Gadzhimirzaev, Ramis Makhmudovich On the uniform convergence of the Fourier series by the system of polynomials generated by the system of Laguerre polynomials. (Russian. English summary) Zbl 07292259 Izv. Sarat. Univ. (N.S.), Ser. Mat. Mekh. Inform. 20, No. 4, 416-423 (2020). MSC: 42A20 42C05 42C10 PDF BibTeX XML Cite \textit{R. M. Gadzhimirzaev}, Izv. Sarat. Univ. (N.S.), Ser. Mat. Mekh. Inform. 20, No. 4, 416--423 (2020; Zbl 07292259) Full Text: DOI MNR
Gadzhimirzaev, R. M. Sobolev-orthonormal system of functions generated by the system of Laguerre functions. (English) Zbl 1425.42031 Probl. Anal. Issues Anal. 8(26), No. 1, 32-46 (2019). MSC: 42C10 33C45 PDF BibTeX XML Cite \textit{R. M. Gadzhimirzaev}, Probl. Anal. Issues Anal. 8(26), No. 1, 32--46 (2019; Zbl 1425.42031) Full Text: DOI MNR
Wang, Heping Probabilistic and average linear widths of weighted Sobolev spaces on the ball equipped with a Gaussian measure. (English) Zbl 1416.41036 J. Approx. Theory 241, 11-32 (2019). Reviewer: Sergey S. Volosivets (Saratov) MSC: 41A46 41A63 42A61 46C99 PDF BibTeX XML Cite \textit{H. Wang}, J. Approx. Theory 241, 11--32 (2019; Zbl 1416.41036) Full Text: DOI
Ciaurri, Óscar; Mínguez Ceniceros, Judit Fourier series of Jacobi-Sobolev polynomials. (English) Zbl 1407.42002 Integral Transforms Spec. Funct. 30, No. 4, 334-346 (2019). MSC: 42A20 33C47 PDF BibTeX XML Cite \textit{Ó. Ciaurri} and \textit{J. Mínguez Ceniceros}, Integral Transforms Spec. Funct. 30, No. 4, 334--346 (2019; Zbl 1407.42002) Full Text: DOI
Sharapudinov, Idris Idrisovich; Guseĭnov, Ibragim Guseĭnovich Polynomials orthogonal with respect to Sobolev type inner product generated by Charlier polynomials. (Russian. English summary) Zbl 1422.42039 Izv. Sarat. Univ. (N.S.), Ser. Mat. Mekh. Inform. 18, No. 2, 196-205 (2018). MSC: 42C05 PDF BibTeX XML Cite \textit{I. I. Sharapudinov} and \textit{I. G. Guseĭnov}, Izv. Sarat. Univ. (N.S.), Ser. Mat. Mekh. Inform. 18, No. 2, 196--205 (2018; Zbl 1422.42039) Full Text: DOI MNR
Sharapudinov, I. I. Sobolev orthogonal polynomials associated with Chebyshev polynomials of the first kind and the Cauchy problem for ordinary differential equations. (English. Russian original) Zbl 1421.34015 Differ. Equ. 54, No. 12, 1602-1619 (2018); translation from Differ. Uravn. 54, No. 12, 1645-1662 (2018). Reviewer: Faitori Omer Salem (Tripoli) MSC: 34A45 34A12 33C47 PDF BibTeX XML Cite \textit{I. I. Sharapudinov}, Differ. Equ. 54, No. 12, 1602--1619 (2018; Zbl 1421.34015); translation from Differ. Uravn. 54, No. 12, 1645--1662 (2018) Full Text: DOI
Gadzhimirzaev, Ramis Makhmudovich Recurrence relations for polynomials orthonormal on Sobolev, generated by Laguerre polynomials. (Russian. English summary) Zbl 1407.33014 Izv. Sarat. Univ. (N.S.), Ser. Mat. Mekh. Inform. 18, No. 1, 17-24 (2018). MSC: 33C45 42C05 94A20 PDF BibTeX XML Cite \textit{R. M. Gadzhimirzaev}, Izv. Sarat. Univ. (N.S.), Ser. Mat. Mekh. Inform. 18, No. 1, 17--24 (2018; Zbl 1407.33014) Full Text: DOI MNR
Ciaurri, Óscar; Mínguez, Judit Fourier series of Gegenbauer-Sobolev polynomials. (English) Zbl 1393.42001 SIGMA, Symmetry Integrability Geom. Methods Appl. 14, Paper 024, 11 p. (2018). Reviewer: Chrysoula G. Kokologiannaki (Patras) MSC: 42A20 33C47 PDF BibTeX XML Cite \textit{Ó. Ciaurri} and \textit{J. Mínguez}, SIGMA, Symmetry Integrability Geom. Methods Appl. 14, Paper 024, 11 p. (2018; Zbl 1393.42001) Full Text: DOI arXiv
Werner, Dirk Functional analysis. 8th, completely revised edition. (Funktionalanalysis.) (German) Zbl 1395.46001 Springer-Lehrbuch. Berlin: Springer Spektrum (ISBN 978-3-662-55406-7/pbk; 978-3-662-55407-4/ebook). xiii, 585 p. (2018). Reviewer: Jürgen Appell (Würzburg) MSC: 46-01 47-01 46-02 46-03 46B10 46A20 46C05 46B15 47A10 47B25 47B07 47B15 46G05 46A04 PDF BibTeX XML Cite \textit{D. Werner}, Funktionalanalysis. Berlin: Springer Spektrum (2018; Zbl 1395.46001) Full Text: DOI
Lakew, Dejenie A. On orthogonal decomposition of a Sobolev space. (English) Zbl 1385.46023 Adv. Oper. Theory 2, No. 4, 419-427 (2017). Reviewer: Maria Alessandra Ragusa (Catania) MSC: 46E35 PDF BibTeX XML Cite \textit{D. A. Lakew}, Adv. Oper. Theory 2, No. 4, 419--427 (2017; Zbl 1385.46023) Full Text: DOI arXiv
Bahri, Mawardi; Ashino, Ryuichi Logarithmic uncertainty principle, convolution theorem related to continuous fractional wavelet transform and its properties on a generalized Sobolev space. (English) Zbl 1376.42049 Int. J. Wavelets Multiresolut. Inf. Process. 15, No. 5, Article ID 1750050, 22 p. (2017). MSC: 42C40 46E10 46E35 46F05 47G30 PDF BibTeX XML Cite \textit{M. Bahri} and \textit{R. Ashino}, Int. J. Wavelets Multiresolut. Inf. Process. 15, No. 5, Article ID 1750050, 22 p. (2017; Zbl 1376.42049) Full Text: DOI
Einsiedler, Manfred; Ward, Thomas Functional analysis, spectral theory, and applications. (English) Zbl 1387.46001 Graduate Texts in Mathematics 276. Cham: Springer (ISBN 978-3-319-58539-0/hbk; 978-3-319-58540-6/ebook). xiv, 614 p. (2017). Reviewer: Jan-David Hardtke (Berlin) MSC: 46-01 47-01 46B10 46C05 46A03 46E15 46E30 46E35 46L05 47A05 47A10 47A60 47B15 47B25 43A07 PDF BibTeX XML Cite \textit{M. Einsiedler} and \textit{T. Ward}, Functional analysis, spectral theory, and applications. Cham: Springer (2017; Zbl 1387.46001) Full Text: DOI
