Khan, Akhtar A.; Li, Jinlu Approximating properties of metric and generalized metric projections in uniformly convex and uniformly smooth Banach spaces. (English) Zbl 07797678 J. Approx. Theory 297, Article ID 105973, 17 p. (2024). MSC: 41-XX 42-XX 41A10 41A50 47A05 58C06 PDFBibTeX XMLCite \textit{A. A. Khan} and \textit{J. Li}, J. Approx. Theory 297, Article ID 105973, 17 p. (2024; Zbl 07797678) Full Text: DOI arXiv
Bello-Hernández, Manuel; del Campo López, Alejandro Mean convergence of Fourier-Akhiezer-Chebyshev series. (English) Zbl 07761707 J. Approx. Theory 296, Article ID 105984, 16 p. (2023). Reviewer: Francisco Marcellán (Leganes) MSC: 42C10 42C05 32A35 PDFBibTeX XMLCite \textit{M. Bello-Hernández} and \textit{A. del Campo López}, J. Approx. Theory 296, Article ID 105984, 16 p. (2023; Zbl 07761707) Full Text: DOI arXiv
Liu, Wenjie; Wang, Li-Lian; Wu, Boying Bernstein-type constants for approximation of \(| x |^\alpha\) by partial Fourier-Legendre and Fourier-Chebyshev sums. (English) Zbl 1528.41013 J. Approx. Theory 291, Article ID 105897, 10 p. (2023). MSC: 41A10 41A25 41A50 PDFBibTeX XMLCite \textit{W. Liu} et al., J. Approx. Theory 291, Article ID 105897, 10 p. (2023; Zbl 1528.41013) Full Text: DOI
Harris, Lawrence A. Alternation points, weights and orthogonal polynomials. (English) Zbl 1517.42024 J. Approx. Theory 285, Article ID 105834, 11 p. (2023). MSC: 42C05 33C45 15A63 PDFBibTeX XMLCite \textit{L. A. Harris}, J. Approx. Theory 285, Article ID 105834, 11 p. (2023; Zbl 1517.42024) Full Text: DOI
Oganesyan, Kristina Cosine polynomials with restrictions on their algebraic representation. (English) Zbl 1517.41003 J. Approx. Theory 281-282, Article ID 105802, 19 p. (2022). MSC: 41A10 15B05 42A05 PDFBibTeX XMLCite \textit{K. Oganesyan}, J. Approx. Theory 281--282, Article ID 105802, 19 p. (2022; Zbl 1517.41003) Full Text: DOI arXiv
Van Assche, Walter Chebyshev polynomials in the 16th century. (English) Zbl 1505.33007 J. Approx. Theory 279, Article ID 105767, 15 p. (2022). MSC: 33C45 01A40 01A45 42C05 PDFBibTeX XMLCite \textit{W. Van Assche}, J. Approx. Theory 279, Article ID 105767, 15 p. (2022; Zbl 1505.33007) Full Text: DOI arXiv
Alpan, Gökalp Extremal polynomials on a Jordan arc. (English) Zbl 1501.30011 J. Approx. Theory 276, Article ID 105708, 8 p. (2022). MSC: 30E10 30C10 PDFBibTeX XMLCite \textit{G. Alpan}, J. Approx. Theory 276, Article ID 105708, 8 p. (2022; Zbl 1501.30011) Full Text: DOI arXiv
Dragnev, P. D.; Legg, A. R.; Orive, R. On the best uniform polynomial approximation to the checkmark function. (English) Zbl 1500.41001 J. Approx. Theory 275, Article ID 105698, 17 p. (2022). Reviewer: Francisco Pérez Acosta (La Laguna) MSC: 41A10 41A50 PDFBibTeX XMLCite \textit{P. D. Dragnev} et al., J. Approx. Theory 275, Article ID 105698, 17 p. (2022; Zbl 1500.41001) Full Text: DOI arXiv
De Marchi, Stefano; Elefante, Giacomo; Marchetti, Francesco On \((\beta,\gamma)\)-Chebyshev functions and points of the interval. (English) Zbl 1482.41001 J. Approx. Theory 271, Article ID 105634, 17 p. (2021). Reviewer: Marcel G. de Bruin (Heemstede) MSC: 41A05 33C45 42C05 PDFBibTeX XMLCite \textit{S. De Marchi} et al., J. Approx. Theory 271, Article ID 105634, 17 p. (2021; Zbl 1482.41001) Full Text: DOI arXiv
Schiefermayr, Klaus; Zinchenko, Maxim Norm estimates for Chebyshev polynomials, I. (English) Zbl 1462.41012 J. Approx. Theory 265, Article ID 105561, 14 p. (2021). Reviewer: D. K. Ugulava (Tbilisi) MSC: 41A50 30C10 30E10 PDFBibTeX XMLCite \textit{K. Schiefermayr} and \textit{M. Zinchenko}, J. Approx. Theory 265, Article ID 105561, 14 p. (2021; Zbl 1462.41012) Full Text: DOI
Gorbachev, D. V.; Ivanov, V. I.; Tikhonov, S. Yu. Sharp approximation theorems and Fourier inequalities in the Dunkl setting. (English) Zbl 1452.42006 J. Approx. Theory 258, Article ID 105462, 30 p. (2020). Reviewer: Elijah Liflyand (Ramat-Gan) MSC: 42B10 33C45 33C52 41A50 42A10 PDFBibTeX XMLCite \textit{D. V. Gorbachev} et al., J. Approx. Theory 258, Article ID 105462, 30 p. (2020; Zbl 1452.42006) Full Text: DOI arXiv
Ditzian, Z. Best polynomial approximation in \(L_w^2 ( S )\) for the simplex \(S\). (English) Zbl 1434.41026 J. Approx. Theory 251, Article ID 105345, 13 p. (2020). MSC: 41A50 41A10 PDFBibTeX XMLCite \textit{Z. Ditzian}, J. Approx. Theory 251, Article ID 105345, 13 p. (2020; Zbl 1434.41026) Full Text: DOI
