Pointwise Convergence of Cone-like Restricted Two-dimensional Fejér Means of Walsh-Fourier Series

被引：1

作者：

Gyrgy GT ^{[1
]}

Kroly NAGY ^{[1
]}

机构：

[1] Institute of Mathematics and Computer Sciences, College of Nyíregyhza

来源：

ActaMathematicaSinica(EnglishSeries) | 2010年 / 26卷 / 12期

关键词：

Walsh group; Walsh system; pointwise convergence; Fejer means;

D O I：

暂无

中图分类号：

O174.21 [正交级数（傅里叶级数）];

学科分类号：

070104 ;

摘要：

For the two-dimensional Walsh system,Gat and Weisz proved the a.e.convergence of Fejermeans σf of integrable functions,where the set of indices is inside a positive cone around the identicalfunction,that is,β≤n/n≤βis provided with some fixed parameter β≥1.In this paper wegeneralize the result of Gat and Weisz.We not only generalize this theorem,but give a necessary andsufficient condition for cone-like sets in order to preserve this convergence property.

引用

页码：2295 / 2304

页数：10

共 4 条

[1] On the Divergence of N(?)rlund Logarithmic Means of Walsh-Fourier Series
Gyrgy GAT
Ushangi GOGINAVA
[J]. Acta Mathematica Sinica(English Series), 2009, 25 (06) : 903 - 916
[2] Pointwise convergence of cone-like restricted two-dimensional ( C , 1 ) means of trigonometric Fourier series[J] . Journal of Approximation Theory . 2007 (1)
[3] Uniform and L –convergence of Logarithmic Means of Walsh–Fourier Series[J] . G. Gát,U. Goginava.Acta Mathematica Sinica, English Series . 2006 (2)
[4] Cesàro Summability of Two-dimensional Walsh-Fourier Series[J] . Ferenc Weisz.tran . 1996 (6)

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