Characterizations of double Hausdorff matrices and best approximation of conjugate of a function in generalized Hölder space-Reference-Cited by-同舟云学术

Characterizations of double Hausdorff matrices and best approximation of conjugate of a function in generalized Hölder space

Published:2022 Issue:15 Volume:36 Page:5003-5028
ISSN:0354-5180
Container-title:Filomat
language:en
Short-container-title:Filomat

Author:

Nigam H.K.¹,Saha Manoj¹

Affiliation:

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

Abstract

In the present paper, we obtain characterization results of double Hausdorff matrices and apply these results to obtain error estimation of the function f?(x, y), conjugate to a function f (x, y) (periodic with period 2? in both x and y) in generalized H?lder space by double Hausdorff means of its double conjugate Fourier series. Some important corollaries are also obtained from our main result.

Publisher

National Library of Serbia

Subject

General Mathematics

Reference24 articles.

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4. B. E. Rhoades, K. Ozkoklu, I. Albayrak, On the degree of approximation of functions belonging to a Lipschitz class by Hausdorff means of its Fourier series, Appl. Math. Comput., 217(16) (2011), 6868-6871.

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