Hermite-Hadamard Type Inequalities for Mappings whose Derivatives are s-Convex in the Second Sense via Fractional Integrals

Authors

Erhan Set ¹

M. Emin Özdemir ²

M. Zeki Sarikaya ³

Filiz Karakoç ⁴

¹ Department of Mathematics, Faculty of Science and Arts, Ordu University, Ordu, Turkey

² Ataturk University, K.K. Education Faculty, Department of Mathematics,¨ 25240, Campus, Erzurum, Turkey

³ Department of Mathematics, Faculty of Science and Arts, Duzce University,¨ Duzce, Turkey¨

⁴ Department of Mathematics, Faculty of Science and Arts, Duzce University,¨ Duzce, Turkey¨

10.22034/kjm.2015.12287

Abstract

In this paper we establish Hermite-Hadamard type inequalities for mappings whose derivatives are s−convex in the second sense and concave.

Keywords

Hermite-Hadamard type inequality

s−convex function

RiemannLiouville fractional integral

Subjects

• 26 Real functions

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