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

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 co...

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Bibliographic Details
Date:	2013
Main Authors:	Agoshkova, T. A., Агошкова, Т. А.
Format:	Article
Language:	Russian English
Published:	Institute of Mathematics, NAS of Ukraine 2013
Online Access:	https://umj.imath.kiev.ua/index.php/umj/article/view/2510
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Journal Title:	Ukrains’kyi Matematychnyi Zhurnal
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