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.
Abbaszadeh,S and Eshaghi Gordji,M . (2016). On the quadratic support of strongly convex functions. International Journal of Nonlinear Analysis and Applications, 7(1), 15-20. doi: 10.22075/ijnaa.2015.273
MLA
Abbaszadeh,S , and Eshaghi Gordji,M . "On the quadratic support of strongly convex functions", International Journal of Nonlinear Analysis and Applications, 7, 1, 2016, 15-20. doi: 10.22075/ijnaa.2015.273
HARVARD
Abbaszadeh S, Eshaghi Gordji M. (2016). 'On the quadratic support of strongly convex functions', International Journal of Nonlinear Analysis and Applications, 7(1), pp. 15-20. doi: 10.22075/ijnaa.2015.273
CHICAGO
S Abbaszadeh and M Eshaghi Gordji, "On the quadratic support of strongly convex functions," International Journal of Nonlinear Analysis and Applications, 7 1 (2016): 15-20, doi: 10.22075/ijnaa.2015.273
VANCOUVER
Abbaszadeh S, Eshaghi Gordji M. On the quadratic support of strongly convex functions. IJNAA. 2016;7(1):15-20. doi: 10.22075/ijnaa.2015.273
International Journal of Nonlinear Analysis and Applications