Potseiko, P. G.; Rovba, E. A. The Riesz-Zygmund sums of Fourier-Chebyshev rational integral operators and their approximation properties. (English. Russian original) Zbl 07804697 Sib. Math. J. 65, No. 1, 118-138 (2024); translation from Sib. Mat. Zh. 65, No. 1, 140-163 (2024). MSC: 41Axx 42Axx 34Exx PDFBibTeX XMLCite \textit{P. G. Potseiko} and \textit{E. A. Rovba}, Sib. Math. J. 65, No. 1, 118--138 (2024; Zbl 07804697); translation from Sib. Mat. Zh. 65, No. 1, 140--163 (2024) Full Text: DOI
An, Congpei; Wu, Hao-Ning Bypassing the quadrature exactness assumption of hyperinterpolation on the sphere. (English) Zbl 07799846 J. Complexity 80, Article ID 101789, 23 p. (2024). Reviewer: Steven B. Damelin (Ann Arbor) MSC: 65D32 41A10 41A55 42C10 33C55 PDFBibTeX XMLCite \textit{C. An} and \textit{H.-N. Wu}, J. Complexity 80, Article ID 101789, 23 p. (2024; Zbl 07799846) Full Text: DOI arXiv
Álvarez-Peña, C.; Morais, J.; Michael Porter, R. Reduced-quaternion inframonogenic functions on the ball. (English) Zbl 07816037 Math. Methods Appl. Sci. 46, No. 18, 18935-18951 (2023). MSC: 30G35 31B30 42C30 PDFBibTeX XMLCite \textit{C. Álvarez-Peña} et al., Math. Methods Appl. Sci. 46, No. 18, 18935--18951 (2023; Zbl 07816037) Full Text: DOI arXiv
Kundu, Manab; Prasad, Akhilesh Pseudo-differential operator in quaternion space. (English) Zbl 07783884 Math. Methods Appl. Sci. 46, No. 9, 10749-10766 (2023). MSC: 42A38 42B10 44A15 44A35 47G30 35S05 PDFBibTeX XMLCite \textit{M. Kundu} and \textit{A. Prasad}, Math. Methods Appl. Sci. 46, No. 9, 10749--10766 (2023; Zbl 07783884) Full Text: DOI
Doliwa, Adam; Siemaszko, Artur Hermite-Padé approximation and integrability. (English) Zbl 1519.41005 J. Approx. Theory 292, Article ID 105910, 23 p. (2023). Reviewer: Adhemar Bultheel (Leuven) MSC: 41A21 37N30 37K20 37K60 42C05 51A20 65Q30 PDFBibTeX XMLCite \textit{A. Doliwa} and \textit{A. Siemaszko}, J. Approx. Theory 292, Article ID 105910, 23 p. (2023; Zbl 1519.41005) Full Text: DOI arXiv
Bulíček, Miroslav; Gwiazda, Piotr; Skrzeczkowski, Jakub; Woźnicki, Jakub Non-Newtonian fluids with discontinuous-in-time stress tensor. (English) Zbl 1514.35345 J. Funct. Anal. 285, No. 2, Article ID 109943, 42 p. (2023). Reviewer: Julie L. Levandosky (Framingham) MSC: 35Q35 76A05 35K90 35B40 42B25 PDFBibTeX XMLCite \textit{M. Bulíček} et al., J. Funct. Anal. 285, No. 2, Article ID 109943, 42 p. (2023; Zbl 1514.35345) Full Text: DOI arXiv
Mildenberger, Sophie; Quellmalz, Michael Approximation properties of the double Fourier sphere method. (English) Zbl 1485.42011 J. Fourier Anal. Appl. 28, No. 2, Paper No. 31, 30 p. (2022). MSC: 42B05 42C10 43A90 65T50 46E35 PDFBibTeX XMLCite \textit{S. Mildenberger} and \textit{M. Quellmalz}, J. Fourier Anal. Appl. 28, No. 2, Paper No. 31, 30 p. (2022; Zbl 1485.42011) Full Text: DOI arXiv
Hesse, Kerstin; Le Gia, Quoc Thong \(L_2\) error estimates for polynomial discrete penalized least-squares approximation on the sphere from noisy data. (English) Zbl 1484.65030 J. Comput. Appl. Math. 408, Article ID 114118, 26 p. (2022). MSC: 65D10 33C55 41A30 41A55 42C10 65D32 PDFBibTeX XMLCite \textit{K. Hesse} and \textit{Q. T. Le Gia}, J. Comput. Appl. Math. 408, Article ID 114118, 26 p. (2022; Zbl 1484.65030) Full Text: DOI
González-Cervantes, J. Oscar; Bory-Reyes, Juan On Bergman spaces induced by a \(\mathbf{v}\)-Laplacian vector fields theory. (English) Zbl 1494.30084 J. Math. Anal. Appl. 505, No. 2, Article ID 125523, 18 p. (2022). Reviewer: Regina de Almeida (Vila Real) MSC: 30G35 32A36 42B35 PDFBibTeX XMLCite \textit{J. O. González-Cervantes} and \textit{J. Bory-Reyes}, J. Math. Anal. Appl. 505, No. 2, Article ID 125523, 18 p. (2022; Zbl 1494.30084) Full Text: DOI
Mishra, Rohit Kumar; Monard, François Range characterizations and singular value decomposition of the geodesic X-ray transform on disks of constant curvature. (English) Zbl 1494.44003 J. Spectr. Theory 11, No. 3, 1005-1041 (2021). MSC: 44A12 42C05 47A70 53C21 PDFBibTeX XMLCite \textit{R. K. Mishra} and \textit{F. Monard}, J. Spectr. Theory 11, No. 3, 1005--1041 (2021; Zbl 1494.44003) Full Text: DOI arXiv
Hesse, Kerstin; Sloan, Ian H.; Womersley, Robert S. Local RBF-based penalized least-squares approximation on the sphere with noisy scattered data. (English) Zbl 1484.65031 J. Comput. Appl. Math. 382, Article ID 113061, 20 p. (2021). MSC: 65D12 41A15 65D07 65D10 33C55 42C10 46E35 PDFBibTeX XMLCite \textit{K. Hesse} et al., J. Comput. Appl. Math. 382, Article ID 113061, 20 p. (2021; Zbl 1484.65031) Full Text: DOI
Osgooei, Elnaz; Fereydooni, Abolhassan Properties of frame mappings devised by controlled p-frames and p-frames. (English) Zbl 1459.42046 Bull. Belg. Math. Soc. - Simon Stevin 27, No. 3, 467-479 (2020). MSC: 42C15 42C40 41A58 47H05 PDFBibTeX XMLCite \textit{E. Osgooei} and \textit{A. Fereydooni}, Bull. Belg. Math. Soc. - Simon Stevin 27, No. 3, 467--479 (2020; Zbl 1459.42046) Full Text: DOI Euclid
Foupouagnigni, Mama An introduction to orthogonal polynomials. (English) Zbl 1443.33011 Foupouagnigni, Mama (ed.) et al., Orthogonal polynomials. Proceedings of the 2nd AIMS-Volkswagen Stiftung workshop on introduction to orthogonal polynomials and applications, Douala, Cameroon, October 5–12, 2018. Cham: Birkhäuser. Tutor. Sch. Workshops Math. Sci., 3-24 (2020). MSC: 33C45 42C05 PDFBibTeX XMLCite \textit{M. Foupouagnigni}, in: Orthogonal polynomials. Proceedings of the 2nd AIMS-Volkswagen Stiftung workshop on introduction to orthogonal polynomials and applications, Douala, Cameroon, October 5--12, 2018. Cham: Birkhäuser. 3--24 (2020; Zbl 1443.33011) Full Text: DOI
Costabile, F. A.; Gualtieri, M. I.; Napoli, A. Matrix calculus-based approach to orthogonal polynomial sequences. (English) Zbl 1443.42015 Mediterr. J. Math. 17, No. 4, Paper No. 118, 22 p. (2020). MSC: 42C05 11B83 33C45 PDFBibTeX XMLCite \textit{F. A. Costabile} et al., Mediterr. J. Math. 17, No. 4, Paper No. 118, 22 p. (2020; Zbl 1443.42015) Full Text: DOI
Sidki, S.; Sadaka, R.; Benazzouz, A. Computing recursive orthogonal polynomial with Schur complements. (English) Zbl 1524.65099 J. Comput. Appl. Math. 373, Article ID 112406, 17 p. (2020). MSC: 65D20 42C05 65B05 65F99 PDFBibTeX XMLCite \textit{S. Sidki} et al., J. Comput. Appl. Math. 373, Article ID 112406, 17 p. (2020; Zbl 1524.65099) Full Text: DOI
Bernstein, Swanhild; Schufmann, Sandra Generalized Riesz transforms, quasi-monogenic functions and frames. (English) Zbl 1442.42037 Bernstein, Swanhild (ed.), Topics in Clifford analysis. Special volume in honor of Wolfgang Sprößig on the occasion of his 70th birthday. Cham: Birkhäuser. Trends Math., 191-218 (2019). MSC: 42B20 42C15 44A15 94A12 PDFBibTeX XMLCite \textit{S. Bernstein} and \textit{S. Schufmann}, in: Topics in Clifford analysis. Special volume in honor of Wolfgang Sprößig on the occasion of his 70th birthday. Cham: Birkhäuser. 191--218 (2019; Zbl 1442.42037) Full Text: DOI
Martínez, Noé; Garza, Luis E.; Aguirre-Hernández, Baltazar On sequences of Hurwitz polynomials related to orthogonal polynomials. (English) Zbl 1425.42029 Linear Multilinear Algebra 67, No. 11, 2191-2208 (2019). Reviewer: Pierluigi Vellucci (Roma) MSC: 42C05 93D20 PDFBibTeX XMLCite \textit{N. Martínez} et al., Linear Multilinear Algebra 67, No. 11, 2191--2208 (2019; Zbl 1425.42029) Full Text: DOI
Shashikala, P. Extraction of orthogonal polynomials from generating function for reciprocal of odd numbers. (English) Zbl 1382.33017 Indian J. Pure Appl. Math. 48, No. 2, 177-185 (2017). MSC: 33C45 05A15 41A21 42C05 PDFBibTeX XMLCite \textit{P. Shashikala}, Indian J. Pure Appl. Math. 48, No. 2, 177--185 (2017; Zbl 1382.33017) Full Text: DOI
Hesse, Kerstin; Sloan, Ian H.; Womersley, Robert S. Radial basis function approximation of noisy scattered data on the sphere. (English) Zbl 1380.41005 Numer. Math. 137, No. 3, 579-605 (2017). Reviewer: Martin D. Buhmann (Gießen) MSC: 41A15 65D07 65D10 33C55 42C10 PDFBibTeX XMLCite \textit{K. Hesse} et al., Numer. Math. 137, No. 3, 579--605 (2017; Zbl 1380.41005) Full Text: DOI
Eelbode, David; Janssens, Tim Higher spin generalisation of the Gegenbauer polynomials. (English) Zbl 1473.43009 Complex Anal. Oper. Theory 11, No. 5, 1173-1192 (2017). MSC: 43A90 30G35 33C45 42B35 PDFBibTeX XMLCite \textit{D. Eelbode} and \textit{T. Janssens}, Complex Anal. Oper. Theory 11, No. 5, 1173--1192 (2017; Zbl 1473.43009) Full Text: DOI
Boltaev, N. D.; Hayotov, A. R.; Shadimetov, Kh. M. Construction of optimal quadrature formulas for Fourier coefficients in Sobolev space \(L_{2}^{(m)}(0,1)\). (English) Zbl 1364.65302 Numer. Algorithms 74, No. 2, 307-336 (2017). Reviewer: Antonio Linero Bas (Murcia) MSC: 65T40 65D32 46E35 42A16 PDFBibTeX XMLCite \textit{N. D. Boltaev} et al., Numer. Algorithms 74, No. 2, 307--336 (2017; Zbl 1364.65302) Full Text: DOI
Eelbode, David; Hitzer, Eckhard Operator exponentials for the Clifford Fourier transform on multivector fields in detail. (English) Zbl 1350.42017 Adv. Appl. Clifford Algebr. 26, No. 3, 953-968 (2016). MSC: 42B10 15A66 30G35 42B37 PDFBibTeX XMLCite \textit{D. Eelbode} and \textit{E. Hitzer}, Adv. Appl. Clifford Algebr. 26, No. 3, 953--968 (2016; Zbl 1350.42017) Full Text: DOI
Harjulehto, Petteri; Hästö, Peter; Klén, Riku Generalized Orlicz spaces and related PDE. (English) Zbl 1360.46029 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 143, 155-173 (2016). MSC: 46E35 35J60 46E30 49J40 42B25 PDFBibTeX XMLCite \textit{P. Harjulehto} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 143, 155--173 (2016; Zbl 1360.46029) Full Text: DOI
Szabłowski, Paweł J. A few remarks on orthogonal polynomials. (English) Zbl 1338.42034 Appl. Math. Comput. 252, 215-228 (2015). MSC: 42C05 PDFBibTeX XMLCite \textit{P. J. Szabłowski}, Appl. Math. Comput. 252, 215--228 (2015; Zbl 1338.42034) Full Text: DOI arXiv
Bernstein, Swanhild A fractional Hilbert transform for 2D signals. (English) Zbl 1368.42008 Adv. Appl. Clifford Algebr. 24, No. 4, 921-930 (2014). MSC: 42B08 44A15 94A12 PDFBibTeX XMLCite \textit{S. Bernstein}, Adv. Appl. Clifford Algebr. 24, No. 4, 921--930 (2014; Zbl 1368.42008) Full Text: DOI
Ziegel, Johanna Convolution roots and differentiability of isotropic positive definite functions on spheres. (English) Zbl 1305.42004 Proc. Am. Math. Soc. 142, No. 6, 2063-2077 (2014). Reviewer: Alexander Tovstolis (Stillwater) MSC: 42A82 33C50 33C55 42B99 60E10 PDFBibTeX XMLCite \textit{J. Ziegel}, Proc. Am. Math. Soc. 142, No. 6, 2063--2077 (2014; Zbl 1305.42004) Full Text: DOI arXiv
Bracciali, Cleonice F.; Pérez, Teresa E.; Piñar, Miguel A. Stieltjes functions and discrete classical orthogonal polynomials. (English) Zbl 1279.42026 Comput. Appl. Math. 32, No. 3, 537-547 (2013). Reviewer: Francisco Marcellán (Leganes) MSC: 42C05 33C45 PDFBibTeX XMLCite \textit{C. F. Bracciali} et al., Comput. Appl. Math. 32, No. 3, 537--547 (2013; Zbl 1279.42026) Full Text: DOI
Zhang, Zhi Hua Decomposition and approximation of multivariate functions on the cube. (English) Zbl 1260.42026 Acta Math. Sin., Engl. Ser. 29, No. 1, 119-136 (2013). MSC: 42C15 PDFBibTeX XMLCite \textit{Z. H. Zhang}, Acta Math. Sin., Engl. Ser. 29, No. 1, 119--136 (2013; Zbl 1260.42026) Full Text: DOI
Castro, M. H.; Menegatto, V. A.; Oliveira, C. P. Laplace-Beltrami differentiability of positive definite kernels on the sphere. (English) Zbl 1268.33010 Acta Math. Sin., Engl. Ser. 29, No. 1, 93-104 (2013). Reviewer: Michael Voit (Dortmund) MSC: 33C55 42A82 43A90 44A35 46G05 PDFBibTeX XMLCite \textit{M. H. Castro} et al., Acta Math. Sin., Engl. Ser. 29, No. 1, 93--104 (2013; Zbl 1268.33010) Full Text: DOI
Hesse, Kerstin; Womersley, Robert S. Numerical integration with polynomial exactness over a spherical cap. (English) Zbl 1256.65024 Adv. Comput. Math. 36, No. 3, 451-483 (2012). Reviewer: Josef Kofroň (Praha) MSC: 65D32 33C55 41A55 33C50 42C10 43A90 58C35 41A63 PDFBibTeX XMLCite \textit{K. Hesse} and \textit{R. S. Womersley}, Adv. Comput. Math. 36, No. 3, 451--483 (2012; Zbl 1256.65024) Full Text: DOI
Beardon, Alan F. The theorems of Stieltjes and Favard. (English) Zbl 1232.42023 Comput. Methods Funct. Theory 11, No. 1, 247-262 (2011). Reviewer: Nicolae Cotfas (Bucureşti) MSC: 42C05 33C45 33D45 PDFBibTeX XMLCite \textit{A. F. Beardon}, Comput. Methods Funct. Theory 11, No. 1, 247--262 (2011; Zbl 1232.42023) Full Text: DOI
Cvetković, Aleksandar S.; Stanić, Marija P. Trigonometric orthogonal systems. (English) Zbl 1219.42016 Gautschi, Walter (ed.) et al., Approximation and computation. In honor of Gradimir V. Milovanović. Most papers based on the presentations at the international conference, Niš, Serbia, August 25–29, 2008. Dordrecht: Springer (ISBN 978-1-4419-6593-6/hbk; 978-1-4419-6594-3/ebook). Springer Optimization and Its Applications 42, 103-116 (2011). Reviewer: Adhemar Bultheel (Leuven) MSC: 42C10 33C47 65D32 PDFBibTeX XMLCite \textit{A. S. Cvetković} and \textit{M. P. Stanić}, Springer Optim. Appl. 42, 103--116 (2011; Zbl 1219.42016) Full Text: DOI
Menegatto, V. A.; Piantella, A. C. Old and new on the Laplace-Beltrami derivative. (English) Zbl 1222.33013 Numer. Funct. Anal. Optim. 32, No. 3, 309-341 (2011). Reviewer: Stefan G. Samko (Faro) MSC: 33C55 42A85 43A85 43A90 44A35 46G05 PDFBibTeX XMLCite \textit{V. A. Menegatto} and \textit{A. C. Piantella}, Numer. Funct. Anal. Optim. 32, No. 3, 309--341 (2011; Zbl 1222.33013) Full Text: DOI
Bernstein, Swanhild; Ebert, Svend; Kraußhar, Rolf Sören On the diffusion equation and diffusion wavelets on flat cylinders and the \(n\)-torus. (English) Zbl 1215.35082 Math. Methods Appl. Sci. 34, No. 4, 428-441 (2011). Reviewer: Qin Mengzhao (Beijing) MSC: 35K05 35K10 42C40 PDFBibTeX XMLCite \textit{S. Bernstein} et al., Math. Methods Appl. Sci. 34, No. 4, 428--441 (2011; Zbl 1215.35082) Full Text: DOI
Brezinski, C. Nonlinear functional equations satisfied by orthogonal polynomials. (English) Zbl 1209.42015 J. Approx. Theory 162, No. 12, 2290-2302 (2010). Reviewer: Marcel G. de Bruin (Haarlem) MSC: 42C05 33C45 PDFBibTeX XMLCite \textit{C. Brezinski}, J. Approx. Theory 162, No. 12, 2290--2302 (2010; Zbl 1209.42015) Full Text: DOI
Jiang, Wei; Lin, Yingzhen Approximate solution of the fractional advection-dispersion equation. (English) Zbl 1210.65168 Comput. Phys. Commun. 181, No. 3, 557-561 (2010). Reviewer: Ivan Secrieru (Chişinău) MSC: 65M60 42C10 35L50 35R11 35C10 46E22 PDFBibTeX XMLCite \textit{W. Jiang} and \textit{Y. Lin}, Comput. Phys. Commun. 181, No. 3, 557--561 (2010; Zbl 1210.65168) Full Text: DOI
Cação, Isabel Complete orthonormal sets of polynomial solutions of the Riesz and Moisil-Teodorescu systems in \(\mathbb R^{3}\). (English) Zbl 1206.30067 Numer. Algorithms 55, No. 2-3, 191-203 (2010). Reviewer: Wolfgang Sprößig (Freiberg) MSC: 30G35 41A10 42C05 PDFBibTeX XMLCite \textit{I. Cação}, Numer. Algorithms 55, No. 2--3, 191--203 (2010; Zbl 1206.30067) Full Text: DOI
Menegatto, V. A.; Piantella, A. C. Convergence for summation methods with multipliers on the sphere. (English) Zbl 1207.33018 Numer. Funct. Anal. Optim. 31, No. 6, 738-753 (2010). Reviewer: Valery V. Karachik (Chelyabinsk) MSC: 33C55 41A25 42A16 42A85 43A90 44A35 PDFBibTeX XMLCite \textit{V. A. Menegatto} and \textit{A. C. Piantella}, Numer. Funct. Anal. Optim. 31, No. 6, 738--753 (2010; Zbl 1207.33018) Full Text: DOI
