The purpose of this work is to present the right Riemann–Liouville fractional integral version of Hermite–Hadamard inequality via a relatively new method through the Green’s function approach. In the process, some identities are established. Using these identities, we obtain loads of new results for functions whose second derivative is convex, monotone, and concave in absolute value. We anticipate that the method outlined in this article will stimulate further investigation in this direction.

中文翻译：

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格林函数推导的右黎曼–利维尔分数阶厄米–哈达玛型不等式

这项工作的目的是通过格林函数方法，通过一种相对较新的方法，给出正确的Hermite-Hadamard不等式的Riemann-Liouville分式积分形式。在此过程中，将建立一些身份。使用这些恒等式，我们获得了一些函数的新结果，这些函数的二阶导数的绝对值均为凸，单调和凹。我们预计本文中概述的方法将激发朝这个方向进行进一步的研究。