New Inequalities for Local Fractional Integrals Pertaining Generalized Strongly Convex Mappings

Abstract

In this paper, we rst obtain a generalized integral identity for twice local fractional dierentiable mappings on fractal sets α (0 < α ≤ 1) of real line numbers. Then, using twice local fractional dierentiable mappings that are in absolute value at certain powers generalized strongly convex, we obtain some new estimates on generalization of trapezium-like inequalities. We also discuss some new special cases which can be deduced from our main results.