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Best approximations for classes of periodic functions of many variables with bounded dominating mixed derivative

UDC 517.51 We establish exact order estimates for approximations of the Sobolev classes $W^{\boldsymbol{r}}_{p,\boldsymbol{\alpha}}(\mathbb{T}^d)$ of periodic functions of many variables with bounded dominant mixed derivative.&nbsp;The approximation is performed by using trigonometric polyno...

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Bibliographic Details
Date:	2024
Main Authors:	Pozharska, K., Romanyuk , A., Yanchenko, S., Пожарська, Катерина, Романюк, Анатолій, Янченко, Сергій
Format:	Article
Language:	Ukrainian
Published:	Institute of Mathematics, NAS of Ukraine 2024
Online Access:	https://umj.imath.kiev.ua/index.php/umj/article/view/8307
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Journal Title:	Ukrains’kyi Matematychnyi Zhurnal
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