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, 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.Downloads
Published
2018-06-17
Issue
Section
Articles
License
This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.
Transfer of copyright agreement: When the article is accepted for publication, the authors and the representative of the coauthors, hereby agree to transfer to Studia Universitatis Babeș-Bolyai Mathematica all rights, including those pertaining to electronic forms and transmissions, under existing copyright laws, except for the following, which the authors specifically retain: the authors can use the material however they want as long as it fits the NC ND terms of the license. The authors have all rights for reuse according to the license.