Best Bilinear Approximations for the Classes of Functions of Many Variables

We obtain upper bounds for the values of the best bilinear approximations in the Lebesgue spaces of periodic functions of many variables from the Besov-type classes. In special cases, it is shown that these bounds are order exact.

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Bibliographic Details
Date:2013
Main Authors: Romanyuk, A. S., Romanyuk, V. S., Романюк, А. С., Романюк, В. С.
Format: Article
Language:Russian
English
Published: Institute of Mathematics, NAS of Ukraine 2013
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/2546
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal