Approximation of Poisson integrals by one linear approximation method in uniform and integral metrics

We obtain asymptotic equalities for the least upper bounds of approximations of classes of Poisson integrals of periodic functions by a linear approximation method of special form in the metrics of the spaces C and Lp .

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Bibliographic Details
Date:2008
Main Authors: Serdyuk, A. S., Сердюк, А. С.
Format: Article
Language:Ukrainian
English
Published: Institute of Mathematics, NAS of Ukraine 2008
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/3213
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal
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Summary:We obtain asymptotic equalities for the least upper bounds of approximations of classes of Poisson integrals of periodic functions by a linear approximation method of special form in the metrics of the spaces C and Lp .