An Approach to Generalized (η1,η2)-Convex Functions via Local Fractional Calculus and some Applications

The purpose of this paper is to study a generalization of [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 [Formula: see text]-convex functions. Among other results, we obtain some Fejér-type inequalities for this class of functions. As applications, we present some inequalities with generalized probability density functions and generalized special means.