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.
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页数：9
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