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. & Eshaghi Gordji, M. (2016). On the quadratic support of strongly convex functions. International Journal of Nonlinear Analysis and Applications, 7(1), 15–20. https://doi.org/10.22075/ijnaa.2015.273
MLA
Abbaszadeh, S., & 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
Abbaszadeh, S. & 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
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