Summability of multiple Fourier series of functions of bounded generalized variation

被引：0

作者：

U. Goginava

A. Sahakian

机构：

[1] I. Javakhishvili Tbilisi State University,I. Vekua Institute of Applied Mathematics

[2] Yerevan State University,Faculty of Mathematics and Mechanics

来源：

Proceedings of the Steklov Institute of Mathematics | 2013年 / 280卷

关键词：

Fourier Series; STEKLOV Institute; Regular Point; Partial Variation; Double Fourier Series;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

The paper is devoted to summability problems for multiple Fourier series of functions of bounded generalized variation. We find necessary and sufficient conditions on a sequence Λ = {λn} that guarantee the convergence of the Cesàro means of multiple Fourier series of functions of bounded Λ-variation.

引用

页码：144 / 155

页数：11

共 50 条

[1] Summability of Multiple Fourier Series of Functions of Bounded Generalized Variation
Goginava, U.
Sahakian, A.
[J]. PROCEEDINGS OF THE STEKLOV INSTITUTE OF MATHEMATICS, 2013, 280 (01) : 144 - 155
[2] On the summability of double Walsh–fourier series of functions of bounded generalized variation
U. Goginava
[J]. Ukrainian Mathematical Journal, 2012, 64 : 555 - 574
[3] 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
[4] Convergence of Multiple Fourier Series of Functions of Bounded Generalized Variation
Goginava, U.
Sahakian, A.
[J]. UKRAINIAN MATHEMATICAL JOURNAL, 2015, 67 (02) : 186 - 198
[5] Convergence of Multiple Fourier Series of Functions of Bounded Generalized Variation
U. Goginava
A. Sahakian
[J]. Ukrainian Mathematical Journal, 2015, 67 : 186 - 198
[6] 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
[7] On the convergence and summability of double Walsh-Fourier series of functions of bounded generalized variation
Goginava, U.
Sahakian, A.
[J]. JOURNAL OF CONTEMPORARY MATHEMATICAL ANALYSIS-ARMENIAN ACADEMY OF SCIENCES, 2014, 49 (06): : 321 - 333
[8] On the convergence of multiple Fourier series of functions of bounded partial generalized variationО сходимости кратных рядов Фурье функций ограниченной частной обобщённой вариации
Ushangi Goginava
Artur Sahakian
[J]. Analysis Mathematica, 2013, 39 : 45 - 56
[9] On the convergence of multiple Fourier series of functions of bounded partial generalized variation
Goginava, Ushangi
Sahakian, Artur
[J]. ANALYSIS MATHEMATICA, 2013, 39 (01) : 45 - 56
[10] SPHERICAL SUMMABILITY OF FOURIER SERIES OF BOUNDED VARIATION FUNCTIONS IN SEVERAL VARIABLES
陆善镇
[J]. Science Bulletin, 1981, (09) : 774 - 778

← 1 2 3 4 5 →