Approximation by double second type delayed arithmetic mean of periodic functions in \(H_{p}^{(\omega, \omega)}\) space

In this paper, we give a degree of approximation of a function in the space \(H_{p}^{(\omega, \omega)}\) by using the second type double delayed arithmetic means of its Fourier series. Such degree of approximation is expressed via two functions of moduli of continuity type. To obtain one more genera...

Full description

Saved in:
Bibliographic Details
Published inarXiv.org
Main Authors Krasniqi, Xh Z, Kórus, P, Szal, B
Format Paper
LanguageEnglish
Published Ithaca Cornell University Library, arXiv.org 03.03.2022
Subjects
Approximation
Arithmetic
Fourier series
Mathematical analysis
Periodic functions
Online AccessGet full text

Cover

More Information
Summary:In this paper, we give a degree of approximation of a function in the space \(H_{p}^{(\omega, \omega)}\) by using the second type double delayed arithmetic means of its Fourier series. Such degree of approximation is expressed via two functions of moduli of continuity type. To obtain one more general result, we used the even-type double delayed arithmetic means of Fourier series as well.
ISSN:2331-8422