On the Approximative Properties of Fourier Series in Laguerre–Sobolev Polynomials
-
Published:2024-01
Issue:1
Volume:65
Page:30-43
-
ISSN:0037-4466
-
Container-title:Siberian Mathematical Journal
-
language:en
-
Short-container-title:Sib Math J
Author:
Gadzhimirzaev R. M.
Publisher
Pleiades Publishing Ltd
Reference13 articles.
1. Sharapudinov I.I., Gadzhieva Z.D., and Gadzhimirzaev R.M., “Systems of functions orthogonal with respect to scalar products of Sobolev type
with discrete masses generated by classical orthogonal systems,” Dagestan Electr. Math. Reports, vol. 6, 31–60 (2016).
2. Sharapudinov I.I. and Magomed-Kasumov M.G., “On representation of a solution to the Cauchy problem by a Fourier Series in Sobolev-orthogonal polynomials generated by Laguerre polynomials,” Differ. Equ., vol. 54, no. 1, 49–66 (2018).
3. Gadzhimirzaev R.M., “On the uniform convergence of the Fourier series by the system
of polynomials generated by the system of Laguerre polynomials,” Izv. Saratov Univ. Math. Mech. Inform., vol. 20, no. 4, 416–423 (2020).
4. Xu Y., “Approximation by polynomials in Sobolev spaces with Jacobi weight,” J. Fourier Anal. Appl., vol. 24, no. 6, 1438–1459 (2018).
5. Xu Y., Wang Z., and Li H., “Jacobi–Sobolev orthogonal polynomials and spectral methods for elliptic boundary value problems,” Commun. Appl. Math. Comput., vol. 1, no. 2, 283–308 (2019).