The main objective of this paper is to obtain the fractional integral operator inequalities which provide bounds of the sum of these operators at an arbitrary point. These inequalities are derived for -exponentially convex functions. Furthermore, a Hadamard inequality is obtained for fractional integrals by using exponentially symmetric functions. The results of this paper contain several such consequences for known fractional integrals and functions which are convex, exponentially convex, and -convex.

中文翻译：

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通过指数-凸函数包含Mittag-Leffler函数的分数积分算子的有界性

本文的主要目的是获得分数积分算子不等式，该不等式提供这些算子之和在任意点的和的边界。这些不等式是针对-指数凸函数导出的。此外，通过使用指数对称函数获得分数积分的Hadamard不等式。本文的结果包含了已知分数阶积分和函数（凸，指数凸和-凸）的几种此类结果。