Best bilinear approximations of the classes $S^{\Omega}_{p, \theta}B$ of periodic functions of many variables

We obtain exact-order estimates of the best bilinear approximations of classes $S^{\Omega}_{p, \theta}B$ of periodic functions of many variables in the space $L_q$ for some relations between parameters $p, q, \theta$.

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Bibliographic Details
Date:2011
Main Authors: Solich, K. V., Соліч, К. В.
Format: Article
Language:Ukrainian
English
Published: Institute of Mathematics, NAS of Ukraine 2011
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/2764
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal