Approximation of periodic functions of many variables by functions of smaller number of variables in Orlicz metric spaces

For periodic functions of many variables, the method of their approximation is offered in the Orlicz spaces $L_{\varphi} (T^m)$. In this method, the functions are approximated by the sums of functions of smaller number of variables, each of which is piecewiswe-constant in one of variables for fixed...

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Bibliographic Details
Date:2018
Main Authors: Babich, Yu. A., Michaylova, T. F., Бабич, Ю. А., Михайлова, Т. Ф.
Format: Article
Language:Russian
Published: Institute of Mathematics, NAS of Ukraine 2018
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/1624
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal