An approximation theorem for non-decreasing functions on compact posets
Classical Analysis and ODEs
2013-04-30 v2
Abstract
In this short note we prove a theorem of the Stone-Weierstrass sort for subsets of the cone of non-decreasing continuous functions on compact partially ordered sets.
Cite
@article{arxiv.1208.2616,
title = {An approximation theorem for non-decreasing functions on compact posets},
author = {Fabien Besnard},
journal= {arXiv preprint arXiv:1208.2616},
year = {2013}
}
Comments
5 pages. Final remark added. A somewhat shorter version it to appear in Journal of Approximation Theory