Gadzhimirzaev, Ramis M. The Fourier series of the Meixner polynomials orthogonal with respect to the Sobolev-type inner product. (Russian. English summary) Zbl 1375.42044 Izv. Sarat. Univ. (N.S.), Ser. Mat. Mekh. Inform. 16, No. 4, 388-394 (2016). MSC: 42C10 PDF BibTeX XML Cite \textit{R. M. Gadzhimirzaev}, Izv. Sarat. Univ. (N.S.), Ser. Mat. Mekh. Inform. 16, No. 4, 388--394 (2016; Zbl 1375.42044) Full Text: DOI
Fernández, Lidia; Marcellán, Francisco; Pérez, Teresa E.; Piñar, Miguel A.; Xu, Yuan Sobolev orthogonal polynomials on product domains. (English) Zbl 1312.33039 J. Comput. Appl. Math. 284, 202-215 (2015). MSC: 33C50 42C10 PDF BibTeX XML Cite \textit{L. Fernández} et al., J. Comput. Appl. Math. 284, 202--215 (2015; Zbl 1312.33039) Full Text: DOI
Wang, Heping Probabilistic and average widths of Sobolev spaces on compact two-point homogeneous spaces equipped with a Gaussian measure. (English) Zbl 1310.41023 Constr. Approx. 39, No. 3, 485-516 (2014). Reviewer: Yuri A. Farkov (Moscow) MSC: 41A46 41A63 42A61 46C99 PDF BibTeX XML Cite \textit{H. Wang}, Constr. Approx. 39, No. 3, 485--516 (2014; Zbl 1310.41023) Full Text: DOI
Derevyagin, M.; García-Ardila, J. C.; Marcellán, F. Multiple Geronimus transformations. (English) Zbl 1295.42007 Linear Algebra Appl. 454, 158-183 (2014). Reviewer: Peter Massopust (München) MSC: 42C05 15A23 PDF BibTeX XML Cite \textit{M. Derevyagin} et al., Linear Algebra Appl. 454, 158--183 (2014; Zbl 1295.42007) Full Text: DOI
Castillo, Kenier; Garza, Lino G.; Marcellán, Francisco On computational aspects of discrete Sobolev inner products on the unit circle. (English) Zbl 1329.65086 Appl. Math. Comput. 223, 452-460 (2013). MSC: 65F30 33C45 42A16 65T40 PDF BibTeX XML Cite \textit{K. Castillo} et al., Appl. Math. Comput. 223, 452--460 (2013; Zbl 1329.65086) Full Text: DOI
Grinevich, Petr G.; Novikov, Sergey P. Singular soliton operators and indefinite metrics. (English) Zbl 1319.34153 Bull. Braz. Math. Soc. (N.S.) 44, No. 4, 809-840 (2013). Reviewer: Anatoly N. Kochubei (Kyïv) MSC: 34L40 47E05 47B50 47B25 33E10 34M05 34B24 34L05 PDF BibTeX XML Cite \textit{P. G. Grinevich} and \textit{S. P. Novikov}, Bull. Braz. Math. Soc. (N.S.) 44, No. 4, 809--840 (2013; Zbl 1319.34153) Full Text: DOI
Molano Molano, Luis Alejandro On Laguerre-Sobolev type orthogonal polynomials: zeros and electrostatic interpretation. (English) Zbl 1291.42022 ANZIAM J. 55, No. 1, 39-54 (2013). Reviewer: Teresa A. Mesquita (Vila Nova de Famalicão) MSC: 42C05 PDF BibTeX XML Cite \textit{L. A. Molano Molano}, ANZIAM J. 55, No. 1, 39--54 (2013; Zbl 1291.42022) Full Text: DOI
Fejzullahu, B. Xh.; Marcellán, F.; Moreno-Balcázar, J. J. Jacobi-Sobolev orthogonal polynomials: asymptotics and a Cohen type inequality. (English) Zbl 1283.33006 J. Approx. Theory 170, 78-93 (2013). Reviewer: Marcel G. de Bruin (Haarlem) MSC: 33C45 42C05 PDF BibTeX XML Cite \textit{B. Xh. Fejzullahu} et al., J. Approx. Theory 170, 78--93 (2013; Zbl 1283.33006) Full Text: DOI
Bressan, Alberto Lecture notes on functional analysis. With applications to linear partial differential equations. (English) Zbl 1268.46001 Graduate Studies in Mathematics 143. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-8771-4/hbk). xii, 250 p. (2013). Reviewer: Werner Kleinert (Berlin) MSC: 46-01 46Bxx 46Exx 46Cxx 47D03 35-01 PDF BibTeX XML Cite \textit{A. Bressan}, Lecture notes on functional analysis. With applications to linear partial differential equations. Providence, RI: American Mathematical Society (AMS) (2013; Zbl 1268.46001)
Marcellán, Francisco; Pinzón, Natalia Camila Higher order coherent pairs. (English) Zbl 1262.42009 Acta Appl. Math. 121, No. 1, 105-135 (2012). Reviewer: Manoubi Méjri (Gabes) MSC: 42C05 33C45 PDF BibTeX XML Cite \textit{F. Marcellán} and \textit{N. C. Pinzón}, Acta Appl. Math. 121, No. 1, 105--135 (2012; Zbl 1262.42009) Full Text: DOI
Rajković, Predrag M.; Barry, Paul; Petković, Marko D. Sobolev orthogonal polynomials in computing of Hankel determinants. (English) Zbl 1254.65060 Linear Algebra Appl. 437, No. 10, 2417-2428 (2012). Reviewer: Liu Xinguo (Qingdao) MSC: 65F40 PDF BibTeX XML Cite \textit{P. M. Rajković} et al., Linear Algebra Appl. 437, No. 10, 2417--2428 (2012; Zbl 1254.65060) Full Text: DOI
Castillo, Kenier; Mello, Mirela V.; Rafaeli, Fernando R. Monotonicity and asymptotics of zeros of Sobolev type orthogonal polynomials: A general case. (English) Zbl 1256.33005 Appl. Numer. Math. 62, No. 11, 1663-1671 (2012). MSC: 33C45 42C05 PDF BibTeX XML Cite \textit{K. Castillo} et al., Appl. Numer. Math. 62, No. 11, 1663--1671 (2012; Zbl 1256.33005) Full Text: DOI
