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Approximation of Poisson integrals by de la Valleé-Poussin sums in uniform and integral metrics

On the classes of Poisson integrals of functions belonging to the unit balls of the spaces $L_s , 1 ≤ s ≤ ∞$, we establish asymptotic equalities for upper bounds of approximations by de la Vallée-Poussin sums in the uniform metric. Asymptotic equalities are also obtained for the case of approximatio...

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Bibliographic Details
Date:	2010
Main Authors:	Serdyuk, A. S., Сердюк, А. С.
Format:	Article
Language:	Russian English
Published:	Institute of Mathematics, NAS of Ukraine 2010
Online Access:	https://umj.imath.kiev.ua/index.php/umj/article/view/2991
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Journal Title:	Ukrains’kyi Matematychnyi Zhurnal
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