We deduce a fractional integral equality for twice differentiable mappings defined on an m-invex set. By using this equality, we obtain new estimates generalizing trapezium-like inequalities for mappings whose second-order derivatives are generalized relative semi-(m, h₁,h₂)-preinvex via fractional integrals. We also discuss some new special cases that can be deduced from our main results.

中文翻译：

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分数梯形不等式涉及广义相对半-(m, h1, h2)-前凸映射在 m-凸集上

我们推导出定义在m- invex 集上的两次可微映射的分数积分等式。通过使用这种等式，我们获得了新的估计，概括了类梯形不等式的映射，其二阶导数通过分数积分推广到相对半-( m, h ₁ , h ₂ )-preinvex。我们还讨论了一些可以从我们的主要结果中推导出来的新的特殊情况。