Some properties of a class of $(F,E)$-$G$ generalized convex functions

Abstract

In this paper, firstly, a new class of $(F,E)$-$G$ generalized convex functions, which is the generalization of $F$-$G$ generalized convex functions, is introduced. Secondly, some properties of $(F,E)$-$G$ generalized convex functions are obtained. Finally, some relations between $(F,E)$-$G$ generalized convex functions and other generalizations of convex functions are established.