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arxiv: 1509.05073 · v1 · pith:Y5CC7RMDnew · submitted 2015-09-16 · 🧮 math.FA

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

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keywords problemmonotonecompletelyfunctionskolmogorovmarkovmomentmultiply
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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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