Polynomial selections and separation by polynomials
Functional Analysis
2008-07-28 v1 Classical Analysis and ODEs
Abstract
Necessary and sufficient conditions under which two real functions defined on the real interval can be separated by a polynomial are given. An immediate consequence of the main result is the existence of the polynomial separation of convex functions of higher order. Another application is some Hyers-Ulam-stability-type result.
Cite
@article{arxiv.0807.4061,
title = {Polynomial selections and separation by polynomials},
author = {Szymon Wasowicz},
journal= {arXiv preprint arXiv:0807.4061},
year = {2008}
}