This paper studies fractional integral inequalities for fractional integral operators containing extended Mittag-Leffler (ML) functions. These inequalities provide upper bounds of left- and right-sided fractional integrals for $(\alpha, h-m)$ convex functions. A generalized fractional Hadamard inequality is established. All the results hold for h-convex, $(h, m)$ -convex, $(\alpha, m)$ -convex, $(s, m)$ -convex, and associated functions.

中文翻译：

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通过凸研究带Mittag-Leffler函数的分数积分不等式

本文研究包含扩展Mittag-Leffler（ML）函数的分数积分算子的分数积分不等式。这些不等式为$（\ alpha，hm）$凸函数提供了左侧和右侧分数积分的上限。建立了广义分数Hadamard不等式。所有结果都适用于h凸，$（h，m）$-凸，$（\ alpha，m）$-凸，$（s，m）$-凸以及相关函数。