شماره ركورد كنفرانس :
3502
عنوان مقاله :
On the quadratic support of strongly convex functions
Author/Authors :
S Abbaszadeh School of Mathematics - Semnan University
كليدواژه :
strongly convex function , Hahn–Banach theorem , c-affine functions , quadratic support
عنوان كنفرانس :
چهل و پنجمين كنفرانس رياضي ايران
چكيده لاتين :
In this paper, we rst introduce the notion of c-ane function 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.