Degree of convergence of a function of several variables in generalized Holder spaces

被引：3

作者：

Nigam, Hare Krishna ^{[1
]}

Srivastava, Hari Mohan ^{[2
,3
,4
,5
,6
,7
]}

Nandy, Swagata ^{[1
]}

机构：

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

[2] Univ Victoria, Dept Math & Stat, Victoria, BC, Canada

[3] China Med Univ, China Med Univ Hosp, Dept Med Res, Taichung, Taiwan

[4] Azerbaijan Univ, Dept Math & Informat, Baku, Azerbaijan

[5] Int Telemat Univ Uninettuno, Sect Math, Rome, Italy

[6] Kyung Hee Univ, Ctr Converging Humanities, Seoul, South Korea

[7] Univ Victoria, Dept Math & Stat, Victoria, BC V8W 3R4, Canada

来源：

MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2023年 / 46卷 / 08期

关键词：

degree of convergence; generalized Holder spaces; modulus of continuity; N-dimensional conjugate Fourier series; N-dimensional matrix transformations; CONJUGATE-SERIES; LIPSCHITZ CLASS; FOURIER-SERIES; MATRIX MEANS; APPROXIMATION; SUMMABILITY;

D O I：

10.1002/mma.9034

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we obtain degree of convergence of a function of two-dimensional variables in generalized Holder spaces by matrix means of its conjugate Fourier series. We also obtain degree of convergence of a function of N-dimensional variables in generalized Holder spaces by matrix means of its conjugate Fourier series. We also deduce important corollaries from our main results.

引用

页码：9028 / 9052

页数：25

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