Approximation of Functions of the Classes CβψHα by Linear Methods Summation of Their Fourier Series-Reference-Cited by-同舟云学术

Approximation of Functions of the Classes CβψHα by Linear Methods Summation of Their Fourier Series

Published:2023-10-26 Issue:11 Volume:12 Page:1010
ISSN:2075-1680
Container-title:Axioms
language:en
Short-container-title:Axioms

Author:

Kharkevych Yurii¹^ORCID,Kal’chuk Inna¹^ORCID

Affiliation:

1. Faculty of Information Technologies and Mathematics, Lesya Ukrainka Volyn National University, 43025 Lutsk, Ukraine

Abstract

In this paper, we considered arbitrary linear summation methods of Fourier series specified by a set of continuous functions dependent on the real parameter and established their approximation properties. We obtained asymptotic formulas for the exact upper bounds of the deviations of operators generated by λ-methods of Fourier series summation from the functions of the classes CβψHα under certain restrictions on the functions ψ.

Publisher

MDPI AG

Subject

Geometry and Topology,Logic,Mathematical Physics,Algebra and Number Theory,Analysis

Link

https://www.mdpi.com/2075-1680/12/11/1010/pdf

Reference28 articles.

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4. Rukasov, V.I. (1983). Approximation of Periodic Functions by Linear Means of Their Fourier Series, Institute of Mathematics, Ukrainian Academy of Sciences. (In Russian).

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