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Approximation of classes $C_\infty ^{\bar \psi }$ by zygmund sumsby zygmund sums

We consider the approximation of functions of the classes of $\bar \psi$ by Zygmund sums. In papticular, we present asymptotic equalities for the quantities $\varepsilon _n (C_\infty ^{\bar \psi } ;Z_n )_C$ under various conditions imposed on functions $ψ_1(·)$ and $ψ_2(·)$.

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Bibliographic Details
Date:	2000
Main Authors:	Fedorenko, An. S., Федоренко, Ан. С.
Format:	Article
Language:	Russian English
Published:	Institute of Mathematics, NAS of Ukraine 2000
Online Access:	https://umj.imath.kiev.ua/index.php/umj/article/view/4483
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Journal Title:	Ukrains’kyi Matematychnyi Zhurnal
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