On Some Fractional Integral Inequalities of Hermite-Hadamard Type for $r$-Preinvex Functions

Document Type : Original Article

Authors

Abdullah Akkurt ¹

Hüseyin Yildirim ²

¹ Department of Mathematics, Faculty of Science and Arts, University of Kahramanmaraş Sütçü İmam, 46100, Kahramanmaraş, Turkey.

² Department of Mathematics, Faculty of Science and Arts, University of Kahramanmaraş Sütçü İmam, 46100, Kahramanmaraş, Turkey.

10.22034/kjm.2016.40640

Abstract

In this paper, we prove Hermite-Hadamard type inequalities for $r$-preinvex
functions via fractional integrals. The results presented here would provide
extensions of those given in earlier works.

Keywords

integral inequalities

Fractional integrals

Hermite-Hadamard inequality

preinvex functions

Subjects

• 26 Real functions

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