On Kolmogorov widths of classes $B^r_{p, \theta}$ of periodic functions of many variables with low smoothness in the space $L_q$

We study the Kolmogorov widths of Besov classes $B^r_{p, \theta}$ of periodic functions of many variables with low smoothness in the space $L_q, 1 < q < ∞$. We also investigate the behavior of widths of such classes with critical indices of smoothness.

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Bibliographic Details
Date:1994
Main Authors: Romanyuk, A. S., Романюк, А. С.
Format: Article
Language:Russian
English
Published: Institute of Mathematics, NAS of Ukraine 1994
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/5683
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal