Ostrowski type fractional integral operators for generalized (r;g,s,m,ϕ)-preinvex functions

Artion Kashuri, Rozana Liko


In the present paper, the notion of generalized (r;g,s,m,\varphi)-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 (see [1]) but also provide new estimates on these type. At the end, some applications to special means are given.


Ostrowski type inequality; Holder's inequality; Minkowski's inequality; power mean inequality; Riemann-Liouville fractional integral; fractional integral operator; s-convex function in the second sense; m-invex.

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DOI: http://dx.doi.org/10.24193/subbmath.2018.2.01


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