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

被引：3

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 30 条

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

Bakhvalov, AN .

SBORNIK MATHEMATICS, 2002, 193 (11-12) :1731-1748

[2]

Camille J., 1881, Camptesrendushebdomadaires Sances Lacademie Des Sci, V92, P228, DOI [10.2307/2316319 (French, DOI 10.2307/2316319(FRENCH]

[3]

Chanturiya Z.A., 1974, Sov. Math. Dokl., V15, P67

[4] Two-dimensional Waterman classes and u-convergence of Fourier series [J].

D'yachenko, MI .

SBORNIK MATHEMATICS, 1999, 190 (7-8) :955-972

[5]

Dyachenko M.I., 1995, Anal. Math, V21, P3

[6] Convergence of double Fourier series and W-classes [J].

Dyachenko, MI ;

Waterman, D .

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2005, 357 (01) :397-407

[7] Negative order CesA ro means of double Fourier series and bounded generalized variation [J].

Goginava, U. .

SIBERIAN MATHEMATICAL JOURNAL, 2013, 54 (06) :1005-1012

[8] On the summability of double Walsh-fourier series of functions of bounded generalized variation [J].

Goginava, U. .

UKRAINIAN MATHEMATICAL JOURNAL, 2012, 64 (04) :555-574

[9] On the convergence of multiple Walsh-Fourier series of functions of bounded generalized variation [J].

Goginava, U. ;

Sahakian, A. .

JOURNAL OF CONTEMPORARY MATHEMATICAL ANALYSIS-ARMENIAN ACADEMY OF SCIENCES, 2012, 47 (05) :221-233

[10] On the uniform convergence of Walsh-Fourier series [J].

Goginava, U .

ACTA MATHEMATICA HUNGARICA, 2001, 93 (1-2) :59-70

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