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arXiv · 1609.04774

Hermite-Hadamard and Hermite-Hadamard-Fej\'er type Inequalities for Generalized Fractional Integrals

Hua Chen·Udita N. Katugampola
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Abstract

In this paper we obtain the Hermite-Hadamard and Hermite-Hadamard-Fej\'er type inequalities for fractional integrals which generalize the two familiar fractional integrals namely, the Riemann-Liouville and the Hadamard fractional integrals into a single form. We prove that, in most cases, we obtain the Riemann--Liouville and the Hadamard equivalence just by taking limits when a parameter $\rho \rightarrow 1$ and $\rho \rightarrow 0^+$, respectively.

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Hua Chen, Udita N. Katugampola. 2016-09-11. Hermite-Hadamard and Hermite-Hadamard-Fej\'er type Inequalities for Generalized Fractional Integrals. https://doi.org/10.1016/j.jmaa.2016.09.018

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