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arXiv · 2005.00588

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

Pshtiwan Othman Mohammed
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Abstract

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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Pshtiwan Othman Mohammed. 2020-05-01. Fractional integral inequalities of Hermite-Hadamard type for convex functions with respect to a monotone function. https://arxiv.org/abs/2005.00588

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