Means of unbounded sets
Classical Analysis and ODEs
2018-02-27 v2
Abstract
We study generalized means whose domain may contain unbounded sets as well. We investigate usual properties of this type of means and also new attributes that regard for such means only. We examine how a mean defined on bounded sets can be extended to this type of mean. We generalize some classic means and also present many new examples for means defined on unbounded sets.
Cite
@article{arxiv.1802.04110,
title = {Means of unbounded sets},
author = {Attila Losonczi},
journal= {arXiv preprint arXiv:1802.04110},
year = {2018}
}