Mathematica Eterna
Open Access

Abstract

On Strongly m-Convex Functions

Teodoro Lara, Nelson Merentes, Roy Quintero and Edgar Rosales

The main purpose of this research is to introduce the definition of a strongly m-convex function. To achieve this goal, we generalize the well known notion of a strongly convex function by following a similar procedure to the one employed to generate the notion of functional mconvexity from the classical functional convexity. Several properties of this new class of functions are established as well as some inequalities of Jensen type in the discrete case. In the course of this study, we prove some additional and interesting results for the bigger class of m-convex functions.