SEPARATION BY STRONGLY h-CONVEX FUNCTIONS

摘要

The convex separation problem is studied intensively in many situation: It is answered for the cases of classical convexity, strong convexity, h-convexity and strong h-convexity with multiplicative h. In the case of h-convexity, multiplicativity turns out to be considerably relaxed. The aim of the present note is to give common generalization of these results, that is, to give sufficient and necessary conditions for the existence of strongly h-convex separators with no further assumption on multiplicativity.