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Integral Inequalities for s-Convexity via Generalized Fractional Integrals on Fractal Sets

by Ohud Almutairi 1,† and Adem Kılıçman 2,*,†
1
Department of Mathematics, University of Hafr Al-Batin, Hafr Al-Batin 31991, Saudi Arabia
2
Department of Mathematics, Putra University of Malaysia, Serdang 43400, Malaysia
*
Author to whom correspondence should be addressed.
These authors contributed equally to this work.
Mathematics 2020, 8(1), 53; https://doi.org/10.3390/math8010053
Received: 20 November 2019 / Revised: 23 December 2019 / Accepted: 29 December 2019 / Published: 1 January 2020
In this study, we establish new integral inequalities of the Hermite–Hadamard type for s-convexity via the Katugampola fractional integral. This generalizes the Hadamard fractional integrals and Riemann–Liouville into a single form. We show that the new integral inequalities of Hermite–Hadamard type can be obtained via the Riemann–Liouville fractional integral. Finally, we give some applications to special means. View Full-Text
Keywords: Katugampola fractional integrals; s-convex function; Hermite–Hadamard inequality; fractal space Katugampola fractional integrals; s-convex function; Hermite–Hadamard inequality; fractal space
MDPI and ACS Style

Almutairi, O.; Kılıçman, A. Integral Inequalities for s-Convexity via Generalized Fractional Integrals on Fractal Sets. Mathematics 2020, 8, 53.

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