论文标题

HERMITE-HADAMARD类型的分数积分不平等,用于单调函数

Fractional integral inequalities of Hermite-Hadamard type for convex functions with respect to a monotone function

论文作者

Mohammed, Pshtiwan Othman

论文摘要

在文献中,Hermite的左侧 - Hadamard的不平等现象称为中点类型的不平等。在本文中,我们获得了Riemann类型的新的积分不平等现象,用于Riemann-Liouville分数积分的凸功能相对于增加功能。由此产生的不平等现象概括了一些近期的古典整体不平等和RIEMANN-LIOUVILL-LIOUVILL分数积分不平等现象。最后,我们工作的应用是通过实际数字的已知特殊功能来证明的。

In the literature, the left-side of Hermite--Hadamard's inequality is called a midpoint type inequality. In this article, we obtain new integral inequalities of midpoint type for Riemann--Liouville fractional integrals of convex functions with respect to increasing functions. The resulting inequalities generalize some recent classical integral inequalities and Riemann--Liouville fractional integral inequalities established in earlier works. Finally, applications of our work are demonstrated via the known special functions of real numbers.

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