Montgomery Identity and Ostrowski Type Inequalities for Riemann-Liouville Fractional Integral

الملخص EN

We present Montgomery identity for Riemann-Liouville fractional integral as well as for fractional integral of a function f with respect to another function g .

We further use them to obtain Ostrowski type inequalities involving functions whose first derivatives belong to L p spaces.

These inequalities are generally sharp in case p > 1 and the best possible in case p = 1 .

Application for Hadamard fractional integrals is given.