In this paper, we introduce a new approach on fractional integration, which generalizes the Riemann-Liouville fractional integral. We prove some properties for this new approach. We also establish some new integral inequalities using this new fractional integration.
In this paper, we obtain some new Ostrowski type inequalities andČebyšev type inequalities for functions whose second derivatives absolute value are convex and second derivatives belongs to L p spaces. Applications to a composite quadrature rule, to probability density functions, and to special means are also given.
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