Degree of Convergence of Functions of Multiple Fourier Series in Sobolev Spaces

被引：0

作者：

Nigam, H. K. ^{[1
]}

Mursaleen, M. ^{[2
]}

Yadav, Saroj ^{[1
]}

机构：

[1] Cent Univ South Bihar, Dept Math, Gaya, Bihar, India

[2] Aligarh Muslim Univ, Dept Math, Aligarh, Uttar Pradesh, India

来源：

AZERBAIJAN JOURNAL OF MATHEMATICS | 2022年 / 12卷 / 02期

关键词：

degree of convergence; modulus of smoothness; Sobolev spaces; N-dimensional Riesz means; multiple Fourier series; MATRIX MEANS; APPROXIMATION;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, the degree of convergence of a function of two dimensional variable of double Fourier series in Sobolev spaces using double Riesz means is obtained. The degree of convergence of a function of N-dimensional variable of N-multiple Fourier series in Sobolev spaces using N-dimensional Riesz means is also obtained in this paper.

引用

页码：72 / 91

页数：20

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