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Approximation of the classes $C_{β}^{ψ} H_{ω}$ by generalized Zygmund sums

We obtain asymptotic equalities for the least upper bounds of approximations by Zygmund sums in the uniform metric on the classes of continuous 2π-periodic functions whose (ψ, β)-derivatives belong to the set $H_{ω}$ in the case where the sequences ψ that generate the classes tend to zero not faster...

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Bibliographic Details
Date:	2009
Main Authors:	Ovsii, E. Yu., Serdyuk, A. S., Овсий, E. Ю., Сердюк, А. С.
Format:	Article
Language:	Russian English
Published:	Institute of Mathematics, NAS of Ukraine 2009
Online Access:	https://umj.imath.kiev.ua/index.php/umj/article/view/3037
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Journal Title:	Ukrains’kyi Matematychnyi Zhurnal
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