SOME NEW OSTROWSKI TYPE FRACTIONAL INTEGRAL INEQUALITIES FOR BETA (r, g)-PREINVEX FUNCTIONS VIA CAPUTO k-FRACTIONAL DERIVATIVES

Authors

DOI:

https://doi.org/10.37560/matbil1190047

Keywords:

Ostrowski type inequality, Hölder inequality, Minkowski inequality, power mean inequality, \(s\)-convex function in the second sense, \(m\)-invex

Abstract

In the present paper, the notion of beta \((r,g)\)-preinvex function is applied to establish some new generalizations of Ostrowski type integral inequalities via Caputo \(k\)-fractional derivatives.

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Published

2019-01-01

Issue

Vol. 43 No. 1 (2019): 43 (LXIX) 1 (2019)

Section

Articles

License

Copyright (c) 2019 Matematichki Bilten

Creative Commons License

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

How to Cite

[1]
A. Kashuri, R. Liko, and T.-S. Du, “SOME NEW OSTROWSKI TYPE FRACTIONAL INTEGRAL INEQUALITIES FOR BETA (r, g)-PREINVEX FUNCTIONS VIA CAPUTO k-FRACTIONAL DERIVATIVES”, Mat. Bilt., vol. 43, no. 1, pp. 47–64, Jan. 2019, doi: 10.37560/matbil1190047.