engleski

Montgomery identity and Ostrowski type inequalities for Riemann-Liouville fractional integral

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 belongs to L_p spaces. These inequalities are generally sharp in case p>1 and best possible in case p=1. Application for Hadamard fractional integrals are given.

Fractional integral; Ostrowski inequality

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