Some Generalized Inequalities Involving Local Fractional Integrals and their Applications for Random Variables and Numerical Integration

Abstract

We establish generalized pre-Gruss inequality for local fractional integrals. Then, we obtain some inequalities involving generalized expectation, p-moment, variance and cumulative distribution function of random variable whose probability density function is bounded. Finally, some applications for generalized Ostrowski-Gruss inequality in numerical integration are given.