与广义分数阶积分相关的Hermite-Hadamard型不等式研究
Study on Hermite-Hadamard Inequalities Related to Generalized Fractional Integrals
摘要: 论文建立了h-凸函数情形下与广义分数阶积分相关的中点型Hermite-Hadamard不等式，并得到了与此不等式相关的若干梯形不等式误差估计。所得结果推广了Riemann-Liouville分数阶积分和Hadamard分数阶积分等一些重要分数阶积分的已知结果。
Abstract: Hermite-Hadamard inequalities for generalized fractional integrals via h-convex functions are established in the paper, and some error estimates related to these inequalities are also obtained. These conclusions generalize some known results about Riemann-Liouville fractional integral, Hadamard fractional integral, and so on.
文章引用：杨仕哲, 韩家宜, 干镒柯. 与广义分数阶积分相关的Hermite-Hadamard型不等式研究[J]. 理论数学, 2025, 15(7): 7-14. https://doi.org/10.12677/pm.2025.157199

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