On the best approximation of classes $W^r H^{ω}$ by algebraic polynomials in the space $L_1$

We obtain an asymptotic equality for the best approximation of the classes $W^r H^{ω}$ by algebraic polynomials in the space $L_1$ for convex upwards, regularly varying moduli of continuity.

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Bibliographic Details
Date:1999
Main Authors: Kogan, A. M., Коган, А. М.
Format: Article
Language:Russian
English
Published: Institute of Mathematics, NAS of Ukraine 1999
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/4747
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal