The best trigonometric approximations and the Kolmogorov diameters of the Besov classes of functions of many variables

The order estimates for the best trigonometric approximations and the Kolmogorov diameters of the classes $B^r_{p, \theta}$ of functions of many variables in the space $L_q$ are obtained for certain values of the parameters $p, q$.

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Bibliographic Details
Date:1993
Main Authors: Romanyuk, A. S., Романюк, А. С.
Format: Article
Language:Russian
English
Published: Institute of Mathematics, NAS of Ukraine 1993
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/5853
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal

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