On the quadratic support of strongly convex functions

In this paper, we first introduce the notion of c-affine functions for c> ۰. Then we deal with some properties of strongly convex functions in real inner product spaces by using a quadratic support function at each point which is c-affine. Moreover, a Hyers–-Ulam stability result for strongly convex functions is shown.

کلیدواژه ها:

strongly convex function ، Hahn-Banach theorem ، c-affine functions ، quadratic support