Approximation of infinitely differentiable periodic functions by interpolation trigonometric polynomials

被引：0
|
作者：
A. S. Serdyuk
机构：
[1] Ukrainian Academy of Sciences,Institute of Mathematics
来源：
Ukrainian Mathematical Journal | 2004年 / 56卷 / 4期
关键词：
Periodic Function; Differentiable Function; Trigonometric Polynomial; Fixed Generate; Asymptotic Equality;
D O I：
10.1007/s11253-005-0006-0
中图分类号：
学科分类号：
摘要：
We establish asymptotically unimprovable interpolation analogs of Lebesgue-type inequalities on the classes of periodic infinitely differentiable functions CΨβC whose elements can be represented in the form of convolutions with fixed generating kernels. We obtain asymptotic equalities for upper bounds of approximations by interpolation trigonometric polynomials on the classes CΨβ,∞ and CΨβHω.
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页码：601 / 613
页数：12
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