On a problem connected with strongly convex functions
Mirosław Adamek · Mathematical Inequalities & Applications · 2016
In this paper we show that the result obtained by Nikodem and Ples in In particular, for a non-negative function F defined on a real vector space we define F -strongly convex functions and show that such functions are in the form g + F * , where g is a convex function and F * is a function associated with function F , iff F * is a quadratic function. Using this result, we get a characterization of quadratic functions.