Approximation of Periodic Functions of Many Variables in Metric Spaces by Piecewise-Constant Functions

被引：0
作者：
T. A. Agoshkova
机构：
[1] Dnepropetrovsk National University of Railway Transport,
来源：
Ukrainian Mathematical Journal | 2014年 / 65卷
关键词：
Periodic Function; English Translation; Step Function; Function Reference; Equidistant Point;
D O I：
暂无
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学科分类号：
摘要：
We prove the direct and inverse Jackson- and Bernstein-type theorems for averaged approximations of periodic functions of many variables by piecewise-constant functions with uniform partition of the period torus in metric spaces with integral metric given by a function ψ of the type of modulus of continuity.
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页码：1447 / 1459
页数：12
相关论文
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[1]  
Pichugov SA(1996)Approximation of measurable periodic functions in measure by step functions Ukr. Math. J. 48 795-800
[2]  
Pichugov SA(1994)Approximation of periodic functions by constants in the metric spaces Π( Ukr. Math. J. 46 1206-1209
[3]  
Pichugov SA(1988)) Mat. Zametki 43 604-614
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