Estimates of the best bilinear approximations for the classes of $(ψ,β)$-differentiable periodic multivariate functions

Order estimates are obtained for the best bilinear approximations of $2d$-variable functions $f(x y),\; x, y \in \pi_d,\; \pi_d =\prod^d_{j=1} [ \pi , \pi ]$, formed by $d$-variable functions $f(x) \in L^{\psi}_{\beta} ,p$ by the shifts of their argument $x \in \pi_d$ by all possible values of $y...

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Bibliographic Details
Date:2018
Main Authors: Shvai, K. V., Швай, К. В.
Format: Article
Language:Ukrainian
Published: Institute of Mathematics, NAS of Ukraine 2018
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/1576
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal