The main objective of this paper is to compute refinements of bounds of the generalized fractional integral operators containing an extended generalized Mittag-Leffler function in their kernels. The presented results also provide refinements of already known bounds of different fractional integral operators for convex, m-convex, s-convex and (s, m)-convex functions. Moreover, the refinements of some known fractional versions of the Hadamard inequality are given.

中文翻译：

---

包含Mittag-Leffler函数的分数积分算子的边界的细化和更正

本文的主要目的是计算在其内核中包含扩展的广义Mittag-Leffler函数的广义分数积分算子的边界的细化。呈现的结果还提供了凸，m-凸，s-凸和（s，m）-凸函数的不同分数积分算子的已知边界的细化。此外，给出了Hadamard不等式的一些已知分数形式的改进。