On cubic convex functions and applications in information theory

نویسندگان
Dehghanian, Mehdi ID 1
Sayyari, Yamin ID 2

1 Department of Mathematics, Sirjan University of Technology, Sirjan, Iran

2 Department of Mathematics, Sirjan University of Technology, Sirjan, Iran

doi
10.22075/ijnaa.2023.28880.4010
چکیده

‎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.

کلیدواژه‌ها
cubic convex‎ function, ‎entropy‎, ‎Fejér-Hermite-Hadamard inequality‎, ‎Jensens inequality‎, ‎Mercer inequality