Title of article :
On the quadratic support of strongly convex functions
Author/Authors :
Abbaszadeh, S Department of Mathematics - Faculty of Mathematics - Statistics and Computer Sciences - Semnan University, Semnan , Eshaghi Gordji, M Department of Mathematics - Faculty of Mathematics - Statistics and Computer Sciences - Semnan University, Semnan
Abstract :
In this paper, we rst introduce the notion of c-ane 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-ane. Moreover, a Hyers-Ulam stability result for strongly convex
functions is shown.
Keywords :
strongly convex function , Hahn{Banach theorem , quadratic support
Journal title :
Astroparticle Physics
