%0 Journal Article %T Ostrowski Type Fractional Integral Operators for Generalized Beta $(r,g)$-Preinvex Functions %J Khayyam Journal of Mathematics %I Department of Pure Mathematics, Ferdowsi University of Mashhad (in cooperation with the Center of Excellence in Analysis on Algebraic Structures) %Z 2423-4788 %A Kashuri, Artion %A Liko, Rozana %A Du, Tingsong %D 2018 %\ 01/01/2018 %V 4 %N 1 %P 39-58 %! Ostrowski Type Fractional Integral Operators for Generalized Beta $(r,g)$-Preinvex Functions %K Ostrowski’ type inequality %K Hölder's inequality %K Minkowski's inequality %K power mean inequality %K Riemann-Liouville fractional integral %K fractional integral operator %K $s$-convex function in the second sense %K $m$-invex %R 10.22034/kjm.2017.54680 %X 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. %U https://www.kjm-math.org/article_54680_ff16555c24403f6b3496ce50c6fd8bbf.pdf