Kolmogorov problem on a class of multiple monotone functions

Necessary and sufficient conditions for positive numbers $M_{k_1}, M_{k_2}, M_{k_3}, M_{k_4}$, $0 = k_1 <k_2<k_3\leq r-2$, $k_4=r$, to guarantee the existence of an $r-1$-monotone function defined on the negative half-line and such that $\|x^{(k_i)}\| = M_{k_i}$, $i=1,2,3,4$ we...

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Bibliographic Details
Date:2013
Main Authors: Kovalenko, O. V., Коваленко, О. В.
Format: Article
Language:Russian
Published: Інститут математики НАН України 2013
Online Access:https://trim.imath.kiev.ua/index.php/trim/article/view/160
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Journal Title:Transactions of Institute of Mathematics of NAS of Ukraine
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Transactions of Institute of Mathematics of NAS of Ukraine