Böttcher, Albrecht; Kunis, Stefan; Potts, Daniel Probabilistic spherical Marcinkiewicz-Zygmund inequalities. (English) Zbl 1168.42002 J. Approx. Theory 157, No. 2, 113-126 (2009). Reviewer: Ferenc Móricz (Szeged) MSC: 42A05 PDFBibTeX XMLCite \textit{A. Böttcher} et al., J. Approx. Theory 157, No. 2, 113--126 (2009; Zbl 1168.42002) Full Text: DOI
Milovanović, Gradimir V.; Cvetković, Aleksandar S.; Stanić, Marija P. Trigonometric orthogonal systems and quadrature formulae. (English) Zbl 1165.65325 Comput. Math. Appl. 56, No. 11, 2915-2931 (2008). MSC: 65D30 41A55 42A15 PDFBibTeX XMLCite \textit{G. V. Milovanović} et al., Comput. Math. Appl. 56, No. 11, 2915--2931 (2008; Zbl 1165.65325) Full Text: DOI
Van Iseghem, Jeannette Shohat-Favard type theorem for orthogonal series. (English) Zbl 1149.41006 J. Comput. Appl. Math. 219, No. 2, 537-550 (2008). MSC: 41A21 42C20 PDFBibTeX XMLCite \textit{J. Van Iseghem}, J. Comput. Appl. Math. 219, No. 2, 537--550 (2008; Zbl 1149.41006) Full Text: DOI
Magnus, Alphonse P.; Pierrard, Viviane Formulas for recurrence coefficients of orthogonal polynomials related to Lorentzian-like weights. (English) Zbl 1214.42047 J. Comput. Appl. Math. 219, No. 2, 431-440 (2008). MSC: 42C05 PDFBibTeX XMLCite \textit{A. P. Magnus} and \textit{V. Pierrard}, J. Comput. Appl. Math. 219, No. 2, 431--440 (2008; Zbl 1214.42047) Full Text: DOI
Beckermann, Bernhard; Matos, Ana C.; Wielonsky, Franck Reduction of the Gibbs phenomenon for smooth functions with jumps by the \(\varepsilon \)-algorithm. (English) Zbl 1165.65087 J. Comput. Appl. Math. 219, No. 2, 329-349 (2008). Reviewer: Winfried Sickel (Jena) MSC: 65T40 41A21 41A20 42A16 PDFBibTeX XMLCite \textit{B. Beckermann} et al., J. Comput. Appl. Math. 219, No. 2, 329--349 (2008; Zbl 1165.65087) Full Text: DOI
Sodin, Sasha Random matrices, nonbacktracking walks, and orthogonal polynomials. (English) Zbl 1153.81436 J. Math. Phys. 48, No. 12, 123503, 21 p. (2007). MSC: 60G50 15B52 42C05 PDFBibTeX XMLCite \textit{S. Sodin}, J. Math. Phys. 48, No. 12, 123503, 21 p. (2007; Zbl 1153.81436) Full Text: DOI arXiv
Zhao, Jiman; Peng, Lizhong Quaternion-valued admissible wavelets and orthogonal decomposition of \(L^2(IG(2),\mathbb H)\). (English) Zbl 1260.42030 Front. Math. China 2, No. 3, 491-499 (2007). MSC: 42C40 15B33 46E30 PDFBibTeX XMLCite \textit{J. Zhao} and \textit{L. Peng}, Front. Math. China 2, No. 3, 491--499 (2007; Zbl 1260.42030) Full Text: DOI
Luo, Zhongxuan; Meng, Zhaoliang; Liu, Fengshan Multivariate stieltjes type theorems and location of common zeros of multivariate orthogonal polynomials. (English) Zbl 1144.33004 J. Math. Anal. Appl. 336, No. 1, 127-139 (2007). Reviewer: Ajendra Nath Srivastava (Puna) MSC: 33C45 42C05 33C50 33C70 33C90 PDFBibTeX XMLCite \textit{Z. Luo} et al., J. Math. Anal. Appl. 336, No. 1, 127--139 (2007; Zbl 1144.33004) Full Text: DOI
Constales, D.; Kraußhar, R. S. Hilbert spaces of solutions to polynomial Dirac equations, Fourier transforms and reproducing kernel functions for cylindrical domains. (English) Zbl 1096.30041 Z. Anal. Anwend. 24, No. 3, 611-636 (2005). Reviewer: Michael Shapiro (Mexico) MSC: 30G35 32A25 35Q40 46E22 42B35 31B20 33C10 PDFBibTeX XMLCite \textit{D. Constales} and \textit{R. S. Kraußhar}, Z. Anal. Anwend. 24, No. 3, 611--636 (2005; Zbl 1096.30041) Full Text: DOI
El Hajji, S.; Touijrat, L. Gaussian quadrature formulas and Laguerre-Perron’s equation. (English) Zbl 1083.41020 J. Appl. Math. Comput. 18, No. 1-2, 205-228 (2005). Reviewer: Pablo Gonzalez-Vera (La Laguna) MSC: 41A55 33D45 42C05 65D30 PDFBibTeX XMLCite \textit{S. El Hajji} and \textit{L. Touijrat}, J. Appl. Math. Comput. 18, No. 1--2, 205--228 (2005; Zbl 1083.41020) Full Text: DOI
