An Analysis of the Convergence Problem of a Function in Functional Norms by Applying the Generalized Nörlund-Matrix Product Operator-Reference-Cited by-同舟云学术

An Analysis of the Convergence Problem of a Function in Functional Norms by Applying the Generalized Nörlund-Matrix Product Operator

Published:2023-08-22 Issue:3 Volume:5 Page:32
ISSN:2413-4155
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language:en
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Author:

Srivastava Hari¹²³⁴⁵^ORCID,Nigam Hare⁶,Nandy Swagata⁶

Affiliation:

1. Department of Mathematics and Statistics, University of Victoria, Victoria, BC V8W 3R4, Canada

2. Department of Medical Research, China Medical University Hospital, China Medical University, Taichung 40402, Taiwan

3. Department of Mathematics and Informatics, Azerbaijan University, 71 Jeyhun Hajibeyli Street, Baku AZ1007, Azerbaijan

4. Section of Mathematics, International Telematic University Uninettuno, I-00186 Rome, Italy

5. Center for Converging Humanities, Kyung Hee University, 26 Kyungheedae-ro, Dongdaemun-gu, Seoul 02447, Republic of Korea

6. Department of Mathematics, Central University of South Bihar, Gaya 824236, Bihar, India

Abstract

In this paper, we analyze the convergence problems of function g of Fourier series in Besov and generalized Zygmund norms using generalized Nörlund-Matrix (Np,qA) means of Fourier series. Convergence results are also compared by means of applications.

Publisher

MDPI AG

Subject

Multidisciplinary

Link

https://www.mdpi.com/2413-4155/5/3/32/pdf

Reference27 articles.

1. Interpolation of Besov spaces;Devore;Trans. Am. Math. Soc.,1988

2. The degree of approximation of functions and their conjugates belonging to several general Lipschitz classes by Hausdorff matrix means of the Fourier series and conjugate series of a Fourier series;Rhoades;Tamkang J. Math.,2014

3. Some characterizations of Hausdorff matrices and their application to Fourier approximation;Singh;J. Comput. Appl. Math.,2020

4. Approximation of function using generalized Zygmund class;Nigam;Adv. Differ. Equ.,2021

5. Trigonometric approximation of functions by Hausdorff-Matrix product operators;Krishna;Nonlinear Funct. Anal. Appl.,2019