In this paper, certain Hermite–Jensen–Mercer type inequalities are proved via conformable integrals of arbitrary order. We establish some different and new fractional Hermite–Hadamard–Mercer type inequalities for a differentiable function f whose derivatives in the absolute values are convex.

中文翻译：

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符合积分的Hermite–Jensen–Mercer型不等式和相关结果

在本文中，通过任意阶的可合积分证明了某些Hermite-Jensen-Mercer型不等式。我们为微分函数f建立了一些不同的新的分数Hermite-Hadamard-Mercer型不等式，其绝对值的导数是凸的。