On the convergence of multiple Walsh-Fourier series of functions of bounded generalized variation

被引：3

作者：

Goginava, U. ^{[1
]}

Sahakian, A. ^{[2
]}

机构：

[1] Tbilisi State Univ, Inst Math, Tbilisi, Georgia

[2] Yerevan State Univ, Yerevan, Armenia

来源：

JOURNAL OF CONTEMPORARY MATHEMATICAL ANALYSIS-ARMENIAN ACADEMY OF SCIENCES | 2012年 / 47卷 / 05期

关键词：

Walsh-Fourier series; generalized variation; Lambda-variation; UNIFORM-CONVERGENCE; CONTINUITY;

D O I：

10.3103/S1068362312050020

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The convergence of multiple Walsh-Fourier series of functions of bounded generalized variation is investigated. The sufficient and necessary conditions on the sequence lambda = {lambda (n) } are found for the convergence of multiple Walsh-Fourier series of functions of bounded partial lambda-variation.

引用

页码：221 / 233

页数：13

共 24 条

[1] Continuity in Λ-variation of functions of several variables and convergence of multiple Fourier series [J].