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

被引：13

作者：

Kal'chuk, Inna ^{[1
]}

Kharkevych, Yurii ^{[1
]}

机构：

[1] Lesya Ukrainka Volyn Natl Univ, Fac Informat Technol & Math, UA-43025 Lutsk, Ukraine

来源：

AXIOMS | 2022年 / 11卷 / 04期

关键词：

Weyl-Nagy classes; generalized Abel-Poisson integral; asymptotic equality; Kolmogorov-Nikol'skii problem; uniform metric;

D O I：

10.3390/axioms11040161

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Asymptotic equalities are obtained for the least upper bounds of approximations of functions from the classes W-beta(,infinity)r by the generalized Abel-Poisson integrals P-gamma(delta), 0 < gamma <= 2, for the case r > gamma 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.

引用

页数：12

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