In this paper, we introduce $(h_{1},h_{2})$ -preinvex interval-valued function and establish the Hermite–Hadamard inequality for preinvex interval-valued functions by using interval-valued Riemann–Liouville fractional integrals. We obtain Hermite–Hadamard-type inequalities for the product of two interval-valued functions. Further, some examples are given to confirm our theoretical results.

中文翻译：

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基于黎曼-刘维尔分数积分的区间值前凸函数的 Hermite-Hadamard 型不等式

在本文中，我们引入了$(h_{1},h_{2})$ -preinvex 区间值函数，并利用区间值Riemann-Liouville 分数积分建立了preinvex 区间值函数的Hermite-Hadamard 不等式。我们获得了两个区间值函数的乘积的 Hermite-Hadamard 型不等式。此外，还给出了一些例子来证实我们的理论结果。