García-Ardila, Juan C.; Marriaga, Misael E. Approximation by polynomials in Sobolev spaces associated with classical moment functionals. (English) Zbl 07785649 Numer. Algorithms 95, No. 1, 285-318 (2024). MSC: 41A10 41A25 42C05 42C10 33C45 PDFBibTeX XMLCite \textit{J. C. García-Ardila} and \textit{M. E. Marriaga}, Numer. Algorithms 95, No. 1, 285--318 (2024; Zbl 07785649) Full Text: DOI OA License
Marriaga, Misael E.; Pérez, Teresa E.; Recarte, Marlon J. Simultaneous approximation via Laplacians on the unit ball. (English) Zbl 07792658 Mediterr. J. Math. 20, No. 6, Paper No. 316, 22 p. (2023). MSC: 46E35 42C05 PDFBibTeX XMLCite \textit{M. E. Marriaga} et al., Mediterr. J. Math. 20, No. 6, Paper No. 316, 22 p. (2023; Zbl 07792658) Full Text: DOI OA License
Marriaga, Misael E.; Pérez, Teresa E.; Piñar, Miguel A.; Recarte, Marlon J. Approximation via gradients on the ball. The Zernike case. (English) Zbl 1526.42040 J. Comput. Appl. Math. 430, Article ID 115258, 23 p. (2023). Reviewer: Alexei Lukashov (Moskva) MSC: 42C05 42A20 33C50 42A10 41A30 46E35 PDFBibTeX XMLCite \textit{M. E. Marriaga} et al., J. Comput. Appl. Math. 430, Article ID 115258, 23 p. (2023; Zbl 1526.42040) Full Text: DOI
García-Ardila, Juan C.; Marriaga, Misael E. Sobolev orthogonality of polynomial solutions of second-order partial differential equations. (English) Zbl 1524.42051 Comput. Appl. Math. 42, No. 1, Paper No. 13, 44 p. (2023). MSC: 42C05 33C50 PDFBibTeX XMLCite \textit{J. C. García-Ardila} and \textit{M. E. Marriaga}, Comput. Appl. Math. 42, No. 1, Paper No. 13, 44 p. (2023; Zbl 1524.42051) Full Text: DOI
Marriaga, Misael E. On Sobolev orthogonal polynomials on a triangle. (English) Zbl 1527.33008 Proc. Am. Math. Soc. 151, No. 2, 679-691 (2023). MSC: 33C50 33D50 33D45 33C45 PDFBibTeX XMLCite \textit{M. E. Marriaga}, Proc. Am. Math. Soc. 151, No. 2, 679--691 (2023; Zbl 1527.33008) Full Text: DOI
García-Ardila, J. C.; Marriaga, M. E. On Sobolev bilinear forms and polynomial solutions of second-order differential equations. (English) Zbl 1482.42067 Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 115, No. 4, Paper No. 191, 31 p. (2021). Reviewer: Teresa A. Mesquita (Vila Nova de Famalicão) MSC: 42C05 33C45 PDFBibTeX XMLCite \textit{J. C. García-Ardila} and \textit{M. E. Marriaga}, Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 115, No. 4, Paper No. 191, 31 p. (2021; Zbl 1482.42067) Full Text: DOI
Marriaga, Misael E.; Pérez, Teresa E.; Piñar, Miguel A. Bivariate Koornwinder-Sobolev orthogonal polynomials. (English) Zbl 1482.42068 Mediterr. J. Math. 18, No. 6, Paper No. 234, 36 p. (2021). Reviewer: Lotfi Khériji (Tunis) MSC: 42C05 33C50 PDFBibTeX XMLCite \textit{M. E. Marriaga} et al., Mediterr. J. Math. 18, No. 6, Paper No. 234, 36 p. (2021; Zbl 1482.42068) Full Text: DOI
García-Ardila, Juan C.; Marcellán, Francisco; Marriaga, Misael E. From standard orthogonal polynomials to Sobolev orthogonal polynomials: the role of semiclassical linear functionals. (English) Zbl 1443.33013 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., 245-292 (2020). MSC: 33C45 42C05 PDFBibTeX XMLCite \textit{J. C. García-Ardila} et al., 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. 245--292 (2020; Zbl 1443.33013) Full Text: DOI
Marcellán, Francisco; Marriaga, Misael E.; Pérez, Teresa E.; Piñar, Miguel A. Geronimus transformations of bivariate linear functionals. (English) Zbl 1475.42042 J. Math. Anal. Appl. 484, No. 2, Article ID 123736, 30 p. (2020). MSC: 42C05 15A23 PDFBibTeX XMLCite \textit{F. Marcellán} et al., J. Math. Anal. Appl. 484, No. 2, Article ID 123736, 30 p. (2020; Zbl 1475.42042) Full Text: DOI
Marcellán, Francisco; Marriaga, Misael E.; Pérez, Teresa E.; Piñar, Miguel A. Coherent pairs of bivariate orthogonal polynomials. (English) Zbl 1423.33020 J. Approx. Theory 245, 40-63 (2019). MSC: 33C50 42C05 PDFBibTeX XMLCite \textit{F. Marcellán} et al., J. Approx. Theory 245, 40--63 (2019; Zbl 1423.33020) Full Text: DOI Link
Marcellán, Francisco; Marriaga, Misael; Pérez, Teresa E.; Piñar, Miguel A. On bivariate classical orthogonal polynomials. (English) Zbl 1428.33025 Appl. Math. Comput. 325, 340-357 (2018). MSC: 33C50 42C05 33C45 PDFBibTeX XMLCite \textit{F. Marcellán} et al., Appl. Math. Comput. 325, 340--357 (2018; Zbl 1428.33025) Full Text: DOI
Marcellán, Francisco; Marriaga, Misael; Pérez, Teresa E.; Piñar, Miguel A. Matrix Pearson equations satisfied by Koornwinder weights in two variables. (English) Zbl 1403.42031 Acta Appl. Math. 153, No. 1, 81-100 (2018). Reviewer: Manuel D. de la Iglesia (México D. F.) MSC: 42C05 33C50 PDFBibTeX XMLCite \textit{F. Marcellán} et al., Acta Appl. Math. 153, No. 1, 81--100 (2018; Zbl 1403.42031) Full Text: DOI arXiv
Marriaga, Misael; Pérez, Teresa E.; Piñar, Miguel A. Three term relations for a class of bivariate orthogonal polynomials. (English) Zbl 1367.33014 Mediterr. J. Math. 14, No. 2, Paper No. 54, 26 p. (2017). MSC: 33C50 42C05 PDFBibTeX XMLCite \textit{M. Marriaga} et al., Mediterr. J. Math. 14, No. 2, Paper No. 54, 26 p. (2017; Zbl 1367.33014) Full Text: DOI arXiv