Hermite–Hadamard type inequality for (E, F)-convex functions and geodesic (E, F)-convex functions

Abstract

The main aim of the present paper is to introduce geodesic ( E,F )-convex sets and geodesic ( E,F ) functions on a Riemannian manifold. Furthermore, we investigate some basic properties of these mappings. Moreover, we prove the Hadamard-type inequalities for ( E,F )-convex functions.