Castillo, Kenier A new approach to relative asymptotic behavior for discrete Sobolev-type orthogonal polynomials on the unit circle. (English) Zbl 1242.42018 Appl. Math. Lett. 25, No. 6, 1000-1004 (2012). MSC: 42C05 33C45 PDF BibTeX XML Cite \textit{K. Castillo}, Appl. Math. Lett. 25, No. 6, 1000--1004 (2012; Zbl 1242.42018) Full Text: DOI
Auchmuty, Giles Bases and comparison results for linear elliptic eigenproblems. (English) Zbl 1238.35069 J. Math. Anal. Appl. 390, No. 1, 394-406 (2012). MSC: 35P15 49R05 46C05 15A63 47A75 PDF BibTeX XML Cite \textit{G. Auchmuty}, J. Math. Anal. Appl. 390, No. 1, 394--406 (2012; Zbl 1238.35069) Full Text: DOI
Amini, Arash A.; Wainwright, Martin J. Approximation properties of certain operator-induced norms on Hilbert spaces. (English) Zbl 1262.41015 J. Approx. Theory 164, No. 2, 320-345 (2012). Reviewer: Radu Păltănea (Braşov) MSC: 41A46 46C05 42C05 47B32 15A45 46E35 62F12 PDF BibTeX XML Cite \textit{A. A. Amini} and \textit{M. J. Wainwright}, J. Approx. Theory 164, No. 2, 320--345 (2012; Zbl 1262.41015) Full Text: DOI arXiv
Pijeira, Héctor; Quintana, Yamilet; Rodríguez, José M. Sobolev formal orthogonality on algebraic curves and extensions of favard theorem. (English) Zbl 1260.42018 Jaen J. Approx. 3, No. 2, 193-207 (2011). MSC: 42C05 11E39 15A63 30E05 PDF BibTeX XML Cite \textit{H. Pijeira} et al., Jaen J. Approx. 3, No. 2, 193--207 (2011; Zbl 1260.42018)
Girela, Daniel; González, Cristóbal; Jevtić, Miroljub Inner functions in Lipschitz, Besov, and Sobolev spaces. (English) Zbl 1234.30041 Abstr. Appl. Anal. 2011, Article ID 626254, 26 p. (2011). MSC: 30J05 30H25 30H10 30J10 30J15 PDF BibTeX XML Cite \textit{D. Girela} et al., Abstr. Appl. Anal. 2011, Article ID 626254, 26 p. (2011; Zbl 1234.30041) Full Text: DOI
Cojuhari, Petru; Gheondea, Aurelian Closely embedded Kreĭn spaces and applications to Dirac operators. (English) Zbl 1216.46022 J. Math. Anal. Appl. 376, No. 2, 540-550 (2011). Reviewer: Carsten Trunk (Ilmenau) MSC: 46C20 46C07 47B25 47B50 PDF BibTeX XML Cite \textit{P. Cojuhari} and \textit{A. Gheondea}, J. Math. Anal. Appl. 376, No. 2, 540--550 (2011; Zbl 1216.46022) Full Text: DOI
Costas-Santos, R. S.; Moreno-Balcázar, J. J. The semiclassical Sobolev orthogonal polynomials: a general approach. (English) Zbl 1215.33005 J. Approx. Theory 163, No. 1, 65-83 (2011). Reviewer: Alexei Lukashov (Istanbul) MSC: 33C45 42C05 PDF BibTeX XML Cite \textit{R. S. Costas-Santos} and \textit{J. J. Moreno-Balcázar}, J. Approx. Theory 163, No. 1, 65--83 (2011; Zbl 1215.33005) Full Text: DOI arXiv
Cojuhari, Petru; Gheondea, Aurelian Closed embeddings of Hilbert spaces. (English) Zbl 1198.46022 J. Math. Anal. Appl. 369, No. 1, 60-75 (2010). Reviewer: Mohammad Sal Moslehian (Mashhad) MSC: 46C05 46C07 46E20 46E35 PDF BibTeX XML Cite \textit{P. Cojuhari} and \textit{A. Gheondea}, J. Math. Anal. Appl. 369, No. 1, 60--75 (2010; Zbl 1198.46022) Full Text: DOI
Butt, Rizwan; Alnashri, Yahya Ahmad Approximation of fourth-order variational inequality. (English) Zbl 1193.35080 Int. J. Pure Appl. Math. 59, No. 4, 397-410 (2010). MSC: 35J86 49J40 35A35 47N20 47H10 PDF BibTeX XML Cite \textit{R. Butt} and \textit{Y. A. Alnashri}, Int. J. Pure Appl. Math. 59, No. 4, 397--410 (2010; Zbl 1193.35080)
Pyatkov, S. G. Interpolation of Sobolev spaces and indefinite elliptic spectral problems. (English) Zbl 1198.46020 Behrndt, Jussi (ed.) et al., Recent advances in operator theory in Hilbert and Krein spaces. Papers of the 7th workshop on operator theory in Krein spaces and spectral analysis, TU Berlin, Germany, December 13–16, 2007. Dedicated to Peter Jonas. Basel: Birkhäuser (ISBN 978-3-0346-0179-5/hbk; 978-3-0346-0180-1/ebook). Operator Theory: Advances and Applications 198, 265-290 (2010). MSC: 46B70 35P10 46C20 PDF BibTeX XML Cite \textit{S. G. Pyatkov}, Oper. Theory: Adv. Appl. 198, 265--290 (2010; Zbl 1198.46020)
Osilenker, B. P. Some extremal problems for algebraic polynomials in loaded spaces. (English. Russian original) Zbl 1191.33004 Russ. Math. 54, No. 2, 46-56 (2010); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2010, No. 2, 53-65 (2010). Reviewer: Alexei Lukashov (Istanbul) MSC: 33C45 42C05 PDF BibTeX XML Cite \textit{B. P. Osilenker}, Russ. Math. 54, No. 2, 46--56 (2010; Zbl 1191.33004); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2010, No. 2, 53--65 (2010) Full Text: DOI
Bruder, Andrea; Littlejohn, Lance L.; Tuncer, Davut; Wellman, R. Left-definite theory with applications to orthogonal polynomials. (English) Zbl 1237.47025 J. Comput. Appl. Math. 233, No. 6, 1380-1398 (2010). MSC: 47B25 47B65 33C47 34B30 33C65 34B20 PDF BibTeX XML Cite \textit{A. Bruder} et al., J. Comput. Appl. Math. 233, No. 6, 1380--1398 (2010; Zbl 1237.47025) Full Text: DOI
Kametaka, Yoshinori; Nagai, Atsushi; Takemura, Kazuo; Watanabe, Kohtaro; Yamagishi, Hiroyuki The best constant of Sobolev inequality corresponding to a bending problem of a beam on an interval. (English) Zbl 1209.34016 Tsukuba J. Math. 33, No. 2, 253-280 (2009). Reviewer: Antonio Linero Bas (Murcia) MSC: 34B05 34B27 46E35 41A44 PDF BibTeX XML Cite \textit{Y. Kametaka} et al., Tsukuba J. Math. 33, No. 2, 253--280 (2009; Zbl 1209.34016) Full Text: DOI Euclid
