Approximation of analytic periodic functions by de la Vallée-Poussin sums

被引：0

作者：

Rukasov V.I. ^{[1
]}

Chaichenko S.O. ^{[1
]}

机构：

[1] Slavyansk Pedagogic Institute, Slavyansk

来源：

Ukrainian Mathematical Journal | 2002年 / 54卷 / 12期

关键词：

Periodic Function; Approximation Property; Asymptotic Equality; Analytic Periodic Function; Skii Problem;

D O I：

10.1023/A:1024077332287

中图分类号：

学科分类号：

摘要：

We investigate the approximation properties of the de la Vallée-Poussin sums on the classes CβqH ω. We obtain asymptotic equalities that, in certain cases, guarantee the solvability of the Kolmogorov-Nikol'skii problem for the de la Vallée-Poussin sums on the classes CβqH ω. © 2002 Plenum Publishing Corporation.

引用

页码：2006 / 2024

页数：18

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