On convergence of negative order Cesaro means of the Fourier-Walsh series in L p (p > 1) metrics

被引：4

作者：

Galoyan, L. N. ^{[1
]}

机构：

[1] Russian Armenian Slavon Univ, Yerevan, Armenia

来源：

JOURNAL OF CONTEMPORARY MATHEMATICAL ANALYSIS-ARMENIAN ACADEMY OF SCIENCES | 2012年 / 47卷 / 03期

关键词：

Negative order Cesaro means; unbounded divergence; slowly oscillating function; regular method of summation;

D O I：

10.3103/S1068362312030041

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The paper investigates the convergence of the negative order Cesaro means of the Fourier series in Walsh system with monotone coefficients. It is given a description of the classes of the mentioned type series, the Cesaro means of which over all subsequences unbounded diverge on the sets of positive measure.

引用

页码：134 / 147

页数：14

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On convergence of negative order Cesaro means of the Fourier-Walsh series in L p (p &gt; 1) metrics

On convergence of negative order Cesaro means of the Fourier-Walsh series in L p (p > 1) metrics