On the convergence of multiple Fourier series of functions of bounded partial generalized variation

被引：3

作者：

Goginava, Ushangi ^{[1
]}

Sahakian, Artur ^{[2
]}

机构：

[1] Iv Javakhishvili Tbilisi State Univ, Dept Math, Fac Exact & Nat Sci, GE-0128 Tbilisi, Georgia

[2] Yerevan State Univ, Fac Math & Mech, Yerevan 0025, Armenia

来源：

ANALYSIS MATHEMATICA | 2013年 / 39卷 / 01期

关键词：

CONTINUITY;

D O I：

10.1007/s10476-013-0103-5

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The convergence of multiple Fourier series of functions of bounded partial I >-variation is investigated. The sufficient and necessary conditions on the sequence I > = {lambda (n) } are found for the convergence of multiple Fourier series of functions of bounded partial I >-variation.

引用

页码：45 / 56

页数：12

共 50 条

[31] On the Convergence of Block Fourier Series of Functions of Bounded Variation in Two Variables
S. A. Telyakovskii
[J]. Mathematical Notes, 2018, 103 : 645 - 648
[32] On the rate of convergence of Fourier series of functions of bounded variation in two variables
Jenei, A.
[J]. ANALYSIS MATHEMATICA, 2009, 35 (02) : 99 - 118
[33] CRITERIA FOR ABSOLUTE CONVERGENCE OF FOURIER-SERIES OF FUNCTIONS OF BOUNDED VARIATION
WIK, I
[J]. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1972, 163 (NJAN) : 1 - &
[34] ON THE RATE OF CONVERGENCE OF FOURIER-LEGENDRE SERIES OF FUNCTIONS OF BOUNDED VARIATION
BOJANIC, R
VUILLEUMIER, M
[J]. JOURNAL OF APPROXIMATION THEORY, 1981, 31 (01) : 67 - 79
[35] О скорсти сходимости рядов фурье двумерных функций ограниченной вариацииOn the rate of convergence of Fourier series of functions of bounded variation in two variables
А. Йенеи
[J]. Analysis Mathematica, 2009, 35 : 99 - 118
[36] On the Convergence of Block Fourier Series of Functions of Bounded Variation in Two Variables
Telyakovskii, S. A.
[J]. MATHEMATICAL NOTES, 2018, 103 (3-4) : 645 - 648
[37] Localization for multiple Fourier series of functions of bounded harmonic variation
Bakhvalov A.N.
[J]. Moscow University Mathematics Bulletin, 2007, 62 (1) : 12 - 17
[38] FOURIER SERIES OF FUNCTIONS OF BOUNDED VARIATION
IZUMI, M
IZUMI, SI
[J]. PROCEEDINGS OF THE JAPAN ACADEMY, 1968, 44 (06): : 415 - &
[39] On Fourier series and functions of bounded variation
Young, WH
[J]. PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-CONTAINING PAPERS OF A MATHEMATICAL AND PHYSICAL CHARACTER, 1913, 88 (606) : 561 - 568
[40] On the summability of double Walsh–fourier series of functions of bounded generalized variation
U. Goginava
[J]. Ukrainian Mathematical Journal, 2012, 64 : 555 - 574

← 1 2 3 4 5 →