engleski

Weighted Montgomery identity for fractional integral of a function with respect to another function

We present a weighted Montgomery identity for fractional integral of a function f with respect to another function g and use it to obtain weighted Ostrowski type inequalities for fractional integrals involving functions whose first derivatives belong to Lp spaces. These inequalities are generally sharp in case p > 1 and best possible in case p = 1. Applications for the Hadamard fractional integrals are given.

Fractional integral; Montgomery identity; Ostrowski inequality

nije evidentirano