Convexity properties of functions defined on metric Abelian groups
Classical Analysis and ODEs
2020-11-23 v1
Abstract
The notions of quasiconvexity, Wright convexity and convexity for functions defined on a metric Abelian group are introduced. Various characterizations of such functions, the structural properties of the functions classes so obtained are established and several well-known results are extended to this new setting.
Keywords
Cite
@article{arxiv.1911.08984,
title = {Convexity properties of functions defined on metric Abelian groups},
author = {Włodzimierz Fechner and Zsolt Páles},
journal= {arXiv preprint arXiv:1911.08984},
year = {2020}
}