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

Authors

  • Artion Kashuri University of Vlora "Ismail Qemali", Department of Mathematics, Faculty of Technical Science, 9400, Albania
  • Rozana Liko University of Vlora "Ismail Qemali", Department of Mathematics, Faculty of Technical Science, 9400, Albania

DOI:

https://doi.org/10.24193/subbmath.2018.2.01

Keywords:

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.

Abstract

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.

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Published

2018-06-17

Issue

Section

Articles