%0 Journal Article
%T On the quadratic support of strongly convex functions
%J International Journal of Nonlinear Analysis and Applications
%I Semnan University
%Z 2008-6822
%A Abbaszadeh, S.
%A Eshaghi Gordji, M
%D 2015
%\ 12/11/2015
%V 7
%N 1
%P 15-20
%! On the quadratic support of strongly convex functions
%K strongly convex function
%K Hahn-Banach theorem
%K $c$-affine functions
%K quadratic support
%R 10.22075/ijnaa.2015.273
%X 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 Hyersâ€“-Ulam stability result for strongly convex functions is shown.
%U https://ijnaa.semnan.ac.ir/article_273_368395c1469c8c8c42fa81b1d2a2a883.pdf