The primary objective of this paper is establishing new Hermite–Hadamard-type inequalities for interval-valued coordinated functions via Riemann–Liouville-type fractional integrals. Moreover, we obtain some fractional Hermite–Hadamard-type inequalities for the product of two coordinated h-convex interval-valued functions. Our results generalize several well-known inequalities.

中文翻译：

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区间值协调函数的某些分数阶Hermite-Hadamard型不等式

本文的主要目标是通过Riemann-Liouville型分数积分为区间值协调函数建立新的Hermite-Hadamard型不等式。此外，对于两个协调的h凸区间值函数的乘积，我们获得了一些分数的Hermite-Hadamard型不等式。我们的结果概括了几个众所周知的不等式。