This paper gives some novel generalizations by considering the generalized conformable fractional integrals operator for reverse Minkowski type and reverse Hölder type inequalities. Furthermore, novel consequences connected with this inequality, together with statements and confirmation of various variants for the advocated generalized conformable fractional integral operator, are elaborated. Moreover, our derived results are provided to show comparisons of convergence between old and modified operators towards a function under different parameters and conditions. The numerical approximations of our consequence have several utilities in applied sciences and fractional integro-differential equations.

中文翻译：

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新的广义逆Minkowski以及涉及广义分数阶适形积分的相关积分不等式

本文通过考虑反向Minkowski型和反向Hölder型不等式的广义相容分数阶算子，给出了一些新颖的概括。此外，详细阐述了与该不等式有关的新颖结果，以及对主张的广义一致分数分数积分算子的各种变式的陈述和确认。此外，我们提供的推导结果显示了在不同参数和条件下，旧的和修改的算子对函数的收敛性的比较。我们的结果的数值近似在应用科学和分数积分微分方程中具有多种用途。