Feng, Han; Krattenthaler, Christian; Xu, Yuan Best polynomial approximation on the triangle. (English) Zbl 1414.41018 J. Approx. Theory 241, 63-78 (2019). Reviewer: Alexey Alimov (Moskva) MSC: 41A50 33C50 42C10 PDFBibTeX XMLCite \textit{H. Feng} et al., J. Approx. Theory 241, 63--78 (2019; Zbl 1414.41018) Full Text: DOI arXiv
Ait-Haddou, Rachid; Mazure, Marie-Laurence; Render, Hermann Nested sequences of rational spaces: Bernstein approximation, dimension elevation, and Pólya-type theorems on positive polynomials. (English) Zbl 1396.41010 J. Approx. Theory 234, 20-50 (2018). Reviewer: Francisco Pérez Acosta (La Laguna) MSC: 41A20 26C15 41A36 41A50 65D15 65D17 PDFBibTeX XMLCite \textit{R. Ait-Haddou} et al., J. Approx. Theory 234, 20--50 (2018; Zbl 1396.41010) Full Text: DOI
Magnus, Alphonse P. Gaussian integration formulas for logarithmic weights and application to 2-dimensional solid-state lattices. (English) Zbl 1386.65096 J. Approx. Theory 228, 21-57 (2018). Reviewer: Antonio López Carmona (Granada) MSC: 65D32 65D30 42C10 42A16 42C05 PDFBibTeX XMLCite \textit{A. P. Magnus}, J. Approx. Theory 228, 21--57 (2018; Zbl 1386.65096) Full Text: DOI
Schiefermayr, Klaus The growth of polynomials outside of a compact set-the Bernstein-Walsh inequality revisited. (English) Zbl 1375.41008 J. Approx. Theory 223, 9-18 (2017). Reviewer: Fahreddin Abdullayev (Mersin) MSC: 41A17 41A50 30C10 PDFBibTeX XMLCite \textit{K. Schiefermayr}, J. Approx. Theory 223, 9--18 (2017; Zbl 1375.41008) Full Text: DOI
Eichinger, Benjamin Szegő-Widom asymptotics of Chebyshev polynomials on circular arcs. (English) Zbl 1371.41038 J. Approx. Theory 217, 15-25 (2017). Reviewer: Mohammad Sababheh (Amman) MSC: 41A50 30E15 30C10 PDFBibTeX XMLCite \textit{B. Eichinger}, J. Approx. Theory 217, 15--25 (2017; Zbl 1371.41038) Full Text: DOI arXiv
Jaming, Philippe; Karoui, Abderrazek; Spektor, Susanna The approximation of almost time- and band-limited functions by their expansion in some orthogonal polynomials bases. (English) Zbl 1353.41002 J. Approx. Theory 212, 41-65 (2016). Reviewer: H. P. Dikshit (Bhopal) MSC: 41A10 42C15 65T99 PDFBibTeX XMLCite \textit{P. Jaming} et al., J. Approx. Theory 212, 41--65 (2016; Zbl 1353.41002) Full Text: DOI arXiv
Bustamante, Jorge; Martínez-Cruz, Reinaldo; Quesada, José María Quasi orthogonal Jacobi polynomials and best one-sided \(L_1\) approximation to step functions. (English) Zbl 1326.41010 J. Approx. Theory 198, 10-23 (2015). Reviewer: Daniel Wulbert (La Jolla) MSC: 41A10 41A50 41A52 41A05 PDFBibTeX XMLCite \textit{J. Bustamante} et al., J. Approx. Theory 198, 10--23 (2015; Zbl 1326.41010) Full Text: DOI
Gilboa, Shoni; Peled, Ron A differential version of the Chebyshev-Markov-Stieltjes inequalities. (English) Zbl 1323.33012 J. Approx. Theory 196, 13-54 (2015). Reviewer: Jeremy Wade (Pittsburg) MSC: 33C45 65D32 PDFBibTeX XMLCite \textit{S. Gilboa} and \textit{R. Peled}, J. Approx. Theory 196, 13--54 (2015; Zbl 1323.33012) Full Text: DOI arXiv
Totik, Vilmos; Yuditskii, Peter On a conjecture of Widom. (English) Zbl 1311.42064 J. Approx. Theory 190, 50-61 (2015). Reviewer: Teresa A. Mesquita (Vila Nova de Famalicão) MSC: 42C05 31A15 PDFBibTeX XMLCite \textit{V. Totik} and \textit{P. Yuditskii}, J. Approx. Theory 190, 50--61 (2015; Zbl 1311.42064) Full Text: DOI arXiv
Migliorati, Giovanni Multivariate Markov-type and Nikolskii-type inequalities for polynomials associated with downward closed multi-index sets. (English) Zbl 1309.41002 J. Approx. Theory 189, 137-159 (2015). Reviewer: Jesus Illán González (Vigo) MSC: 41A10 41A17 PDFBibTeX XMLCite \textit{G. Migliorati}, J. Approx. Theory 189, 137--159 (2015; Zbl 1309.41002) Full Text: DOI
Simon, Thomas Total positivity of a Cauchy kernel. (English) Zbl 1292.15035 J. Approx. Theory 184, 238-258 (2014). MSC: 15B48 15A15 33C45 PDFBibTeX XMLCite \textit{T. Simon}, J. Approx. Theory 184, 238--258 (2014; Zbl 1292.15035) Full Text: DOI arXiv
Kroó, András A note on strong asymptotics of weighted Chebyshev polynomials. (English) Zbl 1295.41033 J. Approx. Theory 181, 1-5 (2014). Reviewer: José L. Lopez (Pamplona) MSC: 41A60 30E15 PDFBibTeX XMLCite \textit{A. Kroó}, J. Approx. Theory 181, 1--5 (2014; Zbl 1295.41033) Full Text: DOI
Ditzian, Z. New moduli of smoothness on the unit ball, applications and computability. (English) Zbl 1293.41006 J. Approx. Theory 180, 49-76 (2014). Reviewer: Jorge Bustamante González (Puebla) MSC: 41A17 41A10 41A63 41A50 PDFBibTeX XMLCite \textit{Z. Ditzian}, J. Approx. Theory 180, 49--76 (2014; Zbl 1293.41006) Full Text: DOI
Lukashov, Alexey; Tyshkevich, Sergey On trigonometric polynomials deviating least from zero on an interval. (English) Zbl 1273.41021 J. Approx. Theory 168, 18-32 (2013). MSC: 41A50 42A10 PDFBibTeX XMLCite \textit{A. Lukashov} and \textit{S. Tyshkevich}, J. Approx. Theory 168, 18--32 (2013; Zbl 1273.41021) Full Text: DOI
Bustamante, Jorge; Quesada, José M.; Martínez-Cruz, Reinaldo Best one-sided \(L_1\) approximation to the Heaviside and sign functions. (English) Zbl 1248.41013 J. Approx. Theory 164, No. 6, 791-802 (2012). Reviewer: Alexey Alimov (Moskva) MSC: 41A10 41A50 PDFBibTeX XMLCite \textit{J. Bustamante} et al., J. Approx. Theory 164, No. 6, 791--802 (2012; Zbl 1248.41013) Full Text: DOI
Sinclair, Christopher D.; Yattselev, Maxim L. Universality for ensembles of matrices with potential theoretic weights on domains with smooth boundary. (English) Zbl 1243.15024 J. Approx. Theory 164, No. 5, 682-708 (2012). Reviewer: Grozio Stanilov (Sofia) MSC: 15B52 31B15 62H20 PDFBibTeX XMLCite \textit{C. D. Sinclair} and \textit{M. L. Yattselev}, J. Approx. Theory 164, No. 5, 682--708 (2012; Zbl 1243.15024) Full Text: DOI arXiv
Rauhut, Holger; Ward, Rachel Sparse Legendre expansions via \(\ell_1\)-minimization. (English) Zbl 1239.65018 J. Approx. Theory 164, No. 5, 517-533 (2012). Reviewer: Manfred Tasche (Rostock) MSC: 65D20 42C10 94A20 65D05 33C45 PDFBibTeX XMLCite \textit{H. Rauhut} and \textit{R. Ward}, J. Approx. Theory 164, No. 5, 517--533 (2012; Zbl 1239.65018) Full Text: DOI arXiv
Dung, Dinh; Ullrich, Tino Whitney type inequalities for local anisotropic polynomial approximation. (English) Zbl 1232.41033 J. Approx. Theory 163, No. 11, 1590-1605 (2011). Reviewer: Costica Mustăţa (Cluj-Napoca) MSC: 41A50 41A10 PDFBibTeX XMLCite \textit{D. Dung} and \textit{T. Ullrich}, J. Approx. Theory 163, No. 11, 1590--1605 (2011; Zbl 1232.41033) Full Text: DOI arXiv
Peherstorfer, Franz Orthogonal polynomials on several intervals: accumulation points of recurrence coefficients and of zeros. (English) Zbl 1225.33010 J. Approx. Theory 163, No. 7, 814-837 (2011). Reviewer: Marcel G. de Bruin (Haarlem) MSC: 33C45 42C05 41A50 PDFBibTeX XMLCite \textit{F. Peherstorfer}, J. Approx. Theory 163, No. 7, 814--837 (2011; Zbl 1225.33010) Full Text: DOI arXiv
Totik, Vilmos The norm of minimal polynomials on several intervals. (English) Zbl 1221.41018 J. Approx. Theory 163, No. 6, 738-746 (2011). Reviewer: Lothar Berg (Rostock) MSC: 41A60 41A50 41A10 PDFBibTeX XMLCite \textit{V. Totik}, J. Approx. Theory 163, No. 6, 738--746 (2011; Zbl 1221.41018) Full Text: DOI Link
Moale, Ionela; Peherstorfer, Franz An explicit class of min-max polynomials on the ball and on the sphere. (English) Zbl 1229.41003 J. Approx. Theory 163, No. 6, 724-737 (2011). Reviewer: Jesus Illán González (Vigo) MSC: 41A10 41A50 30E10 PDFBibTeX XMLCite \textit{I. Moale} and \textit{F. Peherstorfer}, J. Approx. Theory 163, No. 6, 724--737 (2011; Zbl 1229.41003) Full Text: DOI
Szabados, József Notes on a classic theorem of Erdős and Grünwald. (English) Zbl 1222.33010 J. Approx. Theory 163, No. 5, 591-594 (2011). Reviewer: Marcel G. de Bruin (Haarlem) MSC: 33C45 42A15 41A05 PDFBibTeX XMLCite \textit{J. Szabados}, J. Approx. Theory 163, No. 5, 591--594 (2011; Zbl 1222.33010) Full Text: DOI
Shamis, Mira; Sodin, Sasha On the measure of the absolutely continuous spectrum for Jacobi matrices. (English) Zbl 1218.47050 J. Approx. Theory 163, No. 4, 491-504 (2011). MSC: 47B36 47A10 41A10 PDFBibTeX XMLCite \textit{M. Shamis} and \textit{S. Sodin}, J. Approx. Theory 163, No. 4, 491--504 (2011; Zbl 1218.47050) Full Text: DOI arXiv
Arestov, Vitalii V.; Mendelev, Alexei S. Trigonometric polynomials of least deviation from zero in measure and related problems. (English) Zbl 1207.42001 J. Approx. Theory 162, No. 10, 1852-1878 (2010). Reviewer: Stamatis Koumandos (Nicosia) MSC: 42A05 42A10 41A50 41A46 PDFBibTeX XMLCite \textit{V. V. Arestov} and \textit{A. S. Mendelev}, J. Approx. Theory 162, No. 10, 1852--1878 (2010; Zbl 1207.42001) Full Text: DOI arXiv Link
Bojanov, Borislav; Petrova, Guergana Quadrature formula for computed tomography. (English) Zbl 1209.33006 J. Approx. Theory 162, No. 10, 1788-1792 (2010). Reviewer: Michael Voit (Dortmund) MSC: 33C45 65D32 PDFBibTeX XMLCite \textit{B. Bojanov} and \textit{G. Petrova}, J. Approx. Theory 162, No. 10, 1788--1792 (2010; Zbl 1209.33006) Full Text: DOI
Sommer, Manfred The Chebyshev rank of multivariate polynomials in \(L^1\)-approximation. (English) Zbl 1208.41018 J. Approx. Theory 162, No. 8, 1484-1494 (2010). Reviewer: Daniel Wulbert (La Jolla) MSC: 41A50 41A10 PDFBibTeX XMLCite \textit{M. Sommer}, J. Approx. Theory 162, No. 8, 1484--1494 (2010; Zbl 1208.41018) Full Text: DOI
Cahlon, Baruch; Schmidt, Darrell Some new Chebyshev spaces. (English) Zbl 1184.41014 J. Approx. Theory 161, No. 2, 819-824 (2009). Reviewer: T.S.S.R.K. Rao (Bangalore) MSC: 41A50 41A60 PDFBibTeX XMLCite \textit{B. Cahlon} and \textit{D. Schmidt}, J. Approx. Theory 161, No. 2, 819--824 (2009; Zbl 1184.41014) Full Text: DOI
Totik, Vilmos Chebyshev constants and the inheritance problem. (English) Zbl 1190.41002 J. Approx. Theory 160, No. 1-2, 187-201 (2009). Reviewer: Jesus Illán González (Vigo) MSC: 41A10 31A15 PDFBibTeX XMLCite \textit{V. Totik}, J. Approx. Theory 160, No. 1--2, 187--201 (2009; Zbl 1190.41002) Full Text: DOI
Peherstorfer, Franz Interlacing and spacing properties of zeros of polynomials, in particular of orthogonal and \(L_q\)-minimal polynomials, \(q\in [1,\infty ]\). (English) Zbl 1204.42041 J. Approx. Theory 160, No. 1-2, 171-186 (2009). Reviewer: Borislav Crstici (Timişoara) MSC: 42C05 41A10 41A50 PDFBibTeX XMLCite \textit{F. Peherstorfer}, J. Approx. Theory 160, No. 1--2, 171--186 (2009; Zbl 1204.42041) Full Text: DOI
Ganzburg, Michael I. Polynomial interpolation, an \(L\)-function, and pointwise approximation of continuous functions. (English) Zbl 1158.41003 J. Approx. Theory 153, No. 1, 1-18 (2008). Reviewer: Jesus Illán González (Vigo) MSC: 41A10 41A05 11M06 PDFBibTeX XMLCite \textit{M. I. Ganzburg}, J. Approx. Theory 153, No. 1, 1--18 (2008; Zbl 1158.41003) Full Text: DOI
Foucart, Simon Interlacing property for B-splines. (English) Zbl 1077.41007 J. Approximation Theory 135, No. 1, 1-21 (2005). Reviewer: D. K. Ugulawa (Tbilisi) MSC: 41A15 65D07 PDFBibTeX XMLCite \textit{S. Foucart}, J. Approx. Theory 135, No. 1, 1--21 (2005; Zbl 1077.41007) Full Text: DOI
Wang, Ren-hong; Heng, Zhou Chebyshev’s maximum principle in several variables. (English) Zbl 1034.42027 J. Approximation Theory 123, No. 2, 276-279 (2003). Reviewer: Alexei Lukashov (Saratov) MSC: 42C05 41A50 PDFBibTeX XMLCite \textit{R.-h. Wang} and \textit{Z. Heng}, J. Approx. Theory 123, No. 2, 276--279 (2003; Zbl 1034.42027) Full Text: DOI
Maiorov, Vitaly On best approximation of classes by radial functions. (English) Zbl 1013.41013 J. Approximation Theory 120, No. 1, 36-70 (2003). Reviewer: Yuly Makovoz (Lowell) MSC: 41A50 41A46 PDFBibTeX XMLCite \textit{V. Maiorov}, J. Approx. Theory 120, No. 1, 36--70 (2003; Zbl 1013.41013) Full Text: DOI
Ganzburg, Michael I. The Bernstein constant and polynomial interpolation at the Chebyshev nodes. (English) Zbl 1035.41015 J. Approximation Theory 119, No. 2, 193-213 (2002). Reviewer: Jürgen Müller (Trier) MSC: 41A44 41A05 41A10 PDFBibTeX XMLCite \textit{M. I. Ganzburg}, J. Approx. Theory 119, No. 2, 193--213 (2002; Zbl 1035.41015) Full Text: DOI Link
Shen, Li-Chien On polynomial approximation of square integrable functions on a subarc of the unit circle. (English) Zbl 1004.41014 J. Approximation Theory 114, No. 2, 152-163 (2002). Reviewer: T. D. Narang (Amritsar) MSC: 41A50 41A10 41A63 PDFBibTeX XMLCite \textit{L.-C. Shen}, J. Approx. Theory 114, No. 2, 152--163 (2002; Zbl 1004.41014) Full Text: DOI
Kovacheva, R. K.; Ławrynowicz, J. An analogue of Montel’s theorem for rational functions of best \(L_p\)-approximation. (English) Zbl 0997.41009 J. Approximation Theory 115, No. 1, 56-71 (2002). Reviewer: Costica Mustăţa (Cluj-Napoca) MSC: 41A20 41A50 30E10 30C15 32A19 41A10 PDFBibTeX XMLCite \textit{R. K. Kovacheva} and \textit{J. Ławrynowicz}, J. Approx. Theory 115, No. 1, 56--71 (2002; Zbl 0997.41009) Full Text: DOI
