Title of article :
On cubic convex functions and applications in information theory
Author/Authors :
Dehghanian ، Mehdi Department of Mathematics - Sirjan University of Technology , Sayyari ، Yamin Department of Mathematics - Sirjan University of Technology
Abstract :
In this paper, we introduce the cubic convex function and investigate Jensen type inequality, Fejér-Hermite-Hadamard type inequality and Mercer type inequality for cubic convex functions. Also, we give some applications in means and information theory by applying those inequalities.
Keywords :
cubic convex function , entropy , Fejér-Hermite-Hadamard inequality , Jensens inequality , Mercer inequality
Journal title :
International Journal of Nonlinear Analysis and Applications
Journal title :
International Journal of Nonlinear Analysis and Applications