Brezinski, C. Extrapolation algorithms for filtering series of functions, and treating the Gibbs phenomenon. (English) Zbl 1071.42003 Numer. Algorithms 36, No. 4, 309-329 (2004). MSC: 42A16 42A50 65B10 PDFBibTeX XMLCite \textit{C. Brezinski}, Numer. Algorithms 36, No. 4, 309--329 (2004; Zbl 1071.42003) Full Text: DOI
Jung, H. S. Estimates for the first and second derivatives of the Stieltjes polynomials. (English) Zbl 1043.33006 J. Approximation Theory 127, No. 2, 155-177 (2004). MSC: 33C45 42C05 65D05 PDFBibTeX XMLCite \textit{H. S. Jung}, J. Approx. Theory 127, No. 2, 155--177 (2004; Zbl 1043.33006) Full Text: DOI
Gustafson, Karl Continued fractions, wavelet time operators, and inverse problems. (English) Zbl 1059.47002 Rocky Mt. J. Math. 33, No. 2, 661-688 (2003). Reviewer: Teresa Regińska (Warszawa) MSC: 47A05 47A57 47B36 42C40 41A20 35R30 30B70 47-02 PDFBibTeX XMLCite \textit{K. Gustafson}, Rocky Mt. J. Math. 33, No. 2, 661--688 (2003; Zbl 1059.47002) Full Text: DOI
Robert, Leonel; Santiago, Luis Finite sections method for Hessenberg matrices. (English) Zbl 1053.47026 J. Approximation Theory 123, No. 1, 68-88 (2003). Reviewer: Mihai Putinar (Santa Barbara) MSC: 47B36 41A35 44A60 42C05 65F50 PDFBibTeX XMLCite \textit{L. Robert} and \textit{L. Santiago}, J. Approx. Theory 123, No. 1, 68--88 (2003; Zbl 1053.47026) Full Text: DOI
Barone, Piero Orthogonal polynomials, random matrices and the numerical inversion of the Laplace transform of positive functions. (English) Zbl 1021.65068 J. Comput. Appl. Math. 155, No. 2, 307-330 (2003). Reviewer: Som Prakash Goyal (Jaipur) MSC: 65R10 42C05 65R30 65R32 44A10 15B52 PDFBibTeX XMLCite \textit{P. Barone}, J. Comput. Appl. Math. 155, No. 2, 307--330 (2003; Zbl 1021.65068) Full Text: DOI
Mitrea, Marius Boundary value problems for Dirac operators and Maxwell’s equations in non-smooth domains. (English) Zbl 1029.35212 Math. Methods Appl. Sci. 25, No. 16-18, 1355-1369 (2002). Reviewer: A.Jeffrey (Newcastle upon Tyne) MSC: 35Q60 35J55 46E35 30G35 35F15 42B05 45E05 PDFBibTeX XMLCite \textit{M. Mitrea}, Math. Methods Appl. Sci. 25, No. 16--18, 1355--1369 (2002; Zbl 1029.35212) Full Text: DOI
Mitrea, Marius Half-Dirichlet problems for Dirac operators in Lipschitz domains. (English) Zbl 1221.30113 Adv. Appl. Clifford Algebr. 11, Suppl. 1, 121-135 (2001). MSC: 30G35 35Q40 42B20 45E05 PDFBibTeX XMLCite \textit{M. Mitrea}, Adv. Appl. Clifford Algebr. 11, 121--135 (2001; Zbl 1221.30113) Full Text: DOI
Freund, Roland W. Computation of matrix-valued formally orthogonal polynomials and applications. (English) Zbl 0980.65020 J. Comput. Appl. Math. 127, No. 1-2, 173-199 (2001). Reviewer: E.Kreyszig (Ottawa) MSC: 65D20 33C45 42C05 65F10 PDFBibTeX XMLCite \textit{R. W. Freund}, J. Comput. Appl. Math. 127, No. 1--2, 173--199 (2001; Zbl 0980.65020) Full Text: DOI
da Rocha, Zélia QD-algorithms and recurrence relations for biorthogonal polynomials. (English) Zbl 0938.42013 J. Comput. Appl. Math. 107, No. 1, 53-72 (1999). Reviewer: Marcel G.de Bruin (Delft) MSC: 42C05 41A21 PDFBibTeX XMLCite \textit{Z. da Rocha}, J. Comput. Appl. Math. 107, No. 1, 53--72 (1999; Zbl 0938.42013) Full Text: DOI
Álvarez-Nodarse, R. Second order difference equations for certain families of ‘discrete’ polynomials. (English) Zbl 0933.42014 J. Comput. Appl. Math. 99, No. 1-2, 37-45 (1998). Reviewer: R.Koekoek (Delft) MSC: 42C05 33C45 PDFBibTeX XMLCite \textit{R. Álvarez-Nodarse}, J. Comput. Appl. Math. 99, No. 1--2, 37--45 (1998; Zbl 0933.42014) Full Text: DOI
Homeier, Herbert H. H. An asymptotically hierarchy-consistent, iterative sequence transformation for convergence acceleration of Fourier series. (English) Zbl 0914.65140 Numer. Algorithms 18, No. 1, 1-30 (1998). Reviewer: A.López-Carmona (Granada) MSC: 65T40 42A20 65B10 65B05 PDFBibTeX XMLCite \textit{H. H. H. Homeier}, Numer. Algorithms 18, No. 1, 1--30 (1998; Zbl 0914.65140) Full Text: DOI
Sorokin, Vladimir N.; Van Iseghem, Jeannette Algebraic aspects of matrix orthogonality for vector polynomials. (English) Zbl 0953.42013 J. Approximation Theory 90, No. 1, 97-116 (1997). MSC: 42C05 PDFBibTeX XMLCite \textit{V. N. Sorokin} and \textit{J. Van Iseghem}, J. Approx. Theory 90, No. 1, 97--116 (1997; Zbl 0953.42013) Full Text: DOI
Brezinski, Claude; Musschoot, C. Biorthogonal polynomials and the bordering method for linear systems. (English) Zbl 0848.65016 Rend. Semin. Mat. Fis. Milano 64(1994), 85-98 (1996). Reviewer: Th.Sonar (Hamburg) MSC: 65F05 65D20 42C05 PDFBibTeX XMLCite \textit{C. Brezinski} and \textit{C. Musschoot}, Rend. Semin. Mat. Fis. Milano 64, 85--98 (1996; Zbl 0848.65016) Full Text: DOI
Draux, André Formal orthogonal polynomials revisited. Applications. (English) Zbl 0852.42016 Numer. Algorithms 11, No. 1-4, 143-158 (1996). Reviewer: M.Voit (Charlottesville) MSC: 42C05 PDFBibTeX XMLCite \textit{A. Draux}, Numer. Algorithms 11, No. 1--4, 143--158 (1996; Zbl 0852.42016) Full Text: DOI
Brezinski, C.; Redivo-Zaglia, M. A look-ahead strategy for the implementation of some old and new extrapolation methods. (English) Zbl 0851.65002 Numer. Algorithms 11, No. 1-4, 35-55 (1996). Reviewer: P.Wynn (Mexico) MSC: 65B05 42C05 PDFBibTeX XMLCite \textit{C. Brezinski} and \textit{M. Redivo-Zaglia}, Numer. Algorithms 11, No. 1--4, 35--55 (1996; Zbl 0851.65002) Full Text: DOI
Brezinski, C.; Maroni, P. The algebra of linear functionals on polynomials, with applications to Padé approximation. (English) Zbl 0862.42016 Numer. Algorithms 11, No. 1-4, 25-33 (1996). Reviewer: L.Gatteschi (Torino) MSC: 42C05 41A21 PDFBibTeX XMLCite \textit{C. Brezinski} and \textit{P. Maroni}, Numer. Algorithms 11, No. 1--4, 25--33 (1996; Zbl 0862.42016) Full Text: DOI
Kaliaguine, V. The operator moment problem, vector continued fractions and an explicit form of the Favard theorem for vector orthogonal polynomials. (English) Zbl 0853.44006 J. Comput. Appl. Math. 65, No. 1-3, 181-193 (1995). Reviewer: Ram Kishore Saxena (Jodhpur) MSC: 44A60 42C05 30B70 PDFBibTeX XMLCite \textit{V. Kaliaguine}, J. Comput. Appl. Math. 65, No. 1--3, 181--193 (1995; Zbl 0853.44006) Full Text: DOI
Bultheel, Adhemar; Van Barel, Marc Formal orthogonal polynomials and Hankel/Toeplitz duality. (English) Zbl 0867.42012 Numer. Algorithms 10, No. 3-4, 289-335 (1995). Reviewer: L.Gatteschi (Torino) MSC: 42C05 PDFBibTeX XMLCite \textit{A. Bultheel} and \textit{M. Van Barel}, Numer. Algorithms 10, No. 3--4, 289--335 (1995; Zbl 0867.42012) Full Text: DOI
Magnus, Alphonse P. Painlevé-type differential equations for the recurrence coefficients of semi-classical orthogonal polynomials. (English) Zbl 0828.42012 J. Comput. Appl. Math. 57, No. 1-2, 215-237 (1995). Reviewer: M.G.de Bruin (Delft) MSC: 42C05 34A34 PDFBibTeX XMLCite \textit{A. P. Magnus}, J. Comput. Appl. Math. 57, No. 1--2, 215--237 (1995; Zbl 0828.42012) Full Text: DOI arXiv
Wimp, J.; Kiesel, H. Nonlinear recurrence relations and induced orthogonal polynomials. (English) Zbl 0801.42016 Comput. Math. Appl. 28, No. 1-3, 325-332 (1994). MSC: 42C05 33C45 PDFBibTeX XMLCite \textit{J. Wimp} and \textit{H. Kiesel}, Comput. Math. Appl. 28, No. 1--3, 325--332 (1994; Zbl 0801.42016) Full Text: DOI
Brezinski, Claude; Matos, Ana C. Least-squares orthogonal polynomials. (English) Zbl 0774.65009 J. Comput. Appl. Math. 46, No. 1-2, 229-239 (1993). Reviewer: D.Braess (Bochum) MSC: 65D20 41A21 33C45 42C05 PDFBibTeX XMLCite \textit{C. Brezinski} and \textit{A. C. Matos}, J. Comput. Appl. Math. 46, No. 1--2, 229--239 (1993; Zbl 0774.65009) Full Text: DOI
Brezinski, Claude A unified approach to various orthogonalities. (English) Zbl 0773.42016 Ann. Fac. Sci. Toulouse, VI. Sér., Math. 1, No. 3, 277-292 (1992). Reviewer: H.Stahl (Berlin) MSC: 42C05 PDFBibTeX XMLCite \textit{C. Brezinski}, Ann. Fac. Sci. Toulouse, Math. (6) 1, No. 3, 277--292 (1992; Zbl 0773.42016) Full Text: DOI Numdam EuDML
Brezinski, Claude Generalizations of the Christoffel-Darboux identity for adjacent families of orthogonal polynomials. (English) Zbl 0767.42006 Appl. Numer. Math. 8, No. 3, 193-199 (1991). Reviewer: M.G.de Bruin (Haarlem) MSC: 42C05 33C45 PDFBibTeX XMLCite \textit{C. Brezinski}, Appl. Numer. Math. 8, No. 3, 193--199 (1991; Zbl 0767.42006) Full Text: DOI
Allaway, Wm. R. Convolution shift, \(c\)-orthogonality preserving maps, and the Laguerre polynomials. (English) Zbl 0741.42014 J. Math. Anal. Appl. 157, No. 1, 284-299 (1991). Reviewer: D.S.Lubinsky (Wits) MSC: 42C05 42C20 33C45 PDFBibTeX XMLCite \textit{Wm. R. Allaway}, J. Math. Anal. Appl. 157, No. 1, 284--299 (1991; Zbl 0741.42014) Full Text: DOI
Prevost, Marc Approximation of weight function and approached Padé approximants. (English) Zbl 0714.41030 J. Comput. Appl. Math. 32, No. 1-2, 237-252 (1990). MSC: 41A21 42C05 PDFBibTeX XMLCite \textit{M. Prevost}, J. Comput. Appl. Math. 32, No. 1--2, 237--252 (1990; Zbl 0714.41030) Full Text: DOI
Draux, André; Maanaoui, Abdallah Vector orthogonal polynomials. (English) Zbl 0711.41002 J. Comput. Appl. Math. 32, No. 1-2, 59-68 (1990). MSC: 41A20 41A21 42C05 PDFBibTeX XMLCite \textit{A. Draux} and \textit{A. Maanaoui}, J. Comput. Appl. Math. 32, No. 1--2, 59--68 (1990; Zbl 0711.41002) Full Text: DOI
Ronveaux, A. Quasi-orthogonality and differential equations. (English) Zbl 0687.33013 J. Comput. Appl. Math. 29, No. 2, 243-247 (1990). Reviewer: D.S.Lubinsky MSC: 33C45 42C05 PDFBibTeX XMLCite \textit{A. Ronveaux}, J. Comput. Appl. Math. 29, No. 2, 243--247 (1990; Zbl 0687.33013) Full Text: DOI
Iserles, Arieh; Nørsett, Syvert P. On the theory of biorthogonal polynomials. (English) Zbl 0662.42017 Trans. Am. Math. Soc. 306, No. 2, 455-474 (1988). Reviewer: K.Tandori MSC: 42C05 26C05 33C60 PDFBibTeX XMLCite \textit{A. Iserles} and \textit{S. P. Nørsett}, Trans. Am. Math. Soc. 306, No. 2, 455--474 (1988; Zbl 0662.42017) Full Text: DOI
Peherstorfer, Franz Orthogonal polynomials in \(L^ 1\)-approximation. (English) Zbl 0642.42023 J. Approximation Theory 52, No. 3, 241-268 (1988). Reviewer: W.Van Assche MSC: 42C05 41A10 PDFBibTeX XMLCite \textit{F. Peherstorfer}, J. Approx. Theory 52, No. 3, 241--268 (1988; Zbl 0642.42023) Full Text: DOI
Draux, André On the non-normal Padé table in a non-commutative algebra. (English) Zbl 0633.41014 J. Comput. Appl. Math. 21, No. 3, 271-288 (1988). MSC: 41A21 42C05 PDFBibTeX XMLCite \textit{A. Draux}, J. Comput. Appl. Math. 21, No. 3, 271--288 (1988; Zbl 0633.41014) Full Text: DOI
Njåstad, Olav Unique solvability of an extended Hamburger moment problem. (English) Zbl 0654.42024 J. Math. Anal. Appl. 124, 502-519 (1987). MSC: 42C05 PDFBibTeX XMLCite \textit{O. Njåstad}, J. Math. Anal. Appl. 124, 502--519 (1987; Zbl 0654.42024) Full Text: DOI
Njåstad, Olav An extended Hamburger moment problem. (English) Zbl 0557.30032 Proc. Edinb. Math. Soc., II. Ser. 28, 167-183 (1985). MSC: 30E05 42C05 33C45 PDFBibTeX XMLCite \textit{O. Njåstad}, Proc. Edinb. Math. Soc., II. Ser. 28, 167--183 (1985; Zbl 0557.30032) Full Text: DOI
Shisha, O. Characterization of smoothness properties of functions by means of their degree of approximation by splines. (English) Zbl 0315.41013 J. Approximation Theory 12, 365-371 (1974). MSC: 41A15 41A25 42A10 PDFBibTeX XMLCite \textit{O. Shisha}, J. Approx. Theory 12, 365--371 (1974; Zbl 0315.41013) Full Text: DOI
Kress, Rainer On general Hermite trigonometric interpolation. (English) Zbl 0231.65009 Numer. Math. 20, 125-138 (1972). MSC: 65D05 42A15 41A05 PDFBibTeX XMLCite \textit{R. Kress}, Numer. Math. 20, 125--138 (1972; Zbl 0231.65009) Full Text: DOI EuDML