SOME NEW OSTROWSKI TYPE INEQUALITIES FOR GENERALIZED (s, m, ϕ)-PREINVEX FUNCTIONS VIA FRACTIONAL INTEGRAL OPERATORS

Authors

DOI:

https://doi.org/10.37560/matbil17200074k

Keywords:

Ostrowski type inequality, Hölder’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 \((s, m, \varphi)\)-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. Some applications to special means are also given.

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Published

2017-01-01

Issue

Vol. 41 No. 2 (2017): 41 (LXVII) 2 (2017)

Section

Articles

License

Copyright (c) 2017 Matematichki Bilten

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

How to Cite

[1]
A. Kashuri and R. Liko, “SOME NEW OSTROWSKI TYPE INEQUALITIES FOR GENERALIZED (s, m, ϕ)-PREINVEX FUNCTIONS VIA FRACTIONAL INTEGRAL OPERATORS”, Mat. Bilt., vol. 41, no. 2, pp. 74–89, Jan. 2017, doi: 10.37560/matbil17200074k.