О скорсти сходимости рядов фурье двумерных функций ограниченной вариацииOn the rate of convergence of Fourier series of functions of bounded variation in two variables

被引：0

作者：

А. Йенеи

机构：

[1] Мamемamuческuu uисmumуm uм. Бояu,Сеƨе∂скuu уиuверсumеm

来源：

Analysis Mathematica | 2009年 / 35卷

关键词：

D O I：

暂无

中图分类号：

学科分类号：

摘要：

С. А. Теляковский [12] распостронил теорему Боянича [2], которая является количестбенным вариантом широко известной в классическом анализе фурье турье теореяы Дирихле-Жордана. Наша цель — расширять теорему Теляковского с одномерных на двумерные ряды фурье функций ограниченной вариации в смысле Харди и Краузе. Указанные теоремы Харди [5] и Морица [7] для таких же функций являются последствиями нашей теоремы, доказанной в ∂той стаье.

引用

页码：99 / 118

页数：19

共 50 条

[31] On the convergence of multiple Walsh-Fourier series of functions of bounded generalized variation
Goginava, U.
Sahakian, A.
[J]. JOURNAL OF CONTEMPORARY MATHEMATICAL ANALYSIS-ARMENIAN ACADEMY OF SCIENCES, 2012, 47 (05): : 221 - 233
[32] On the convergence of multiple Walsh-Fourier series of functions of bounded generalized variation
U. Goginava
A. Sahakian
[J]. Journal of Contemporary Mathematical Analysis, 2012, 47 : 221 - 233
[33] ON THE RATE OF CONVERGENCE OF BERNSTEIN POWER-SERIES FOR FUNCTIONS OF BOUNDED VARIATION
KHAN, MK
[J]. JOURNAL OF APPROXIMATION THEORY, 1989, 57 (01) : 90 - 103
[34] ON THE RATE OF CONVERGENCE OF CONJUGATE LEGENDRE-FOURIER SERIES OF FUNCTION OF BOUNDED VARIATION
Yu Guohua (Hangzhau University
[J]. Analysis in Theory and Applications, 1997, (04) : 42 - 55
[35] RATE OF CONVERGENCE FOR DOUBLE WALSH-FOURIER SERIES OF FUNCTIONS OF BOUNDED FLUCTUATION
MORICZ, F
[J]. ARCHIV DER MATHEMATIK, 1993, 60 (03) : 256 - 265
[36] Sharp Estimates for the Convergence Rate of Fourier Series in Two Variables and Their Applications
F. V. Abilova
E. V. Selimkhanov
[J]. Computational Mathematics and Mathematical Physics, 2018, 58 : 1545 - 1551
[37] Sharp Estimates for the Convergence Rate of Fourier Series in Two Variables and Their Applications
Abilova, F. V.
Selimkhanov, E. V.
[J]. COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS, 2018, 58 (10) : 1545 - 1551
[38] FOURIER-SERIES OF FUNCTIONS OF BOUNDED VARIATION
HOROWITZ, C
[J]. AMERICAN MATHEMATICAL MONTHLY, 1975, 82 (04): : 391 - 392
[39] 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
[40] 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

← 1 2 3 4 5 →