Convergence of Multiple Fourier Series of Functions of Bounded Generalized Variation

被引：0

作者：

Goginava, U. ^{[1
]}

Sahakian, A. ^{[2
]}

机构：

[1] Javakhishvili Tbilisi State Univ, Tbilisi, Georgia

[2] Erevan State Univ, Yerevan, Armenia

来源：

UKRAINIAN MATHEMATICAL JOURNAL | 2015年 / 67卷 / 02期

基金：

美国国家科学基金会;

关键词：

Fourier Series; Double Fourier Series; Trigonometric Fourier Series; Harmonic Variation; Multiple Fourier Series;

D O I：

10.1007/s11253-015-1073-5

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The paper introduces a new concept of I >-variation of multivariable functions and studies its relationship with the convergence of multidimensional Fourier series.

引用

页码：186 / 198

页数：13

共 18 条

[1]

[Anonymous], MAT SB

[2]

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

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

D'yachenko, MI .

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

[4]

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

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

Dyachenko, MI ;

Waterman, D .

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

[6] Uniform convergence of Cesaro means of negative order of double Walsh-Fourier series [J].

Goginava, U .

JOURNAL OF APPROXIMATION THEORY, 2003, 124 (01) :96-108

[7]

Goginava U., 2010, E J APPROX, V16, P109

[8]

Goginava U, 1999, E J APPROX, V5, P253

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

Goginava, Ushangi ;

Sahakian, Artur .

ANALYSIS MATHEMATICA, 2013, 39 (01) :45-56

[10]

Hardy G H., 1906, Quart. J. Math, V37, P53

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