Asymptotics of the values of approximations in the mean for classes of differentiable functions by using biharmonic Poisson integrals

Complete asymptotic decompositions are obtained for values of exact upper bounds of approximations of functions from the classes $W^r_1,\quad r \in N,$ and WJr, $\overline{W}^r_1,\quad r \in N\backslash\{1\}$, by their biharmonic Poisson integrals.

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Bibliographic Details
Date:2007
Main Authors: Kalchuk, I. V., Kharkevych, Yu. I., Кальчук, И. В., Харкевич, Ю. И.
Format: Article
Language:Russian
English
Published: Institute of Mathematics, NAS of Ukraine 2007
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/3373
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal