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Generalized Hermite-Hadamard type inequalities involving fractional integral operators

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In this article, a new general integral identity involving generalized fractional integral operators is established. With the help of this identity new Hermite-Hadamard type inequalities are obtained for functions whose… Click to show full abstract

In this article, a new general integral identity involving generalized fractional integral operators is established. With the help of this identity new Hermite-Hadamard type inequalities are obtained for functions whose absolute values of derivatives are convex. As a consequence, the main results of this paper generalize the existing Hermite-Hadamard type inequalities involving the Riemann-Liouville fractional integral.

Keywords: hadamard type; integral operators; fractional integral; hermite hadamard; type inequalities

Journal Title: Journal of Inequalities and Applications
Year Published: 2017

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