Mortici, Cristinel; Pohoaţă, Alin On the eigenvalues of the Laplacian. (English) Zbl 1186.65064 J. Adv. Math. Stud. 2, No. 1, 35-40 (2009). MSC: 65J05 46E35 46C05 35P05 65M06 PDF BibTeX XML Cite \textit{C. Mortici} and \textit{A. Pohoaţă}, J. Adv. Math. Stud. 2, No. 1, 35--40 (2009; Zbl 1186.65064)
Kyriazis, George; Petrushev, Pencho On the construction of frames for spaces of distributions. (English) Zbl 1179.42025 J. Funct. Anal. 257, No. 7, 2159-2187 (2009). Reviewer: Antonio Galbis (Valencia) MSC: 42C15 46E35 46C99 42C40 46F05 PDF BibTeX XML Cite \textit{G. Kyriazis} and \textit{P. Petrushev}, J. Funct. Anal. 257, No. 7, 2159--2187 (2009; Zbl 1179.42025) Full Text: DOI
Pesenson, Isaac Paley-Wiener approximations and multiscale approximations in Sobolev and Besov spaces on manifolds. (English) Zbl 1171.42016 J. Geom. Anal. 19, No. 2, 390-419 (2009). MSC: 42C05 41A17 41A65 43A85 46C99 PDF BibTeX XML Cite \textit{I. Pesenson}, J. Geom. Anal. 19, No. 2, 390--419 (2009; Zbl 1171.42016) Full Text: DOI
Pietsch, Albrecht; Wenzel, Jörg Orthonormal systems and Banach space geometry. Paperback reprint. (English) Zbl 1137.46001 Encyclopedia of Mathematics and its Applications 70. Cambridge: Cambridge University Press (ISBN 978-0-521-05431-7/pbk). ix, 533 p. (2008). MSC: 46-00 47-00 41-00 42-00 46C05 46B20 46E35 47B35 PDF BibTeX XML Cite \textit{A. Pietsch} and \textit{J. Wenzel}, Orthonormal systems and Banach space geometry. Paperback reprint. Cambridge: Cambridge University Press (2008; Zbl 1137.46001)
Constantin, A.; Ivanov, R. I. The Camassa-Holm equation as a geodesic flow for the \(H^1\) right-invariant metric. (English) Zbl 1144.53328 Dimiev, Stancho (ed.) et al., Topics in contemporary differential geometry, complex analysis and mathematical physics. Proceedings of the 8th international workshop on complex structures and vector fields, Sofia, Bulgaria, August 21–26, 2006. Hackensack, NJ: World Scientific (ISBN 978-981-270-790-1/hbk). 33-41 (2007). MSC: 53D20 70B10 PDF BibTeX XML Cite \textit{A. Constantin} and \textit{R. I. Ivanov}, in: Topics in contemporary differential geometry, complex analysis and mathematical physics. Proceedings of the 8th international workshop on complex structures and vector fields, Sofia, Bulgaria, August 21--26, 2006. Hackensack, NJ: World Scientific. 33--41 (2007; Zbl 1144.53328)
Werner, Dirk Functional analysis. 6th corrected ed. (Funktionalanalysis.) (German) Zbl 1155.46001 Springer-Lehrbuch. Berlin: Springer (ISBN 978-3-540-72533-6/pbk). xiii, 531 p. (2007). MSC: 46-01 47-01 46-02 46-03 46B10 46A20 46C05 46B15 47A10 47B25 47B07 47B15 46G05 46A04 PDF BibTeX XML Cite \textit{D. Werner}, Funktionalanalysis. Berlin: Springer (2007; Zbl 1155.46001) Full Text: DOI
Escribano, C.; Sastre, M. A.; Torrano, E. Moment matrix of self-similar measures. (English) Zbl 1160.42308 ETNA, Electron. Trans. Numer. Anal. 24, 79-87 (2006). MSC: 42C05 28A80 60J05 PDF BibTeX XML Cite \textit{C. Escribano} et al., ETNA, Electron. Trans. Numer. Anal. 24, 79--87 (2006; Zbl 1160.42308) Full Text: Link EuDML
Mikhajlets, V. A.; Murach, A. A. An elliptic operator in the refined scale of spaces on a closed manifold. (Russian. English summary) Zbl 1122.58010 Dopov. Nats. Akad. Nauk Ukr., Mat. Pryr. Tekh. Nauky 2006, No. 10, 27-33 (2006). MSC: 58J05 46C05 46E35 PDF BibTeX XML Cite \textit{V. A. Mikhajlets} and \textit{A. A. Murach}, Dopov. Nats. Akad. Nauk Ukr., Mat. Pryr. Tekh. Nauky 2006, No. 10, 27--33 (2006; Zbl 1122.58010)
Bueno, M. Isabel; Marcellán, Francisco; Sánchez-Ruiz, Jorge Continuous symmetrized Sobolev inner products of order \(N\). I. (English) Zbl 1076.42017 J. Math. Anal. Appl. 306, No. 1, 83-96 (2005). Reviewer: Andrei Martínez Finkelshtein (Almeria) MSC: 42C05 PDF BibTeX XML Cite \textit{M. I. Bueno} et al., J. Math. Anal. Appl. 306, No. 1, 83--96 (2005; Zbl 1076.42017) Full Text: DOI
Berriochoa, E.; Cachafeiro, A.; García-Amor, J. Connections between interval and unit circle for Sobolev orthogonal polynomials. Strong asymptotics on the real line. (English) Zbl 1076.42016 Acta Appl. Math. 86, No. 3, 221-236 (2005). Reviewer: Andrei Martínez Finkelshtein (Almeria) MSC: 42C05 33C47 PDF BibTeX XML Cite \textit{E. Berriochoa} et al., Acta Appl. Math. 86, No. 3, 221--236 (2005; Zbl 1076.42016) Full Text: DOI
Delgado, Antonia M.; Marcellán, Francisco On an extension of symmetric coherent pairs of orthogonal polynomials. (English) Zbl 1077.42016 J. Comput. Appl. Math. 178, No. 1-2, 155-168 (2005). Reviewer: Arno Kuijlaars (Leuven) MSC: 42C05 33C45 PDF BibTeX XML Cite \textit{A. M. Delgado} and \textit{F. Marcellán}, J. Comput. Appl. Math. 178, No. 1--2, 155--168 (2005; Zbl 1077.42016) Full Text: DOI
Alvarez Rocha, I.; Salto, L. Asymptotics of polynomials orthogonal with respect to a discrete-complex Sobolev inner product. (English) Zbl 1060.42014 J. Comput. Appl. Math. 178, No. 1-2, 1-19 (2005). MSC: 42C05 PDF BibTeX XML Cite \textit{I. Alvarez Rocha} and \textit{L. Salto}, J. Comput. Appl. Math. 178, No. 1--2, 1--19 (2005; Zbl 1060.42014) Full Text: DOI
Werner, Dirk Functional analysis. 5th, expanded ed. (Funktionalanalysis.) (German) Zbl 1055.46001 Springer-Lehrbuch. Berlin: Springer (ISBN 3-540-21381-3/pbk). xiii, 527 p. (2005). Reviewer: Hans Jarchow (Zürich) MSC: 46-01 47-01 46-02 46-03 46B10 46A20 46C05 46B15 47A10 47B25 47B07 47B15 46G05 46A04 PDF BibTeX XML Cite \textit{D. Werner}, Funktionalanalysis. Berlin: Springer (2005; Zbl 1055.46001)
Gustafson, Karl An inner product lemma. (English) Zbl 1164.65346 Numer. Linear Algebra Appl. 11, No. 7, 649-659 (2004). Reviewer: Jan Chleboun (Praha) MSC: 65F10 15B57 65F35 15B48 PDF BibTeX XML Cite \textit{K. Gustafson}, Numer. Linear Algebra Appl. 11, No. 7, 649--659 (2004; Zbl 1164.65346) Full Text: DOI
Barrio, Roberto; Delgado, Jorge Trajectories of zeros of Sobolev-Gegenbauer orthogonal polynomials. (English) Zbl 1091.33006 Rev. Acad. Ci. Exactas Fís. Quím. Nat. Zaragoza, II. Ser. 59, 101-108 (2004). Reviewer: Alexei Lukashov (Saratov) MSC: 33C45 42C05 PDF BibTeX XML Cite \textit{R. Barrio} and \textit{J. Delgado}, Rev. Acad. Ci. Exactas Fís. Quím. Nat. Zaragoza, II. Ser. 59, 101--108 (2004; Zbl 1091.33006)
Marcellán, Francisco; Szafraniec, Franciszek Hugon Integral representations on equipotential and harmonic sets. (English) Zbl 1082.46026 Bull. Belg. Math. Soc. - Simon Stevin 11, No. 3, 457-468 (2004). Reviewer: Yang Dachun (Beijing) MSC: 46E35 46E39 46E20 43A35 44A60 30E05 47A57 PDF BibTeX XML Cite \textit{F. Marcellán} and \textit{F. H. Szafraniec}, Bull. Belg. Math. Soc. - Simon Stevin 11, No. 3, 457--468 (2004; Zbl 1082.46026) Full Text: Euclid
Kwon, K. H.; Lee, J. H.; Marcellán, F. Generalized \(\Delta\)-coherent pairs. (English) Zbl 1058.42018 J. Korean Math. Soc. 41, No. 6, 977-664 (2004). MSC: 42C05 33C45 PDF BibTeX XML Cite \textit{K. H. Kwon} et al., J. Korean Math. Soc. 41, No. 6, 977--664 (2004; Zbl 1058.42018) Full Text: DOI
Bueno, María Isabel; Kwon, Kil H.; Marcellán, Francisco Discrete-continuous symmetrized Sobolev inner products. (English) Zbl 1048.42023 Acta Appl. Math. 82, No. 3, 309-331 (2004). MSC: 42C05 PDF BibTeX XML Cite \textit{M. I. Bueno} et al., Acta Appl. Math. 82, No. 3, 309--331 (2004; Zbl 1048.42023) Full Text: DOI
Lachièze-Rey, M. A new basis for eigenmodes on the sphere. (English) Zbl 1046.33009 J. Phys. A, Math. Gen. 37, No. 1, 205-210 (2004). Reviewer: Som Prakash Goyal (Jaipur) MSC: 33C50 33C45 33C80 PDF BibTeX XML Cite \textit{M. Lachièze-Rey}, J. Phys. A, Math. Gen. 37, No. 1, 205--210 (2004; Zbl 1046.33009) Full Text: DOI arXiv
Berriochoa, E.; Cachafeiro, A. Extension inside the disk of asymptotics for Sobolev orthogonal polynomials. (English) Zbl 1044.42023 Comput. Math. Appl. 46, No. 8-9, 1263-1272 (2003). MSC: 42C05 30C10 33C45 PDF BibTeX XML Cite \textit{E. Berriochoa} and \textit{A. Cachafeiro}, Comput. Math. Appl. 46, No. 8--9, 1263--1272 (2003; Zbl 1044.42023) Full Text: DOI
Molina-Tébar, A.; Muñoz-Delgado, F.-J. Conservative polynomial operators and discrete Sobolev-type products. (English) Zbl 1044.41013 Madaune-Tort, M. (ed.) et al., 7th Zaragoza-Pau conference on applied and statistical mathematics, Jaca (Huesca), September 17–18, 2001. Zaragoza: Univ. de Zaragoza, Seminario Matemático “García de Galdeano” (ISBN 84-96214-04-4/pbk). Monogr. Semin. Mat. “García de Galdeano” 27, 429-436 (2003). Reviewer: Ion Raşa (Cluj-Napoca) MSC: 41A30 41A10 PDF BibTeX XML Cite \textit{A. Molina-Tébar} and \textit{F. J. Muñoz-Delgado}, in: VII Journadas Zaragoza-Pau de Matemática aplicada y Estadística, Jaca (Huesca), 17--18 de septiembre de 2001. Zaragoza: Univ. de Zaragoza, Seminario Matemático ``García de Galdeano''. 429--436 (2003; Zbl 1044.41013)
Temlyakov, V. N. Nonlinear methods of approximation. (English) Zbl 1039.41012 Found. Comput. Math. 3, No. 1, 33-107 (2003). Reviewer: Yuly Makovoz (Lowell) MSC: 41A17 41A25 41A46 41A65 42A10 42C10 42C15 46A35 46C99 46E35 46N40 65D15 65J05 PDF BibTeX XML Cite \textit{V. N. Temlyakov}, Found. Comput. Math. 3, No. 1, 33--107 (2003; Zbl 1039.41012) Full Text: DOI
Castro, M.; Durán, A. J. Boundedness properties for Sobolev inner products. (English) Zbl 1016.42013 J. Approximation Theory 122, No. 1, 97-111 (2003). MSC: 42C05 PDF BibTeX XML Cite \textit{M. Castro} and \textit{A. J. Durán}, J. Approx. Theory 122, No. 1, 97--111 (2003; Zbl 1016.42013) Full Text: DOI
Rocha, I. A.; Marcellán, F.; Salto, L. Relative asymptotics and Fourier series of orthogonal polynomials with a discrete Sobolev inner product. (English) Zbl 1014.42019 J. Approximation Theory 121, No. 2, 336-356 (2003). MSC: 42C05 33C47 PDF BibTeX XML Cite \textit{I. A. Rocha} et al., J. Approx. Theory 121, No. 2, 336--356 (2003; Zbl 1014.42019) Full Text: DOI
Berriochoa, E.; Cachafeiro, A. A necessary condition for the extension of Szegö’s asymptotics inside the disk in the Sobolev case. (English) Zbl 1014.42018 J. Comput. Appl. Math. 153, No. 1-2, 73-78 (2003). MSC: 42C05 33C47 PDF BibTeX XML Cite \textit{E. Berriochoa} and \textit{A. Cachafeiro}, J. Comput. Appl. Math. 153, No. 1--2, 73--78 (2003; Zbl 1014.42018) Full Text: DOI
Castaño-García, Laura; Moreno-Balcázar, Juan J. A Mehler–Heine-type formula for Hermite–Sobolev orthogonal polynomials. (English) Zbl 1012.42020 J. Comput. Appl. Math. 150, No. 1, 25-35 (2003). MSC: 42C05 33C45 PDF BibTeX XML Cite \textit{L. Castaño-García} and \textit{J. J. Moreno-Balcázar}, J. Comput. Appl. Math. 150, No. 1, 25--35 (2003; Zbl 1012.42020) Full Text: DOI
Osilenker, B. P. Symmetric Legendre-Sobolev orthogonal polynomials in the Pontryagin-Sobolev spaces. (Russian. English summary) Zbl 1074.46501 Mat. Fiz. Anal. Geom. 9, No. 3, 385-393 (2002). MSC: 46C20 46E35 42C05 47B50 PDF BibTeX XML Cite \textit{B. P. Osilenker}, Mat. Fiz. Anal. Geom. 9, No. 3, 385--393 (2002; Zbl 1074.46501)
Marcellán, F.; Osilenker, B. P.; Rocha, I. A. On Fourier series of Jacobi-Sobolev orthogonal polynomials. (English) Zbl 1016.42014 J. Inequal. Appl. 7, No. 5, 673-699 (2002). MSC: 42C05 PDF BibTeX XML Cite \textit{F. Marcellán} et al., J. Inequal. Appl. 7, No. 5, 673--699 (2002; Zbl 1016.42014) Full Text: DOI EuDML
Marcellán, F.; Osilenker, B. P.; Rocha, I. A. On Fourier series of a discrete Jacobi–Sobolev inner product. (English) Zbl 1019.42014 J. Approximation Theory 117, No. 1, 1-22 (2002). MSC: 42C05 33C47 PDF BibTeX XML Cite \textit{F. Marcellán} et al., J. Approx. Theory 117, No. 1, 1--22 (2002; Zbl 1019.42014) Full Text: DOI
Berriochoa, E.; Cachafeiro, A. Asymptotic behavior inside the disk for Lebesgue Sobolev orthogonal polynomials. (English) Zbl 1007.42017 J. Inequal. Appl. 7, No. 3, 379-392 (2002). Reviewer: Francisco Perez Acosta (La Laguna) MSC: 42C05 PDF BibTeX XML Cite \textit{E. Berriochoa} and \textit{A. Cachafeiro}, J. Inequal. Appl. 7, No. 3, 379--392 (2002; Zbl 1007.42017) Full Text: DOI
Griffel, D. H. Applied functional analysis. Revised reprint of the 1985 ed. (English) Zbl 1116.46001 Mineola, NY: Dover Publications (ISBN 0-486-42258-5/pbk). 390 p. (2002). MSC: 46-01 46C05 46B03 46B10 46E15 46E20 46E30 46E35 46F10 46F12 PDF BibTeX XML Cite \textit{D. H. Griffel}, Applied functional analysis. Revised reprint of the 1985 ed. Mineola, NY: Dover Publications (2002; Zbl 1116.46001)
Branquinho, Amilcar; Foulquié Moreno, Ana; Marcellán, Francisco Asymptotic behavior of Sobolev-type orthogonal polynomials on a rectifiable Jordan curve or arc. (English) Zbl 0991.42018 Constr. Approx. 18, No. 2, 161-182 (2002). MSC: 42C05 PDF BibTeX XML Cite \textit{A. Branquinho} et al., Constr. Approx. 18, No. 2, 161--182 (2002; Zbl 0991.42018) Full Text: DOI
Álvarez de Morales, María; Pérez, Teresa E.; Pinar, Miguel A. Orthogonal polynomials associated with a \(\Delta\)-Sobolev inner product. (English) Zbl 0997.39007 J. Difference Equ. Appl. 8, No. 2, 125-151 (2002). MSC: 39A12 33C45 42C05 46C50 PDF BibTeX XML Cite \textit{M. Álvarez de Morales} et al., J. Difference Equ. Appl. 8, No. 2, 125--151 (2002; Zbl 0997.39007) Full Text: DOI
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 PDF BibTeX XML Cite \textit{N. I. Chernykh} and \textit{Yu. N. Subbotin}, in: Approximation theory. Asymptotical expansions. Moscow: MAIK Nauka/Interperiodica. S71--S84 (2001; Zbl 1124.42022)
Draux, A.; Elhami, C. On the positivity of some bilinear functionals for discrete Sobolev orthogonal polynomials. (English) Zbl 1048.33010 Rend. Mat. Appl., VII. Ser. 21, No. 1-4, 39-55 (2001). MSC: 33C45 26C05 26D05 42C05 PDF BibTeX XML Cite \textit{A. Draux} and \textit{C. Elhami}, Rend. Mat. Appl., VII. Ser. 21, No. 1--4, 39--55 (2001; Zbl 1048.33010)
Duran, A. J.; Saff, E. B. Zero location for nonstandard orthogonal polynomials. (English) Zbl 1011.42013 J. Approximation Theory 113, No. 1, 127-141 (2001). Reviewer: Marcel G.de Bruin (Delft) MSC: 42C05 30C15 PDF BibTeX XML Cite \textit{A. J. Duran} and \textit{E. B. Saff}, J. Approx. Theory 113, No. 1, 127--141 (2001; Zbl 1011.42013) Full Text: DOI
Bramble, James H.; Lazarov, Raytcho D.; Pasciak, Joseph E. Least-squares methods for linear elasticity based on a discrete minus one inner product. (English) Zbl 0999.74107 Comput. Methods Appl. Mech. Eng. 191, No. 8-10, 727-744 (2001). MSC: 74S05 74B05 PDF BibTeX XML Cite \textit{J. H. Bramble} et al., Comput. Methods Appl. Mech. Eng. 191, No. 8--10, 727--744 (2001; Zbl 0999.74107) Full Text: DOI
Berriochoa, E.; Cachafeiro, A.; Marcellán, F. Differential properties for Sobolev orthogonality on the unit circle. (English) Zbl 0990.42006 J. Comput. Appl. Math. 133, No. 1-2, 231-239 (2001). MSC: 42C05 PDF BibTeX XML Cite \textit{E. Berriochoa} et al., J. Comput. Appl. Math. 133, No. 1--2, 231--239 (2001; Zbl 0990.42006) Full Text: DOI
Marcellán, Francisco; Moreno-Balcázar, Juan J. Strong and Plancherel-Rotach asymptotics of non-diagonal Laguerre-Sobolev orthogonal polynomials. (English) Zbl 0983.42013 J. Approximation Theory 110, No. 1, 54-73 (2001). MSC: 42C05 PDF BibTeX XML Cite \textit{F. Marcellán} and \textit{J. J. Moreno-Balcázar}, J. Approx. Theory 110, No. 1, 54--73 (2001; Zbl 0983.42013) Full Text: DOI
Berriochoa, E.; Cachafeiro, A. Bernstein-Szegö-Lebesgue-Sobolev orthogonal polynomials on the unit circle. (English) Zbl 0966.42015 J. Difference Equ. Appl. 6, No. 6, 719-737 (2000). MSC: 42C05 33C47 PDF BibTeX XML Cite \textit{E. Berriochoa} and \textit{A. Cachafeiro}, J. Difference Equ. Appl. 6, No. 6, 719--737 (2000; Zbl 0966.42015) Full Text: DOI
Bavinck, H. Differential operators having Sobolev-type Gegenbauer polynomials as eigenfunctions. (English) Zbl 0955.33002 J. Comput. Appl. Math. 118, No. 1-2, 23-42 (2000). Reviewer: H.-J.Glaeske (Jena) MSC: 33C45 34A35 PDF BibTeX XML Cite \textit{H. Bavinck}, J. Comput. Appl. Math. 118, No. 1--2, 23--42 (2000; Zbl 0955.33002) Full Text: DOI
Marcellán, Francisco; Szafraniec, Franciszek Hugon The Sobolev-type moment problem. (English) Zbl 0951.44002 Proc. Am. Math. Soc. 128, No. 8, 2309-2317 (2000). Reviewer: Semyon Yakubovich (Porto) MSC: 44A60 46E39 47B37 47B65 PDF BibTeX XML Cite \textit{F. Marcellán} and \textit{F. H. Szafraniec}, Proc. Am. Math. Soc. 128, No. 8, 2309--2317 (2000; Zbl 0951.44002) Full Text: DOI
Aubin, Jean-Pierre Applied functional analysis. Exercises by Bernard Cornet and Jean-Michel Lasry. Transl. by Carole Labrousse. 2nd ed. (English) Zbl 0946.46001 Pure and Applied Mathematics. A Wiley-Interscience Series of Texts, Monographs, and Tracts. New York, NY: Wiley. xvi, 495 p. (2000). Reviewer: S.D.Chatterji (Lausanne) MSC: 46-01 47-01 46E35 46C05 35-01 47A10 35J25 PDF BibTeX XML Cite \textit{J.-P. Aubin}, Applied functional analysis. Exercises by Bernard Cornet and Jean-Michel Lasry. Transl. by Carole Labrousse. 2nd ed. New York, NY: Wiley (2000; Zbl 0946.46001)
Osilenker, B. P. Generalized trace formula for symmetric Legendre-Sobolev orthogonal polynomials. (English) Zbl 1001.42013 Priezzhev, V. B. (ed.) et al., Self-similar systems. Proceedings of the international workshop, Dubna, Russia, July 30-August 7, 1998. Dubna: Joint Institute for Nuclear Research. 332-334 (1999). Reviewer: Marcel G.de Bruin (Delft) MSC: 42C05 33C45 PDF BibTeX XML Cite \textit{B. P. Osilenker}, in: Self-similar systems. Proceedings of the international workshop, Dubna, Russia, July 30--August 7, 1998. Dubna: Joint Institute for Nuclear Research. 332--334 (1999; Zbl 1001.42013)
Álvarez de Morales, María; Pérez, Teresa E.; Piñar, Miguel A.; Ronveaux, André Non-standard orthogonality for Meixner polynomials. (English) Zbl 0949.33004 ETNA, Electron. Trans. Numer. Anal. 9, 1-25 (1999). Reviewer: W.Van Assche (Heverlee) MSC: 33C45 42C05 PDF BibTeX XML Cite \textit{M. Álvarez de Morales} et al., ETNA, Electron. Trans. Numer. Anal. 9, 1--25 (1999; Zbl 0949.33004) Full Text: EMIS EuDML
Aptekarev, A.; Berriochoa, E.; Cachafeiro, A. Strong asymptotics for the continuous Sobolev orthogonal polynomials on the unit circle. (English) Zbl 0934.42017 J. Approximation Theory 100, No. 2, 381-391 (1999). Reviewer: Wiesław Pleśniak (Kraków) MSC: 42C05 30C45 PDF BibTeX XML Cite \textit{A. Aptekarev} et al., J. Approx. Theory 100, No. 2, 381--391 (1999; Zbl 0934.42017) Full Text: DOI
Barrios Rolanía, D.; López Lagomasino, G.; Pijeira Cabrera, H. The moment problem for a Sobolev inner product. (English) Zbl 0980.44008 J. Approximation Theory 100, No. 2, 364-380 (1999). MSC: 44A60 PDF BibTeX XML Cite \textit{D. Barrios Rolanía} et al., J. Approx. Theory 100, No. 2, 364--380 (1999; Zbl 0980.44008) Full Text: DOI
Fleige, Andreas Non-semibounded sesquilinear forms and left-indefinite Sturm-Liouville problems. (English) Zbl 0922.47014 Integral Equations Oper. Theory 33, No. 1, 20-33 (1999). MSC: 47A67 46C20 47B50 34B24 34L10 PDF BibTeX XML Cite \textit{A. Fleige}, Integral Equations Oper. Theory 33, No. 1, 20--33 (1999; Zbl 0922.47014) Full Text: DOI
Álvarez de Morales, María; Pérez, Teresa E.; Piñar, Miguel A. Sobolev orthogonality for the Gegenbauer polynomials \(\{ C_n^{-N+1/2}\}_{n\geq 0}\). (English) Zbl 0931.33008 J. Comput. Appl. Math. 100, No. 1, 111-120 (1998). Reviewer: N.Hayek (La Laguna) MSC: 33C45 PDF BibTeX XML Cite \textit{M. Álvarez de Morales} et al., J. Comput. Appl. Math. 100, No. 1, 111--120 (1998; Zbl 0931.33008) Full Text: DOI
D’yakonov, E. G. Strenghtened Sobolev spaces and some new types of elliptic boundary value problems. II. (English. Russian original) Zbl 0976.46024 Differ. Equations 34, No. 4, 506-515 (1998); translation from Differ. Uravn. 34, No. 4, 508-517 (1998). Reviewer: Valentin Chernyatin (Szczecin) MSC: 46E35 35J20 PDF BibTeX XML Cite \textit{E. G. D'yakonov}, Differ. Equations 34, No. 4, 506--515 (1998; Zbl 0976.46024); translation from Differ. Uravn. 34, No. 4, 508--517 (1998)
Pietsch, Albrecht; Wenzel, Jörg Orthonormal systems and Banach space geometry. (English) Zbl 0919.46001 Encyclopedia of Mathematics and Its Applications. 70. Cambridge: Cambridge University Press. ix, 553 p. (1998). Reviewer: J.Appell (Würzburg) MSC: 46-00 47-00 41-00 42-00 46C05 46B20 46E35 47B35 PDF BibTeX XML Cite \textit{A. Pietsch} and \textit{J. Wenzel}, Orthonormal systems and Banach space geometry. Cambridge: Cambridge University Press (1998; Zbl 0919.46001)
