Ostrowski type fractional integral operators for generalized (r; g, s, m, ϕ)-preinvex functions
DOI:
https://doi.org/10.24193/subbmath.2018.2.01Keywords:
Ostrowski’ type inequality, H¨older’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, ϕ)-preinvex function is applied for establish some new generalizations of Ostrowski type in- equalities via fractional integral operators. These results not only extend the results appeared in the literature ([38]) but also provide new estimates on these type. At the end, some applications to special means are given.
Mathematics Subject Classification (2010): 26A33, 26A51, 26D07, 26D10, 26D15.
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