Approximation of Functions of the Classes <mml:semantics>Cβψ<mml:msup>Hα</mml:msup></mml:semantics> by Linear Methods Summation of Their Fourier Series

被引：0

作者：

Kharkevych, Yurii ^{[1
]}

Kal'chuk, Inna ^{[1
]}

机构：

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

来源：

AXIOMS | 2023年 / 12卷 / 11期

关键词：

classes of (psi; beta)-differentiable functions; Fourier series; lambda-methods summation; asymptotic equality; uniform metric; ABEL-POISSON INTEGRALS;

D O I：

10.3390/axioms12111010

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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 lambda-methods of Fourier series summation from the functions of the classes C beta psi H alpha under certain restrictions on the functions psi.

引用

页数：14

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