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

Author:

Nigam Hare Krishna1ORCID,Srivastava Hari Mohan23456ORCID,Nandy Swagata1

Affiliation:

1. Department of Mathematics Central University of South Bihar Gaya Bihar India

2. Department of Mathematics and Statistics University of Victoria Victoria British Columbia Canada

3. Department of Medical Research China Medical University Hospital, China Medical University Taichung Taiwan

4. Department of Mathematics and Informatics Azerbaijan University Baku Azerbaijan

5. Section of Mathematics International Telematic University Uninettuno Rome Italy

6. Center for Converging Humanities Kyung Hee University Seoul Republic of Korea

Abstract

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

Publisher

Wiley

Subject

General Engineering,General Mathematics

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