Approximation of holomorphic functions by Cesàro means

UDC 517.5 For the Lipschitz class of functions holomorphic in the disc, we present a constructive characterization of this class in terms of Cesaro’s means of order $\alpha \ge 2$ of the Taylor series. We solve the problem of exact upper bound for the deviations of Cesaro’s means of order $\alpha \g...

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Bibliographic Details
Date:2022
Main Authors: Rovenska , O. G., Savchuk , V. V., Savchuk, M. V., Ровенська, О. Г., Савчук, В. В., Савчук , М. В., Савчук, Віктор Васильович
Format: Article
Language:Ukrainian
Published: Institute of Mathematics, NAS of Ukraine 2022
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/7143
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal