The Nature of Convergence of the Fourier Series for Functions of Bounded Variation

被引：1

作者：

Telyakovskii, S. A. ^{[1
]}

机构：

[1] Moscow MV Lomonosov State Univ, Leninskie Gory 1,GSP-1, Moscow 119991, Russia

来源：

RUSSIAN MATHEMATICS | 2010年 / 54卷 / 03期

基金：

俄罗斯基础研究基金会;

关键词：

Fourier series; functions of bounded variation; absolute convergence;

D O I：

10.3103/S1066369X10030072

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study increasing sequences of positive integers that divide the Fourier series of functions of bounded variation into blocks of absolutely convergent series. We obtain a new version of the stability theorem for such sequences.

引用

页码：42 / 44

页数：3