Abstract

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.

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