On a Generalization of Strongly $\eta$-Convex Functions via Fractal Sets

Abstract

The purpose of this paper is to study a generalization of strongly $\eta$-convex functions using the fractal calculus developed by Yang \cite{Yang}, namely generalized strongly $\eta$-convex function. Among other results, we obtain some Hermite-Hadamard and Fej\'er type inequalities for this class of functions.