On Kolmogorov-type inequalities for functions defined on a semiaxis

Necessary and sufficient conditions for the existence of a function from the class S - with prescribed values of integral norms of three successive derivatives (generally speaking, of a fractional order) are obtained.

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Bibliographic Details
Date:2007
Main Authors: Babenko, V. F., Skorokhodov, D. S., Бабенко, В. Ф., Скороходов, Д. С.
Format: Article
Language:Russian
English
Published: Institute of Mathematics, NAS of Ukraine 2007
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/3389
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal
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Summary:Necessary and sufficient conditions for the existence of a function from the class S - with prescribed values of integral norms of three successive derivatives (generally speaking, of a fractional order) are obtained.