Peherstorfer, Franz Deformation of minimal polynomials and approximation of several intervals by an inverse polynomial mapping. (English) Zbl 1025.42014 J. Approximation Theory 111, No. 2, 180-195 (2001). MSC: 42C05 41A10 41A50 PDFBibTeX XMLCite \textit{F. Peherstorfer}, J. Approx. Theory 111, No. 2, 180--195 (2001; Zbl 1025.42014) Full Text: DOI
Shi, Ying Guang On Christoffel type functions for \(L_m\) extremal polynomials. II. (English) Zbl 0988.41016 J. Approximation Theory 111, No. 1, 59-80 (2001). Reviewer: Luigi Gatteschi (Torino) MSC: 41A50 41A10 PDFBibTeX XMLCite \textit{Y. G. Shi}, J. Approx. Theory 111, No. 1, 59--80 (2001; Zbl 0988.41016) Full Text: DOI
Mastroianni, Giuseppe; Totik, Vilmos Best approximation and moduli of smoothness for doubling weights. (English) Zbl 0981.41016 J. Approximation Theory 110, No. 2, 180-199 (2001). Reviewer: S.M.Mazhar (Kuwait) MSC: 41A50 41A10 41A25 PDFBibTeX XMLCite \textit{G. Mastroianni} and \textit{V. Totik}, J. Approx. Theory 110, No. 2, 180--199 (2001; Zbl 0981.41016) Full Text: DOI
Duran, Antonio J.; Daneri-Vias, Enrique Ratio asymptotics for orthogonal matrix polynomials with unbounded recurrence coefficients. (English) Zbl 0988.42018 J. Approximation Theory 110, No. 1, 1-17 (2001). Reviewer: Andrei Martínez Finkelshtein (Almeria) MSC: 42C05 PDFBibTeX XMLCite \textit{A. J. Duran} and \textit{E. Daneri-Vias}, J. Approx. Theory 110, No. 1, 1--17 (2001; Zbl 0988.42018) Full Text: DOI
Bruj, I.; Schmieder, G. Best approximation and saturation on domains bounded by curves of bounded rotation. (English) Zbl 0952.41015 J. Approximation Theory 100, No. 1, 157-182 (1999). Reviewer: D.K.Ugulawa (Tbilisi) MSC: 41A40 41A50 PDFBibTeX XMLCite \textit{I. Bruj} and \textit{G. Schmieder}, J. Approx. Theory 100, No. 1, 157--182 (1999; Zbl 0952.41015) Full Text: DOI
Gehlen, Wolfgang On the distribution of alternation points in uniform polynomial approximation of entire functions. (English) Zbl 0914.41012 J. Approximation Theory 94, No. 3, 467-480 (1998). Reviewer: J.Gilewicz (Marseille) MSC: 41A50 PDFBibTeX XMLCite \textit{W. Gehlen}, J. Approx. Theory 94, No. 3, 467--480 (1998; Zbl 0914.41012) Full Text: DOI
Cooper, S. Clement; Gustafson, Philip E. The strong Chebyshev distribution and orthogonal Laurent polynomials. (English) Zbl 0930.42011 J. Approximation Theory 92, No. 3, 361-378 (1998). Reviewer: W.Van Assche (Heverlee) MSC: 42C05 33C45 PDFBibTeX XMLCite \textit{S. C. Cooper} and \textit{P. E. Gustafson}, J. Approx. Theory 92, No. 3, 361--378 (1998; Zbl 0930.42011) Full Text: DOI
Dung, Dinh Best multivariate approximations by trigonometric polynomials with frequencies from hyperbolic crosses. (English) Zbl 0904.42017 J. Approximation Theory 91, No. 2, 205-225 (1997). Reviewer: L.Leindler (Szeged) MSC: 42B99 41A50 42A10 41A63 PDFBibTeX XMLCite \textit{D. Dung}, J. Approx. Theory 91, No. 2, 205--225 (1997; Zbl 0904.42017) Full Text: DOI
Kroó, András; Schmidt, Darrell Some extremal problems for multivariate polynomials on convex bodies. (English) Zbl 0894.41013 J. Approximation Theory 90, No. 3, 415-434 (1997). Reviewer: S.M.Mazhar (Kuwait) MSC: 41A17 41A63 41A50 PDFBibTeX XMLCite \textit{A. Kroó} and \textit{D. Schmidt}, J. Approx. Theory 90, No. 3, 415--434 (1997; Zbl 0894.41013) Full Text: DOI
Felten, Michael Characterization of best algebraic approximation by an algebraic modulus of smoothness. (English) Zbl 0874.41011 J. Approximation Theory 89, No. 1, 1-25 (1997). Reviewer: I.Serb (Cluj-Napoca) MSC: 41A50 PDFBibTeX XMLCite \textit{M. Felten}, J. Approx. Theory 89, No. 1, 1--25 (1997; Zbl 0874.41011) Full Text: DOI
Peherstorfer, Franz; Steinbauer, Robert Orthogonal polynomials on arcs of the unit circle. II: Orthogonal polynomials with periodic reflection coefficients. (English) Zbl 0946.42016 J. Approximation Theory 87, No. 1, 60-102 (1996). Reviewer: Leonid B.Golinskii (MR 97k:42053) MSC: 42C05 30C10 65D20 PDFBibTeX XMLCite \textit{F. Peherstorfer} and \textit{R. Steinbauer}, J. Approx. Theory 87, No. 1, 60--102 (1996; Zbl 0946.42016) Full Text: DOI
Shevchuk, I. A. One example in monotone approximation. (English) Zbl 0868.41015 J. Approximation Theory 86, No. 3, 270-277 (1996). Reviewer: D.Leviatan (Tel Aviv) MSC: 41A29 41A10 41A50 41A25 PDFBibTeX XMLCite \textit{I. A. Shevchuk}, J. Approx. Theory 86, No. 3, 270--277 (1996; Zbl 0868.41015) Full Text: DOI
Prophet, Michael Codimension one minimal projections onto the quadratics. (English) Zbl 0919.41005 J. Approximation Theory 85, No. 1, 27-42 (1996). MSC: 41A10 41A50 47B38 PDFBibTeX XMLCite \textit{M. Prophet}, J. Approx. Theory 85, No. 1, 27--42 (1996; Zbl 0919.41005) Full Text: DOI
Arsenault, Michel; Rahman, Qazi I. On two polynomial inequalities of Erdös related to those of the brothers Markov. (English) Zbl 0842.26014 J. Approximation Theory 84, No. 2, 197-235 (1996). Reviewer: S.Norvidas (Vilnius) MSC: 26D05 41A17 26D10 41A44 PDFBibTeX XMLCite \textit{M. Arsenault} and \textit{Q. I. Rahman}, J. Approx. Theory 84, No. 2, 197--235 (1996; Zbl 0842.26014) Full Text: DOI
Tachev, Gancho T. A note on two moduli of smoothness. (English) Zbl 0820.41021 J. Approximation Theory 81, No. 1, 136-140 (1995). MSC: 41A50 41A25 41A10 PDFBibTeX XMLCite \textit{G. T. Tachev}, J. Approx. Theory 81, No. 1, 136--140 (1995; Zbl 0820.41021) Full Text: DOI
Yang, Chengmin Distribution of extreme points of the error curve of best approximation by incomplete polynomials. (English) Zbl 0832.41018 J. Approximation Theory 79, No. 3, 407-417 (1994). Reviewer: A.L.Brown (Newcastle upon Tyne) MSC: 41A50 41A10 PDFBibTeX XMLCite \textit{C. Yang}, J. Approx. Theory 79, No. 3, 407--417 (1994; Zbl 0832.41018) Full Text: DOI
Kovacheva, R.; Saff, E. B. Zeros of Padé approximants for entire functions with smooth Maclaurin coefficients. (English) Zbl 0813.41014 J. Approximation Theory 79, No. 3, 347-384 (1994). Reviewer: A.Bultheel (Leuven) MSC: 41A21 41A50 30C15 40A05 PDFBibTeX XMLCite \textit{R. Kovacheva} and \textit{E. B. Saff}, J. Approx. Theory 79, No. 3, 347--384 (1994; Zbl 0813.41014) Full Text: DOI
Bartelt, M. W.; Swetits, J. J. Characterization of the local Lipschitz constant. (English) Zbl 0808.41019 J. Approximation Theory 77, No. 3, 249-265 (1994). Reviewer: D.Zarnadze (Tbilisi) MSC: 41A50 41A10 PDFBibTeX XMLCite \textit{M. W. Bartelt} and \textit{J. J. Swetits}, J. Approx. Theory 77, No. 3, 249--265 (1994; Zbl 0808.41019) Full Text: DOI Link
Rathore, R. K. S. The problem of A. F. Timan on the precise order of decrease of the best approximations. (English) Zbl 0809.41025 J. Approximation Theory 77, No. 2, 153-166 (1994). Reviewer: V.A.Prokhorov (Minsk) MSC: 41A50 41A25 42A10 PDFBibTeX XMLCite \textit{R. K. S. Rathore}, J. Approx. Theory 77, No. 2, 153--166 (1994; Zbl 0809.41025) Full Text: DOI
Dette, Holger Extremal properties of ultraspherical polynomials. (English) Zbl 0801.41005 J. Approximation Theory 76, No. 2, 246-273 (1994). Reviewer: A.Sharma (Edmonton) MSC: 41A10 41A50 PDFBibTeX XMLCite \textit{H. Dette}, J. Approx. Theory 76, No. 2, 246--273 (1994; Zbl 0801.41005) Full Text: DOI
Xu, Shusheng Interpolation by generalized polynomials with restricted ranges. (English) Zbl 0797.41006 J. Approximation Theory 74, No. 3, 237-248 (1993). Reviewer: D.D.Stancu (Cluj-Napoca) MSC: 41A05 41A10 PDFBibTeX XMLCite \textit{S. Xu}, J. Approx. Theory 74, No. 3, 237--248 (1993; Zbl 0797.41006) Full Text: DOI
Luquin, Francisco Monic polynomials with extremal properties. (English) Zbl 0782.41012 J. Approximation Theory 74, No. 1, 28-35 (1993). Reviewer: V.A.Prokhorov (Minsk) MSC: 41A10 41A17 26D05 PDFBibTeX XMLCite \textit{F. Luquin}, J. Approx. Theory 74, No. 1, 28--35 (1993; Zbl 0782.41012) Full Text: DOI
Kroó, András On certain orthogonal polynomials, Nikolski- and Turán-type inequalities, and interpolatory properties of best approximants. (English) Zbl 0786.41024 J. Approximation Theory 73, No. 2, 162-179 (1993). Reviewer: I.Şerb (Cluj-Napoca) MSC: 41A50 41A10 41A17 41A05 PDFBibTeX XMLCite \textit{A. Kroó}, J. Approx. Theory 73, No. 2, 162--179 (1993; Zbl 0786.41024) Full Text: DOI
Prévost, Marc Dirac masses determination with orthogonal polynomials and \(\epsilon\)- algorithm. Application to totally monotonic sequences. (English) Zbl 0760.42011 J. Approximation Theory 71, No. 2, 175-192 (1992). Reviewer: W.Van Assche (Heverlee) MSC: 42C05 65B05 PDFBibTeX XMLCite \textit{M. Prévost}, J. Approx. Theory 71, No. 2, 175--192 (1992; Zbl 0760.42011) Full Text: DOI
Huang, Xiaoming An extremal property for Chebyshev polynomials. (English) Zbl 0761.41030 J. Approximation Theory 71, No. 2, 138-144 (1992). Reviewer: P.Achuthan (Madras) MSC: 41A50 PDFBibTeX XMLCite \textit{X. Huang}, J. Approx. Theory 71, No. 2, 138--144 (1992; Zbl 0761.41030) Full Text: DOI
