Approximation of bounded holomorphic and harmonic functions by Fejér means

We compute the exact values of the exact upper bounds on the classes of bounded holomorphic and harmonic functions in a unit disk for the remainders in a Voronovskaya-type formula in the case of approximation by Fej´er means. We also present some consequences that are of independent interest.

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Bibliographic Details
Date:2019
Main Authors: Savchuk, V. V., Savchuk, M. V., Chaichenko, S. O., Савчук, В. В., Савчук, М. В., Чайченко, С. О.
Format: Article
Language:Ukrainian
Published: Institute of Mathematics, NAS of Ukraine 2019
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/1455
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal