On the quadratic support of strongly convex functions

Document Type : Research Paper


Department of Mathematics, Faculty of Mathematics, Statistics and Computer Sciences, Semnan University, Semnan 35195-363, Iran


In this paper, we first introduce the notion of $c$-affine functions for $c> 0$. 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.


Volume 7, Issue 1 - Serial Number 1
January 2016
Pages 15-20
  • Receive Date: 11 December 2013
  • Revise Date: 03 November 2014
  • Accept Date: 27 June 2015