On one inequality for the moduli of continuity of fractional order generated by semigroups of operators

A new inequality for the moduli of continuity of fractional order generated by semigroups of operators is obtained. This inequality implies a generalization of the well-known statement that there exists an $α$-majorant, which is not a modulus of continuity of order $α$ generated by a semigroup of op...

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Bibliographic Details
Date:2019
Main Authors: Bezkryla, S. I., Nesterenko, A. N., Chaikovs'kyi, A. V., Безкрила, С. І., Нестеренко, О. Н., Чайковський, А. В.
Format: Article
Language:Ukrainian
Published: Institute of Mathematics, NAS of Ukraine 2019
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/1441
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal