Mixed Series of Jacobi and Chebyshev Polynomials and Their Discretization

被引：8

作者：

Sharapudinov, I. I. ^{[1
]}

Sharapudinov, T. I. ^{[2
]}

机构：

[1] Russian Acad Sci, Daghestan Sci Ctr, Moscow 117901, Russia

[2] Russian Acad Sci, Vladikavkaz Sci Ctr, Vladikavkaz 117901, Russia

来源：

MATHEMATICAL NOTES | 2010年 / 88卷 / 1-2期

基金：

俄罗斯基础研究基金会;

关键词：

Jacobi polynomial; Chebyshev polynomial; Fourier-Jacobi series; weighted Sobolev space; analytic function; Lebesgue inequality; ultraspherical polynomial; APPROXIMATION PROPERTIES;

D O I：

10.1134/S0001434610070114

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper is devoted to the study of approximation properties of mixed series of Jacobi polynomials on weighted Sobolev spaces and of discretized mixed series of Chebyshev polynomials of the first kind from classes of analytic functions.

引用

页码：112 / 139

页数：28

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