On cubic convex functions and applications in information theory

Document Type : Research Paper


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



‎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.


Articles in Press, Corrected Proof
Available Online from 23 February 2023
  • Receive Date: 02 November 2022
  • Revise Date: 06 February 2023
  • Accept Date: 11 February 2023
  • First Publish Date: 23 February 2023