A relaxed estimate of the degree of approximation by Fourier series in generalized Holder metric

被引：26

作者：

Leindler, L. ^{[1
]}

机构：

[1] Univ Szeged, Bolyai Inst, H-6720 Szeged, Hungary

来源：

ANALYSIS MATHEMATICA | 2009年 / 35卷 / 01期

关键词：

L-P-NORM; TRIGONOMETRIC APPROXIMATION;

D O I：

10.1007/s10476-009-0104-6

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The aim of the paper is to give a relaxed estimate pertaining to the degree of approximation of the partial sums of Fourier series in a new Banach space of functions introduced by Das, Nath and Ray [2]. Furthermore, applying our new result, we verify, under certain natural conditions, that some classical means have the same approximation degree as the partial sums.

引用

页码：51 / 60

页数：10

共 7 条

[1]

[Anonymous], 1910, B SOC MATH FR, DOI DOI 10.24033/BSMF.859

[2] Trigonometric approximation of functions in Lp-norm [J].