APPROXIMATION OF (ψ, β)-DIFFERENTIABLE FUNCTIONS BY POISSON INTEGRALS IN THE UNIFORM METRIC

被引：10

作者：

Zhyhallo, T. V. ^{[1
]}

Kharkevych, Yu. I. ^{[1
]}

机构：

[1] Volyn Natl Univ, Lutsk, Ukraine

来源：

UKRAINIAN MATHEMATICAL JOURNAL | 2009年 / 61卷 / 11期

关键词：

Fourier Series; Periodic Function; Differentiable Function; Summable Function; Account Relation;

D O I：

10.1007/s11253-010-0311-0

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We obtain asymptotic equalities for upper bounds of approximations of functions from the class C(beta,infinity)(psi) by Poisson integrals in the metric of the space C.

引用

页码：1757 / 1779

页数：23

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