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
收藏
页码：134 / 147
页数：14
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