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

被引：1

作者：

Agoshkova, T. A. ^{[1
]}

机构：

[1] Dnepropetrovsk Natl Univ Railway Transport, Dnepropetrovsk, Ukraine

来源：

UKRAINIAN MATHEMATICAL JOURNAL | 2014年 / 65卷 / 10期

关键词：

Periodic Function; English Translation; Step Function; Function Reference; Equidistant Point;

D O I：

10.1007/s11253-014-0871-5

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

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 psi of the type of modulus of continuity.

引用

页码：1447 / 1459

页数：13