Semnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-68227120151211On the quadratic support of strongly convex functions152027310.22075/ijnaa.2015.273ENS.AbbaszadehDepartment of Mathematics, Faculty of Mathematics, Statistics and Computer Sciences, Semnan University, Semnan 35195-363, IranMEshaghi GordjiDepartment of Mathematics, Faculty of Mathematics, Statistics and Computer Sciences, Semnan University, Semnan 35195-363, IranJournal Article20131211In 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.https://ijnaa.semnan.ac.ir/article_273_368395c1469c8c8c42fa81b1d2a2a883.pdf