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A modulus of smoothness for some Banach function spaces

UDC 517.5 Based on the Steklov operator, we consider a modulus of smoothness of functions in some Banach function spaces, which can be not translation invariant and establish its main properties.&nbsp; A constructive characterization of the Lipschitz class is obtained by using the Jackson-ty...

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Bibliographic Details
Date:	2023
Main Author:	Akgün, Ramazan
Format:	Article
Language:	English
Published:	Institute of Mathematics, NAS of Ukraine 2023
Online Access:	https://umj.imath.kiev.ua/index.php/umj/article/view/970
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Journal Title:	Ukrains’kyi Matematychnyi Zhurnal
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