English

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

Functional Analysis 2015-09-18 v1

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.

Keywords

Cite

@article{arxiv.1509.05073,
  title  = {Kolmogorov's problem for completely and multiply monotone functions and the Markov moment problem},
  author = {Vladyslav Babenko and Yuliya Babenko and Oleg Kovalenko},
  journal= {arXiv preprint arXiv:1509.05073},
  year   = {2015}
}