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arXiv · 1308.5268

Kolmogorov's Problem on the Class of Multiply Monotone Functions

Vladyslav Babenko·Yuliya Babenko·Oleg Kovalenko
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Abstract

In this paper we give necessary and sufficient conditions for the system of positive numbers $ M_{k_1}, M_{k_2},..., M_{k_{d}},$ $0\leq k_1<...<k_{d} {\leq} r$, to guarantee the existence of an $r$-monotone function defined on the negative half-line $\RR_-$ and such that $\|x^{(k_i)}\|_{\infty}=M_{k_i}, i=1,2,...,d$.

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Vladyslav Babenko, Yuliya Babenko, Oleg Kovalenko. 2013-08-24. Kolmogorov's Problem on the Class of Multiply Monotone Functions. https://arxiv.org/abs/1308.5268

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