Kolmogorov problem on classes of absolute monotone and multiple monotone functions and its connection with Markov moment problem
Functional Analysis
2015-03-24 v1
Abstract
In this paper we solve Kolmogorov problem about existence of a function with given norms of derivatives for classes of multiple monotone functions and absolute monotone functions in the case of arbitrary number of norms. We also show the connection of Kolmogorov problem with Markov moment problem.
Keywords
Cite
@article{arxiv.1503.06553,
title = {Kolmogorov problem on classes of absolute monotone and multiple monotone functions and its connection with Markov moment problem},
author = {Vladyslav Babenko and Yuliya Babenko and Oleg Kovalenko},
journal= {arXiv preprint arXiv:1503.06553},
year = {2015}
}
Comments
9 pages in Ukrainian