \textit{Ju. N. Subbotin}, Mat. Zametki 12, 43--51 (1972; Zbl 0243.41014)
Ahlberg, J. H.; Nilson, E. N.; Walsh, J. L. Stechkin, S. B. (ed.); Subbotin, Yu. N. (ed.) The theory of splines and their applications. Translated from the English by Yu. N. Subbotin. Edited by S. B. Stechkin and expanded by S. B. Stechkin and Yu. N. Subbotin. (Теория сплайнов и ее приложения.) (Russian) Zbl 0238.65001 Moskva: Verlag ”Mir”. 316 p. R. 2.04 (1972). MSC: 65-02 65D07 65D10 PDFBibTeX XML
Subbotin, Ju. N. Die Approximation vermittels Spline-Funktionen und Abschätzungen von Durchmessern. (Russian) Zbl 0256.41011 Tr. Mat. Inst. Steklova 109, 35-60 (1971). MSC: 41A15 41A45 42-XX PDFBibTeX XMLCite \textit{Ju. N. Subbotin}, Tr. Mat. Inst. Steklova 109, 35--60 (1971; Zbl 0256.41011)
Subbotin, Yu. N. A relation between spline approximation and the problem of the approximation of one class by another. (English) Zbl 0227.41005 Math. Notes 9, 289-294 (1971). MSC: 41A15 PDFBibTeX XMLCite \textit{Yu. N. Subbotin}, Math. Notes 9, 289--294 (1971; Zbl 0227.41005) Full Text: DOI
Subbotin, Yu. N. Der Zusammenhang von Splineapproximationen mit Problemen der Approximation einer Klasse vermittels einer Klasse. (Russian) Zbl 0218.41003 Mat. Zametki 9, 501-510 (1971). MSC: 41A15 PDFBibTeX XMLCite \textit{Yu. N. Subbotin}, Mat. Zametki 9, 501--510 (1971; Zbl 0218.41003)
Subbotin, Yu. N. Approximation of functions of class \(W^ kH_ \omega^ p\) by m-order splines. (English. Russian original) Zbl 0227.41004 Sov. Math., Dokl. 11, 1626-1628 (1970); translation from Dokl. Akad. Nauk SSSR 195, 1039-1041 (1970). MSC: 41A15 PDFBibTeX XMLCite \textit{Yu. N. Subbotin}, Sov. Math., Dokl. 11, 1626--1628 (1970; Zbl 0227.41004); translation from Dokl. Akad. Nauk SSSR 195, 1039--1041 (1970)
Subbotin, Yu. N. Linear methods for the approximation of differentiable functions. (English) Zbl 0202.34502 Math. Notes 7, 256-260 (1970). PDFBibTeX XMLCite \textit{Yu. N. Subbotin}, Math. Notes 7, 256--260 (1970; Zbl 0202.34502) Full Text: DOI
Subbotin, Yu. N. Diameter of class \(W^ r L\) in \(L(0,2\pi)\) and spline function approximation. (English. Russian original) Zbl 0198.09002 Math. Notes 7, 27-32 (1970); translation from Mat. Zametki 7, 43-52 (1970). PDFBibTeX XMLCite \textit{Yu. N. Subbotin}, Math. Notes 7, 27--32 (1970; Zbl 0198.09002); translation from Mat. Zametki 7, 43--52 (1970) Full Text: DOI