On linear summability methods of fourier series in polynomials orthogonal in a discrete Sobolev space

被引：8

作者：

Osilenker, B. P. ^{[1
]}

机构：

[1] Moscow State Univ Civil Engn, Moscow, Russia

来源：

SIBERIAN MATHEMATICAL JOURNAL | 2015年 / 56卷 / 02期

关键词：

discrete Sobolev space; orthogonal polynomial; Fourier series; linear summation method; Cesaro method; symmetric Gegenbauer-Sobolev polynomials; ASYMPTOTICS;

D O I：

10.1134/S0037446615020135

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Under study are the discrete Sobolev spaces with the inner product Some results are presented on linear summation methods for Fourier series in orthonormal polynomials of discrete Sobolev spaces.

引用

页码：339 / 351

页数：13

共 50 条

[1] On linear summability methods of fourier series in polynomials orthogonal in a discrete Sobolev space
B. P. Osilenker
Siberian Mathematical Journal, 2015, 56 : 339 - 351
[2] On multipliers for Fourier series in Sobolev orthogonal polynomials
Osilenker, Boris P.
SBORNIK MATHEMATICS, 2022, 213 (08) : 1058 - 1095
[3] Relative asymptotics and Fourier series of orthogonal polynomials with a discrete Sobolev inner product
Rocha, IA
Marcellán, F
Salto, L
JOURNAL OF APPROXIMATION THEORY, 2003, 121 (02) : 336 - 356
[4] On Fourier series of Jacobi-Sobolev orthogonal polynomials
Marcellán, F
Osilenker, BP
Rocha, IA
JOURNAL OF INEQUALITIES AND APPLICATIONS, 2002, 7 (05) : 673 - 699
[5] Sobolev Orthogonal Systems with Two Discrete Points and Fourier Series
Magomed-Kasumov, M. G.
RUSSIAN MATHEMATICS, 2021, 65 (12) : 47 - 55
[6] The Uniform Convergence of Fourier Series in a System of Polynomials Orthogonal in the Sense of Sobolev and Associated to Jacobi Polynomials
Magomed-Kasumov, M. G.
SIBERIAN MATHEMATICAL JOURNAL, 2023, 64 (02) : 338 - 346
[7] The Uniform Convergence of Fourier Series in a System of the Sobolev Orthogonal Polynomials Associated to Ultraspherical Jacobi Polynomials
Magomed-Kasumov, M. G.
SIBERIAN MATHEMATICAL JOURNAL, 2024, 65 (06) : 1343 - 1358
[8] Sobolev Orthogonal Systems with Two Discrete Points and Fourier Series
M. G. Magomed-Kasumov
Russian Mathematics, 2021, 65 : 47 - 55
[9] The Uniform Convergence of Fourier Series in a System of Polynomials Orthogonal in the Sense of Sobolev and Associated to Jacobi Polynomials
M. G. Magomed-Kasumov
Siberian Mathematical Journal, 2023, 64 : 338 - 346
[10] Fourier series of orthogonal polynomials
Greene, Nataniel
RECENT ADVANCES ON APPLIED MATHEMATICS: PROCEEDINGS OF THE AMERICAN CONFERENCE ON APPLIED MATHEMATICS (MATH '08), 2008, : 247 - +

← 1 2 3 4 5 →