Approximation Properties of the Vallée-Poussin Means Similar to the Partial Sums of Fourier Series in Laguerre–Sobolev Polynomials
-
Published:2022-05
Issue:3
Volume:63
Page:451-465
-
ISSN:0037-4466
-
Container-title:Siberian Mathematical Journal
-
language:en
-
Short-container-title:Sib Math J
Author:
Gadzhimirzaev R. M.
Publisher
Pleiades Publishing Ltd
Subject
General Mathematics
Reference10 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 the representation of the solution of the Cauchy problem by the Fourier series in the polynomials orthogonal by Sobolev
and generated by Laguerre polynomials,” Differ. Equ., vol. 54, no. 1, 51–68 (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. Sharapudinov I. I., “Approximation properties of the Vallée–Poussin means of partial sums of a mixed series of Legendre polynomials,” Math. Notes, vol. 84, no. 3, 417–434 (2008).
5. Sharapudinov I. I. and Magomed-Kasumov M. G., “On Vallée–Poussin means for special series with respect to ultraspherical Jacobi polynomials with sticking partial sums,” Russian Math. (Iz. VUZ), vol. 62, no. 9, 60–71 (2018).