Mean-square approximation by an angle in $L_2$ and the values of quasiwidths for some classes of functions

UDC 517.5 In the metric $L_{2},$ we obtain exact inequalities that associate the best approximations by trigonometrical ``angles'' for functions $f(x,y),$ which are differentiable and $2\pi$-periodic in each variable, with the integrals containing modules of continuity of higher or...

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Bibliographic Details
Date:2020
Main Authors: Shabozov, M. Sh., Akobirshoev , M. O., Акобиршоев, М. О., Шабозов, М. Ш.
Format: Article
Language:Russian
Published: Institute of Mathematics, NAS of Ukraine 2020
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/1064
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal