Spherical partial sums of the double Fourier series of functions of bounded generalized variation

被引：2

作者：

Dyachenko, MI

机构：

来源：

SBORNIK MATHEMATICS | 1997年 / 188卷 / 1-2期

关键词：

D O I：

10.1070/SM1997v188n01ABEH000186

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The spherical partial sums of the double Fourier series of functions in the Waterman classes are studied. The main result of the paper is as follows. [GRAPHICS] Problems of circular convergence of the Fourier series of the characteristic functions of plane convex sets are also considered.

引用

页码：29 / 60

页数：32

共 50 条

[21] Convergence rate estimates for “spherical” partial sums of double Fourier series
V. A. Abilov
M. V. Abilov
M. K. Kerimov
[J]. Computational Mathematics and Mathematical Physics, 2013, 53 : 1062 - 1069
[22] Convergence of Multiple Fourier Series of Functions of Bounded Generalized Variation
Goginava, U.
Sahakian, A.
[J]. UKRAINIAN MATHEMATICAL JOURNAL, 2015, 67 (02) : 186 - 198
[23] Convergence of Multiple Fourier Series of Functions of Bounded Generalized Variation
U. Goginava
A. Sahakian
[J]. Ukrainian Mathematical Journal, 2015, 67 : 186 - 198
[24] Summability of multiple Fourier series of functions of bounded generalized variation
U. Goginava
A. Sahakian
[J]. Proceedings of the Steklov Institute of Mathematics, 2013, 280 : 144 - 155
[25] 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
[26] CONVERGENCE OF FOURIER-SERIES OF FUNCTIONS OF GENERALIZED BOUNDED VARIATION
WATERMAN, D
[J]. STUDIA MATHEMATICA, 1972, 44 (02) : 107 - &
[27] Pointwise behavior of double Fourier series of functions of bounded variation
Móricz, F
[J]. MONATSHEFTE FUR MATHEMATIK, 2006, 148 (01): : 51 - 59
[28] Pointwise Behavior of Double Fourier Series of Functions of Bounded Variation
Ferenc Móricz
[J]. Monatshefte für Mathematik, 2006, 148 : 51 - 59
[29] SPHERICAL SUMMABILITY OF FOURIER SERIES OF BOUNDED VARIATION FUNCTIONS IN SEVERAL VARIABLES
陆善镇
[J]. Science Bulletin, 1981, (09) : 774 - 778
[30] Uniform summability of double Walsh-Fourier series of functions of bounded partial I⟩-variation
Goginava, Ushangi
[J]. MATHEMATICA SLOVACA, 2014, 64 (06) : 1451 - 1474

← 1 2 3 4 5 →