Rahman, Q. I.; Watt, A. O. Polynomials with a parabolic majorant and the Duffin-Schaeffer inequality. (English) Zbl 0756.41014 J. Approximation Theory 69, No. 3, 338-354 (1992). Reviewer: P.Achuthan (Madras) MSC: 41A10 PDFBibTeX XMLCite \textit{Q. I. Rahman} and \textit{A. O. Watt}, J. Approx. Theory 69, No. 3, 338--354 (1992; Zbl 0756.41014) Full Text: DOI
Varma, A. K. On some extremal properties of algebraic polynomials. (English) Zbl 0783.41006 J. Approximation Theory 69, No. 1, 48-54 (1992). Reviewer: F.Haslinger (Wien) MSC: 41A10 41A50 PDFBibTeX XMLCite \textit{A. K. Varma}, J. Approx. Theory 69, No. 1, 48--54 (1992; Zbl 0783.41006) Full Text: DOI
Peherstorfer, Franz On Bernstein-Szegö orthogonal polynomials on several intervals. II: Orthogonal polynomials with periodic recurrence coefficients. (English) Zbl 0721.42017 J. Approximation Theory 64, No. 2, 123-161 (1991). MSC: 42C05 33C45 PDFBibTeX XMLCite \textit{F. Peherstorfer}, J. Approx. Theory 64, No. 2, 123--161 (1991; Zbl 0721.42017) Full Text: DOI
Totik, Vilmos Sharpness of Timan’s converse result for polynomial approximation. (English) Zbl 0746.41013 J. Approximation Theory 67, No. 3, 357-359 (1991). Reviewer: Elias Y. Deeba (Houston) MSC: 41A10 41A50 PDFBibTeX XMLCite \textit{V. Totik}, J. Approx. Theory 67, No. 3, 357--359 (1991; Zbl 0746.41013) Full Text: DOI
Wójcik, Adam P. Some remarks on Bernstein’s theorems. (English) Zbl 0752.41035 J. Approximation Theory 67, No. 3, 252-269 (1991). Reviewer: S.Cobzaş (Cluj-Napoca) MSC: 41A65 41A50 41A63 41A10 PDFBibTeX XMLCite \textit{A. P. Wójcik}, J. Approx. Theory 67, No. 3, 252--269 (1991; Zbl 0752.41035) Full Text: DOI
Fischer, Bernd; Freund, Roland Chebyshev polynomials are not always optimal. (English) Zbl 0738.41027 J. Approximation Theory 65, No. 3, 261-272 (1991). Reviewer: D.Zarnadze (Tbilisi) MSC: 41A50 41A10 PDFBibTeX XMLCite \textit{B. Fischer} and \textit{R. Freund}, J. Approx. Theory 65, No. 3, 261--272 (1991; Zbl 0738.41027) Full Text: DOI
Elosser, P. Douglas Chebychev coefficients in approximation of powers of \(x\). (English) Zbl 0737.41005 J. Approximation Theory 63, No. 3, 293-302 (1990). Reviewer: D.Leviatan (Tel Aviv) MSC: 41A10 41A25 41A30 41A50 PDFBibTeX XMLCite \textit{P. D. Elosser}, J. Approx. Theory 63, No. 3, 293--302 (1990; Zbl 0737.41005) Full Text: DOI
Petras, Knut On the minimal norms of polynomial projections. (English) Zbl 0734.41034 J. Approximation Theory 62, No. 2, 206-212 (1990). Reviewer: C.G.Lascarides (Athens) MSC: 41A65 41A10 41A44 41A50 PDFBibTeX XMLCite \textit{K. Petras}, J. Approx. Theory 62, No. 2, 206--212 (1990; Zbl 0734.41034) Full Text: DOI
Borwein, Peter Zeros of Chebyshev polynomials in Markov systems. (English) Zbl 0733.41012 J. Approximation Theory 63, No. 1, 56-64 (1990). Reviewer: D.Leviatan (Tel Aviv) MSC: 41A10 41A50 PDFBibTeX XMLCite \textit{P. Borwein}, J. Approx. Theory 63, No. 1, 56--64 (1990; Zbl 0733.41012) Full Text: DOI
Fiedler, H.; Jurkat, W. B. Best \(L^ 1\)-approximation by polynomials. II. (English) Zbl 0729.41010 J. Approximation Theory 63, No. 3, 267-272 (1990). Reviewer: A.Lukashov (Saratov) MSC: 41A10 42A10 41A50 PDFBibTeX XMLCite \textit{H. Fiedler} and \textit{W. B. Jurkat}, J. Approx. Theory 63, No. 3, 267--272 (1990; Zbl 0729.41010) Full Text: DOI
Bartelt, Martin; Kaufman, Edwin H. jun.; Swetits, John Uniform Lipschitz constants in Chebyshev polynomial approximation. (English) Zbl 0729.41009 J. Approximation Theory 62, No. 1, 23-38 (1990). Reviewer: I.Badea (Craiova) MSC: 41A10 41A50 PDFBibTeX XMLCite \textit{M. Bartelt} et al., J. Approx. Theory 62, No. 1, 23--38 (1990; Zbl 0729.41009) Full Text: DOI
Li, X.; Saff, E. B.; Sha, Z. Behavior of best \(L_ p\) polynomial approximants on the unit interval and on the unit circle. (English) Zbl 0728.41024 J. Approximation Theory 63, No. 2, 170-190 (1990). Reviewer: W.Plesniak (Kraków) MSC: 41A50 30G12 PDFBibTeX XMLCite \textit{X. Li} et al., J. Approx. Theory 63, No. 2, 170--190 (1990; Zbl 0728.41024) Full Text: DOI
Totik, V. On a polynomial inequality of Turán. (English) Zbl 0723.41013 J. Approximation Theory 63, No. 1, 121-122 (1990). Reviewer: G.D.Taylor (Fort Collins) MSC: 41A17 PDFBibTeX XMLCite \textit{V. Totik}, J. Approx. Theory 63, No. 1, 121--122 (1990; Zbl 0723.41013) Full Text: DOI
Boyd, John P. The orthogonal rational functions of Higgins and Christov and algebraically mapped Chebyshev polynomials. (English) Zbl 0717.42029 J. Approximation Theory 61, No. 1, 98-105 (1990). Reviewer: T.Šalát MSC: 42C05 42C30 PDFBibTeX XMLCite \textit{J. P. Boyd}, J. Approx. Theory 61, No. 1, 98--105 (1990; Zbl 0717.42029) Full Text: DOI
He, Jiaxing On an interpolation process of S. N. Bernstein. (English) Zbl 0698.41002 J. Approximation Theory 60, No. 2, 123-132 (1990). Reviewer: Shi Yingguang MSC: 41A05 PDFBibTeX XMLCite \textit{J. He}, J. Approx. Theory 60, No. 2, 123--132 (1990; Zbl 0698.41002) Full Text: DOI
Reddy, A. R. Note on a result of Erdős. (English) Zbl 0707.26010 J. Approximation Theory 57, No. 3, 347-348 (1989). Reviewer: T.Šalát MSC: 26C05 33C45 PDFBibTeX XMLCite \textit{A. R. Reddy}, J. Approx. Theory 57, No. 3, 347--348 (1989; Zbl 0707.26010) Full Text: DOI
Kannan, V.; Ravichandran, S. Simultaneous best approximation by three polynomials. (English) Zbl 0701.41011 J. Approximation Theory 59, No. 3, 258-266 (1989). Reviewer: D.N.Zarnadze MSC: 41A10 41A50 41A28 PDFBibTeX XMLCite \textit{V. Kannan} and \textit{S. Ravichandran}, J. Approx. Theory 59, No. 3, 258--266 (1989; Zbl 0701.41011) Full Text: DOI
Ali, Sayel A. Upper bound for the degree of an approximating monomial. (English) Zbl 0698.41005 J. Approximation Theory 59, No. 1, 12-37 (1989). Reviewer: W.Lenski MSC: 41A10 41A25 41A50 PDFBibTeX XMLCite \textit{S. A. Ali}, J. Approx. Theory 59, No. 1, 12--37 (1989; Zbl 0698.41005) Full Text: DOI Link
Anastassiou, George A. Rate of convergence of positive linear operators using an extended complete Tchebycheff system. (English) Zbl 0697.41011 J. Approximation Theory 59, No. 2, 125-149 (1989). Reviewer: H.R.Dowson MSC: 41A36 41A25 41A50 PDFBibTeX XMLCite \textit{G. A. Anastassiou}, J. Approx. Theory 59, No. 2, 125--149 (1989; Zbl 0697.41011) Full Text: DOI
Reddy, A. R. On rational approximation to \(| x|\). (English) Zbl 0694.41021 J. Approximation Theory 58, No. 2, 244-245 (1989). Reviewer: S.N.Bhatt MSC: 41A20 PDFBibTeX XMLCite \textit{A. R. Reddy}, J. Approx. Theory 58, No. 2, 244--245 (1989; Zbl 0694.41021) Full Text: DOI
Sun, Xingping On a problem in monotone approximation. (English) Zbl 0691.41007 J. Approximation Theory 57, No. 3, 239-244 (1989). Reviewer: Y.Sitaraman MSC: 41A10 41A50 PDFBibTeX XMLCite \textit{X. Sun}, J. Approx. Theory 57, No. 3, 239--244 (1989; Zbl 0691.41007) Full Text: DOI
Lenze, Burkhard Uniqueness in best one-sided \(L_ 1\)-approximation by algebraic polynomials on unbounded intervals. (English) Zbl 0686.41007 J. Approximation Theory 57, No. 2, 169-177 (1989). Reviewer: G.D.Dikshit MSC: 41A10 41A50 PDFBibTeX XMLCite \textit{B. Lenze}, J. Approx. Theory 57, No. 2, 169--177 (1989; Zbl 0686.41007) Full Text: DOI
Thiran, J. P.; Detaille, C. On real and complex-valued bivariate Chebyshev polynomials. (English) Zbl 0686.41006 J. Approximation Theory 59, No. 3, 321-337 (1989). Reviewer: S.S.Dragomir MSC: 41A10 41A50 PDFBibTeX XMLCite \textit{J. P. Thiran} and \textit{C. Detaille}, J. Approx. Theory 59, No. 3, 321--337 (1989; Zbl 0686.41006) Full Text: DOI
Barrar, R. B.; Bojanov, B. D.; Loeb, H. L. Generalized polynomials of minimal norm. (English) Zbl 0679.41013 J. Approximation Theory 56, No. 1, 91-100 (1989). Reviewer: A.-I.Lupaş (Sibiu) MSC: 41A30 41A40 41A10 41A55 41A50 41A65 PDFBibTeX XMLCite \textit{R. B. Barrar} et al., J. Approx. Theory 56, No. 1, 91--100 (1989; Zbl 0679.41013) Full Text: DOI
Leviatan, D. Monotone and comonotone polynomial approximation revisited. (English) Zbl 0697.41001 J. Approximation Theory 53, No. 1, 1-16 (1988). MSC: 41A10 41A25 41A29 41A50 PDFBibTeX XMLCite \textit{D. Leviatan}, J. Approx. Theory 53, No. 1, 1--16 (1988; Zbl 0697.41001) Full Text: DOI
Brass, Helmut A remark on best \(L^ 1\)-approximation by polynomials. (English) Zbl 0696.41004 J. Approximation Theory 52, No. 3, 359-361 (1988). MSC: 41A10 41A50 41A15 PDFBibTeX XMLCite \textit{H. Brass}, J. Approx. Theory 52, No. 3, 359--361 (1988; Zbl 0696.41004) Full Text: DOI
Brutman, L. Alternating polynomials associated with the Chebyshev extrema nodes. (English) Zbl 0676.41003 J. Approximation Theory 53, No. 1, 33-40 (1988). Reviewer: A.Sharma MSC: 41A05 41A10 41A50 PDFBibTeX XMLCite \textit{L. Brutman}, J. Approx. Theory 53, No. 1, 33--40 (1988; Zbl 0676.41003) Full Text: DOI