Localization of Cesaro Means of Fourier Series for Functions of Bounded Lambda-Variation

被引：0

作者：

Bakhvalov, A. N. ^{[1
]}

机构：

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

来源：

RUSSIAN MATHEMATICS | 2011年 / 55卷 / 08期

基金：

俄罗斯基础研究基金会;

关键词：

Cesaro means; generalized variation;

D O I：

10.3103/S1066369X11080020

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider classes of periodic functions of bounded Lambda-variation, where Lambda has a power growth rate. We show that this class contains a continuous function whose Cesaro means of the Fourier series (whose order depends on the growth rate of Lambda) have no localization property.

引用

页码：7 / 10

页数：4

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