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arXiv · 1509.05073

Kolmogorov's problem for completely and multiply monotone functions and the Markov moment problem

Vladyslav Babenko·Yuliya Babenko·Oleg Kovalenko
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Abstract

In this paper, we present the solution to Kolmogorov's problem for the classes of multiply monotone and completely monotone functions together with its connections to the Markov moment problem, Hermite-Birkhoff interpolation problem, and other extremal problems.

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Vladyslav Babenko, Yuliya Babenko, Oleg Kovalenko. 2015-09-16. Kolmogorov's problem for completely and multiply monotone functions and the Markov moment problem. https://arxiv.org/abs/1509.05073

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