Convexity properties of functions defined on metric Abelian groups
arXiv:1911.08984 · doi:10.1007/s00010-020-00751-0
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.