On the convergence and summability of double Walsh-Fourier series of functions of bounded generalized variation

被引：1

作者：

Goginava, U. ^{[1
]}

Sahakian, A. ^{[2
]}

机构：

[1] Ivane Javakhishvili Tbilisi State Univ, Tbilisi, Georgia

[2] Yerevan State Univ, Yerevan, Armenia

来源：

JOURNAL OF CONTEMPORARY MATHEMATICAL ANALYSIS-ARMENIAN ACADEMY OF SCIENCES | 2014年 / 49卷 / 06期

基金：

美国国家科学基金会;

关键词：

Walsh function; bounded variation; Cesaro means; NEGATIVE ORDER; UNIFORM-CONVERGENCE; CESARO MEANS;

D O I：

10.3103/S1068362314060089

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The convergence of partial sums and Cesaro means of negative order of double Walsh-Fourier series of functions of bounded generalized variation is investigated.

引用

页码：321 / 333

页数：13

共 50 条

[1] On the convergence and summability of double Walsh-Fourier series of functions of bounded generalized variation
U. Goginava
A. Sahakian
[J]. Journal of Contemporary Mathematical Analysis, 2014, 49 : 321 - 333
[2] On the summability of double Walsh-fourier series of functions of bounded generalized variation
Goginava, U.
[J]. UKRAINIAN MATHEMATICAL JOURNAL, 2012, 64 (04) : 555 - 574
[3] On the convergence of multiple Walsh-Fourier series of functions of bounded generalized variation
Goginava, U.
Sahakian, A.
[J]. JOURNAL OF CONTEMPORARY MATHEMATICAL ANALYSIS-ARMENIAN ACADEMY OF SCIENCES, 2012, 47 (05): : 221 - 233
[4] On the convergence of multiple Walsh-Fourier series of functions of bounded generalized variation
U. Goginava
A. Sahakian
[J]. Journal of Contemporary Mathematical Analysis, 2012, 47 : 221 - 233
[5] On the summability of double Walsh–fourier series of functions of bounded generalized variation
U. Goginava
[J]. Ukrainian Mathematical Journal, 2012, 64 : 555 - 574
[6] Uniform summability of double Walsh-Fourier series of functions of bounded partial I⟩-variation
Goginava, Ushangi
[J]. MATHEMATICA SLOVACA, 2014, 64 (06) : 1451 - 1474
[7] RATE OF CONVERGENCE FOR DOUBLE WALSH-FOURIER SERIES OF FUNCTIONS OF BOUNDED FLUCTUATION
MORICZ, F
[J]. ARCHIV DER MATHEMATIK, 1993, 60 (03) : 256 - 265
[8] Walsh-Fourier series with coefficients of generalized bounded variation
Rhoades, B. E.
[J]. ACTA SCIENTIARUM MATHEMATICARUM, 2008, 74 (3-4): : 609 - 614
[9] WALSH-FOURIER SERIES WITH COEFFICIENTS OF GENERALIZED BOUNDED VARIATION
MORICZ, F
[J]. JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY SERIES A-PURE MATHEMATICS AND STATISTICS, 1989, 47 : 458 - 465
[10] CESARO SUMMABILITY OF DOUBLE WALSH-FOURIER SERIES
MORICZ, F
SCHIPP, F
WADE, WR
[J]. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1992, 329 (01) : 131 - 140

← 1 2 3 4 5 →