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

被引：10

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

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