涉及分数阶积分算子的广义Hermite-Hadamard型不等式
Generalized Hermite-Hadamard type inequalities involving fractional integral operators.
作者信息
Set Erhan, Noor Muhammed Aslam, Awan Muhammed Uzair, Gözpinar Abdurrahman
机构信息
Department of Mathematics, Faculty of Science and Arts, Ordu University, Ordu, Turkey.
Department of Mathematics, King Saud University, Riyadh, Saudi Arabia.
出版信息
J Inequal Appl. 2017;2017(1):169. doi: 10.1186/s13660-017-1444-6. Epub 2017 Jul 19.
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.
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。借助该恒等式，对于导数绝对值为凸函数的函数，得到了新的Hermite-Hadamard型不等式。因此，本文的主要结果推广了现有的涉及Riemann-Liouville分数积分的Hermite-Hadamard型不等式。
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