Approximation Properties of the Generalized Abel-Poisson Integrals on the Weyl-Nagy Classes-Reference-Cited by-同舟云学术

Approximation Properties of the Generalized Abel-Poisson Integrals on the Weyl-Nagy Classes

Published:2022-04-01 Issue:4 Volume:11 Page:161
ISSN:2075-1680
Container-title:Axioms
language:en
Short-container-title:Axioms

Author:

Kal’chuk Inna^ORCID,Kharkevych Yurii^ORCID

Abstract

Asymptotic equalities are obtained for the least upper bounds of approximations of functions from the classes Wβ,∞r by the generalized Abel-Poisson integrals Pγ(δ),0<γ≤2, for the case r>γ in the uniform metric, which provide the solution to the Kolmogorov–Nikol’skii problem for the given method of approximation on the Weyl-Nagy classes.

Publisher

MDPI AG

Subject

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

Link

https://www.mdpi.com/2075-1680/11/4/161/pdf

Reference28 articles.

1. Classification and Approximation of Periodic Functions;Stepanets,1995

2. Inequalities of the type of Bernstein inequalities and their application to the investigation of the differential properties of the solutions of differential equations of higher order;Bugrov;Mathematica,1963

3. On the order of approximation of a continuous 2π-periodic function by its Poisson integral;Natanson;Dokl. Akad. Nauk SSSR,1950

4. Some properties of operators of Abel-Poisson type

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