Rate of convergence of double Fourier series of functions of generalized bounded variation

被引：0

作者：

Bera, Rameshbhai Karshanbhai ^{[1
]}

Ghodadra, Bhikha Lila ^{[1
]}

机构：

[1] Maharaja Sayajirao Univ Baroda, Fac Sci, Dept Math, Vadodara 390002, Gujarat, India

来源：

ACTA SCIENTIARUM MATHEMATICARUM | 2022年 / 88卷 / 3-4期

关键词：

double Fourier series; generalized bounded variation; pointwise convergence; rate of convergence;

D O I：

10.1007/s44146-022-00050-x

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, the rate of convergence of the double Fourier series of a function 2 pi-periodic in each variable and of generalized bounded variation is estimated. The result obtained is a generalization of a result of Bojanic and Waterman for a single Fourier series and of a result of F. Moricz and consequently a result of Hardy for a function of two variables.

引用

页码：723 / 737

页数：15

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