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

Ohud Almutairi and Adem Kılıçman
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Ohud Almutairi: Department of Mathematics, University of Hafr Al-Batin, Hafr Al-Batin 31991, Saudi Arabia
Adem Kılıçman: Department of Mathematics, Putra University of Malaysia, Serdang 43400, Malaysia

Mathematics, 2020, vol. 8, issue 1, 1-11

Abstract: 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.

Keywords: Katugampola fractional integrals; s-convex function; Hermite–Hadamard inequality; fractal space (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2020
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (2)

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