On Divergence of Fourier Series by Some Methods of Summability

被引：10

作者：

Tetunashvili, Shakro ^{[1
,2
]}

机构：

[1] A Razmadze Math Inst, Dept Math Anal, GE-0193 Tbilisi, Georgia

[2] Georgian Tech Univ, Dept Math, GE-0175 Tbilisi, Georgia

来源：

JOURNAL OF FUNCTION SPACES AND APPLICATIONS | 2012年

关键词：

D O I：

10.1155/2012/542607

中图分类号：

学科分类号：

摘要：

A new summability method of series is introduced and studied. The particular cases of this method are, for example, variable-order Cesaro and Riesz methods. Applications to divergence problem of Fourier series are given. An extension of Kolmogorov, Schipp, and Bockarev's well-known theorems on divergence of Fourier trigonometric, Walsh, and orthonormal series is established.

引用

页数：9