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On the dependence of the norm of a multiply monotone function on the norms of its derivatives

We establish necessary and sufficient conditions for a system of positive numbers Mk1 , Mk2 , Mk3 , Mk4 , 0 = k1 < < k2 < k3 \leq r 3, k4 = r guaranteeing the existence of an (r 2)-monotone function x on the half line such that \| x(ki)\| \infty = Mki , i = 1, 2, 3, 4.

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Bibliographic Details
Date:	2018
Main Authors:	Bondarenko, A. R., Kovalenko, O. V., Бондаренко, А. Р., Коваленко, О. В.
Format:	Article
Language:	Ukrainian
Published:	Institute of Mathematics, NAS of Ukraine 2018
Online Access:	https://umj.imath.kiev.ua/index.php/umj/article/view/1601
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Journal Title:	Ukrains’kyi Matematychnyi Zhurnal
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