The Kolmogorov Inequalities for Multiply Monotone Functions Defined on a Half-line Vladislav Babenko

Abstract

We shall present new Kolmogorov type inequalities for intermediate derivatives of multiply monotone functions defined on the negative half-line as well as their applications to the Kolmogorov problem consisting of finding necessary and sufficient conditions for the system of positive numbers M0,p0 ,Mk,pk ,Mr,pr which guarantee the existence of an (r − 1… (More)

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