未找到相关数据
Estimations of the Best Approximations for the Classes of Infinitely Differentiable Functions in Uniform and Integral Metrics
被引：0
作者：
A. S. Serdyuk
T. A. Stepanyuk
机构：
[1] Ukrainian National Academy of Sciences,Institute of Mathematics
[2] L. Ukrainka East-European National University,undefined
来源：
Ukrainian Mathematical Journal
|
2015年
/
66卷
关键词：
Explicit Form;
Power Function;
Related Problem;
Differentiable Function;
Approximation Theory;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We establish uniform (with respect to the parameter p, 1 ≤ p ≤ ∞) upper estimations of the best approximations by trigonometric polynomials for the classes Cβ,pψ of periodic functions generated by sequences ψ(k) vanishing faster than any power function. The obtained estimations are exact in order and contain constants expressed in the explicit form and depending solely on the function ψ. Similar estimations are obtained for the best approximations of the classes Lβ,1ψ in metrics of the spaces Ls, 1 ≤ s ≤ ∞.
引用
收藏
页码：1393 / 1407
页数：14
相关论文