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arXiv · 1401.2923

Kolmogorov problem on the class of multiply monotone functions

Oleg Kovalenko
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Abstract

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

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Oleg Kovalenko. 2014-01-13. Kolmogorov problem on the class of multiply monotone functions. https://arxiv.org/abs/1401.2923

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