Open Access
Subscription Access
Ostrowski type fractional integral operators for generalized (r;s,m,φ)-preinvex functions
Abstract
In the present paper, the notion of generalized (r;s,m,φ)-preinvex
function is applied to 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.
function is applied to 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.
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.
DOI: http://dx.doi.org/10.14510%2Flm-ns.v0i0.1409