Estimates of the entropy numbers and ε-entropy of the Nikol’skii-Besov classes of periodic functions of several variables

We obtain the order estimates of the entropy numbers and $\varepsilon$-entropy of the Nikol'skii-Besov classes $B_{p,\theta}^r$ of periodic functions of many variables in the space $L_q$ for some values of the parameters $p$ and $q$

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Bibliographic Details
Date:2014
Main Authors: Romanyuk, A. S., Романюк, А. С.
Format: Article
Language:Russian
Published: Інститут математики НАН України 2014
Online Access:https://trim.imath.kiev.ua/index.php/trim/article/view/77
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Journal Title:Transactions of Institute of Mathematics of NAS of Ukraine
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Transactions of Institute of Mathematics of NAS of Ukraine