Metrically convex functions in normed spaces
Volume 105 / 1993
Studia Mathematica 105 (1993), 1-11
DOI: 10.4064/sm-105-1-1-11
Abstract
Properties of metrically convex functions in normed spaces (of any dimension) are considered. The main result, Theorem 4.2, gives necessary and sufficient conditions for a function to be metrically convex, expressed in terms of the classical convexity theory.
