ON A GENERALIZATION OF STRONGLY η-CONVEX FUNCTIONS VIA FRACTAL SETS

The purpose of this paper is to study a generalization of strongly [Formula: see text]-convex functions using the local fractional calculus developed by Yang [Advanced Local Fractional Calculus and Its Applications (World Science Publisher, New York, 2012)], namely generalized strongly [Formula: see text]-convex function. Among other results, we obtain some Hermite–Hadamard and Fejér type inequalities for this class of functions.