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Generalized Hermite-Hadamard type inequalities involving fractional integral operators

机译:涉及分数积分算子的广义Hermite-Hadamard型不等式

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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 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.
机译:在本文中,建立了一个涉及广义分数积分算子的新的一般积分恒等式。借助于这种同一性,对于导数的绝对值为凸的函数,获得了新的Hermite-Hadamard型不等式。结果,本文的主要结果概括了涉及Riemann-Liouville分数积分的现有Hermite-Hadamard型不等式。

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