Abstract The primary objective of this research is to establish the generalized fractional integral inequalities of Hermite-Hadamard-type for MT-convex functions and to explore some new Hermite-Hadamard-type inequalities in a form of Riemann-Liouville fractional integrals as well as classical integrals. It is worth mentioning that our work generalizes and extends the results appeared in the literature.

中文翻译：

---

凸函数的 Hermite-Hadamard 型广义分数式积分不等式

摘要 本研究的主要目的是建立 MT 凸函数的 Hermite-Hadamard 型广义分数式积分不等式，并探索一些新的 Hermite-Hadamard 型不等式，其形式为 Riemann-Liouville 分数式积分以及经典的积分。值得一提的是，我们的工作对文献中出现的结果进行了概括和扩展。