Estimates of approximation characteristics and properties of operators of the best approximation for the classes of periodic functions in the space $B_{1,1}$

UDC 517.51 We obtain the exact-order estimates for orthoprojection widths and similar approximation characteristics of the Sobolev classes $W^{\boldsymbol{r}}_{p,\boldsymbol{\alpha}}$ and Nikol'skii–Besov classes $B^{\boldsymbol{r}}_{p,\theta}$ of periodic functions of one and several varia...

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Bibliographic Details
Date:2021
Main Authors: Romanyuk, A. S., Yanchenko, S. Ya., Романюк, А. С., Янченко, С. Я.
Format: Article
Language:Ukrainian
Published: Institute of Mathematics, NAS of Ukraine 2021
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/6755
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal