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On Some Generalized Fractional Integral Inequalities for p-Convex Functions

Department of Mathematics, Faculty of Science and Arts, Ordu University, 52200 Ordu, Turkey
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Fractal Fract 2019, 3(2), 29; https://doi.org/10.3390/fractalfract3020029
Received: 15 April 2019 / Revised: 6 May 2019 / Accepted: 8 May 2019 / Published: 20 May 2019
In this paper, firstly we have established a new generalization of Hermite–Hadamard inequality via p-convex function and fractional integral operators which generalize the Riemann–Liouville fractional integral operators introduced by Raina, Lun and Agarwal. Secondly, we proved a new identity involving this generalized fractional integral operators. Then, by using this identity, a new generalization of Hermite–Hadamard type inequalities for fractional integral are obtained. View Full-Text
Keywords: p-convex function; Hermite–Hadamard inequality; fractional integral operator p-convex function; Hermite–Hadamard inequality; fractional integral operator
MDPI and ACS Style

Salaş, S.; Erdaş, Y.; Toplu, T.; Set, E. On Some Generalized Fractional Integral Inequalities for p-Convex Functions. Fractal Fract 2019, 3, 29.

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