Approximation of infinitely differentiable periodic functions by interpolation trigonometric polynomials in integral metric

被引：0
|
作者：
Serdyuk A.S. [1 ]
机构：
[1] Institute of Mathematics, Ukrainian Academy of Sciences, Kiev
来源：
Ukrainian Mathematical Journal | 2001年 / 53卷 / 12期
关键词：
Periodic Function; Differentiable Function; Trigonometric Polynomial; Asymptotic Equality; Interpolation Trigonometric;
D O I：
10.1023/A:1015490906892
中图分类号：
学科分类号：
摘要：
We obtain asymptotic equalities for the upper bounds of approximations of periodic infinitely differentiable functions by interpolation trigonometric polynomials in the metric of L1 on the classes of convolutions. © 2001 Plenum Publishing Corporation.
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页码：2014 / 2026
页数：12
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