On the uniform convergence of trigonometric series

被引：16

作者：

Tikhonov, S. Yu. ^{[1
]}

机构：

[1] Moscow MV Lomonosov State Univ, Moscow, Russia

来源：

MATHEMATICAL NOTES | 2007年 / 81卷 / 1-2期

基金：

俄罗斯基础研究基金会;

关键词：

trigonometric series; uniform convergence; monotone (in the extended sense) sequence; lacunary sequence; quasimonotone sequence; Abel transformation;

D O I：

10.1134/S0001434607010294

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we obtain sufficient conditions for the uniform convergence of trigonometric series with monotone (in the extended sense) coefficients.

引用

页码：268 / 274

页数：7

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