A specific type of convex functions is discussed. By examining this, we investigate new Hermite–Hadamard type integral inequalities for the Riemann–Liouville fractional operators involving the generalized incomplete gamma functions. Finally, we expose some examples of special functions to support the usefulness and effectiveness of our results.

中文翻译：

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涉及不完全伽马函数的埃尔米-哈达玛型分数阶新不等式

讨论了特定类型的凸函数。通过检查这一点，我们研究了涉及广义不完全伽马函数的黎曼-利维尔分数阶算子的新的埃尔米-哈达玛型积分不等式。最后，我们提供一些特殊功能的示例，以支持结果的有用性和有效性。