Foulquié Moreno, A.; Marcellán, F.; Peherstorfer, F.; Steinbauer, R. Strong asymptotics on the support of the measure of orthogonality for polynomials orthogonal with respect to a discrete Sobolev inner product on the unit circle. (English) Zbl 0907.42017 Proceedings of the 3rd international conference on functional analysis and approximation theory, Acquafredda di Maratea (Potenza), Italy, September 23–28, 1996. Vols. I and II. Palermo: Circolo Matemàtico di Palermo, Suppl. Rend. Circ. Mat. Palermo, II. Ser. 52, 411-425 (1998). Reviewer: M.G.de Bruin (Delft) MSC: 42C05 PDF BibTeX XML Cite \textit{A. Foulquié Moreno} et al., in: Proceedings of the 3rd international conference on functional analysis and approximation theory, Acquafredda di Maratea (Potenza), Italy, September 23--28, 1996. Vols. I and II. Palermo: Circolo Matemàtico di Palermo. 411--425 (1998; Zbl 0907.42017)
Pan, K. Asymptotics for Sobolev orthogonal polynomials with coherent pairs: The Jacobi case, type 1. (English) Zbl 0895.42009 Proc. Am. Math. Soc. 126, No. 8, 2377-2388 (1998). MSC: 42C05 PDF BibTeX XML Cite \textit{K. Pan}, Proc. Am. Math. Soc. 126, No. 8, 2377--2388 (1998; Zbl 0895.42009) Full Text: DOI
Han, S. S.; Jung, I. H.; Kwon, K. H.; Lee, J. K. A non-standard class of Sobolev orthogonal polynomials. (English) Zbl 0943.42015 Commun. Korean Math. Soc. 12, No. 4, 935-950 (1997). MSC: 42C05 33C45 PDF BibTeX XML Cite \textit{S. S. Han} et al., Commun. Korean Math. Soc. 12, No. 4, 935--950 (1997; Zbl 0943.42015)
Jung, I. H.; Kwon, K. H.; Lee, J. K. Sobolev orthogonal polynomials relative to \(\lambda p(c)q(c)+\langle\tau,p'(x)q'(x)\rangle\). (English) Zbl 0943.42016 Commun. Korean Math. Soc. 12, No. 3, 603-617 (1997). MSC: 42C05 33C45 PDF BibTeX XML Cite \textit{I. H. Jung} et al., Commun. Korean Math. Soc. 12, No. 3, 603--617 (1997; Zbl 0943.42016)
Lesky, P. A. Gröbner’s method for orthogonal polynomials of Sobolev type. (Das Gröbnerverfahren für Orthogonalpolynome vom Sobolev-Typ.) (German) Zbl 0914.42018 Anz., Abt. II, Österr. Akad. Wiss., Math.-Naturwiss. Kl. 134, 11-16 (1997). Reviewer: M.G.de Bruin (Delft) MSC: 42C05 33C45 PDF BibTeX XML Cite \textit{P. A. Lesky}, Anz., Abt. II, Österr. Akad. Wiss., Math.-Naturwiss. Kl. 134, 11--16 (1997; Zbl 0914.42018)
Martínez-Finkelshtein, Andrei; Moreno-Balcázar, Juan J. Asymptotics of Sobolev orthogonal polynomials for a Jacobi weight. (English) Zbl 0897.33010 Methods Appl. Anal. 4, No. 4, 430-437 (1997). Reviewer: W.Van Assche (Heverlee) MSC: 33C45 42C05 PDF BibTeX XML Cite \textit{A. Martínez-Finkelshtein} and \textit{J. J. Moreno-Balcázar}, Methods Appl. Anal. 4, No. 4, 430--437 (1997; Zbl 0897.33010) Full Text: DOI
Milovanović, Gradimir V. Orthogonal polynomial systems and some applications. (English) Zbl 0894.33003 Rassias, Themistocles M. (ed.), Inner product spaces and applications. Harlow: Longman. Pitman Res. Notes Math. Ser. 376, 115-182 (1997). Reviewer: L.Gatteschi (Torino) MSC: 33C45 30C10 PDF BibTeX XML Cite \textit{G. V. Milovanović}, in: Inner product spaces and applications. Harlow: Longman. 115--182 (1997; Zbl 0894.33003)
Gautschi, Walter; Kuijlaars, A. B. J. Zeros and critical points of Sobolev orthogonal polynomials. (English) Zbl 0897.42014 J. Approximation Theory 91, No. 1, 117-137 (1997). Reviewer: D.S.Lubinsky (Wits) MSC: 42C05 30E15 65D20 PDF BibTeX XML Cite \textit{W. Gautschi} and \textit{A. B. J. Kuijlaars}, J. Approx. Theory 91, No. 1, 117--137 (1997; Zbl 0897.42014) Full Text: DOI
Draux, André; El Hami, Charaf Hermite-Sobolev and closely connected orthogonal polynomials. (English) Zbl 0874.33009 J. Comput. Appl. Math. 81, No. 1, 165-179 (1997). MSC: 33C45 42C05 PDF BibTeX XML Cite \textit{A. Draux} and \textit{C. El Hami}, J. Comput. Appl. Math. 81, No. 1, 165--179 (1997; Zbl 0874.33009) Full Text: DOI
Cachafeiro, A.; Marcellán, F. On some properties of orthogonal polynomials related to a Sobolev-type inner product on the unit circle. (English) Zbl 0946.42018 Facta Univ., Ser. Math. Inf. 11, 67-78 (1996). Reviewer: Gradimir Milovanović (Niš) MSC: 42C05 33C45 PDF BibTeX XML Cite \textit{A. Cachafeiro} and \textit{F. Marcellán}, Facta Univ., Ser. Math. Inf. 11, 67--78 (1996; Zbl 0946.42018)
Li, Xin; Marcellan, Francisco On polynomials orthogonal with respect to Sobolev inner product on the unit circle. (English) Zbl 0897.42013 Pac. J. Math. 175, No. 1, 127-146 (1996). Reviewer: W.Van Assche (Heverlee) MSC: 42C05 PDF BibTeX XML Cite \textit{X. Li} and \textit{F. Marcellan}, Pac. J. Math. 175, No. 1, 127--146 (1996; Zbl 0897.42013) Full Text: DOI Link
Shirokov, N. A. Inner functions in the analytic Besov classes. (English. Russian original) Zbl 0917.46024 St. Petersbg. Math. J. 8, No. 4, 675-694 (1997); translation from Algebra Anal. 8, No. 4, 193-221 (1996). Reviewer: R.Johnson (College Park) MSC: 46E35 30D50 30D55 PDF BibTeX XML Cite \textit{N. A. Shirokov}, St. Petersbg. Math. J. 8, No. 4, 193--221 (1996; Zbl 0917.46024); translation from Algebra Anal. 8, No. 4, 193--221 (1996)