In this paper, we first introduce the notion of -affine functions for . 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 -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. International Journal of Nonlinear Analysis and Applications, 2016; 7(1): 15-20. doi: 10.22075/ijnaa.2015.273