Ostrowski Type Fractional Integral Operators for Generalized Beta $(r,g)$-Preinvex Functions

Document Type : Original Article

Authors

Artion Kashuri ¹

Rozana Liko ¹

Tingsong Du ²

¹ Department of Mathematics, Faculty of Technical Science, University ”Ismail Qemali”, Vlora, Albania.

² College of Science, China Three Gorges University, 443002, Yichang, P. R. China.

10.22034/kjm.2017.54680

Abstract

In the present paper, the notion of generalized beta $(r,g)$-preinvex function is applied for establish some new generalizations of Ostrowski type inequalities via fractional integral operators. These results not only extend the results appeared in the literature [43] but also provide new estimates on these type. At the end, some applications to special means are given.

Keywords

Ostrowski’ type inequality

Hölder's inequality

Minkowski's inequality

power mean inequality

Riemann-Liouville fractional integral

fractional integral operator

$s$-convex function in the second sense

$m$-invex

Subjects

• 26 Real functions

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