ON GENERALIZED FRACTIONAL INTEGRAL INEQUALITIES FOR FUNCTIONS OF BOUNDED VARIATION WITH TWO VARIABLES

Authors

DOI:

https://doi.org/10.37560/matbil21451049k

Keywords:

Function of bounded variation, Ostrowski inequality, generalized fractional integral

Abstract

In this paper, authors establish some identities for generalized fractional integrals. Utilizing these identities, some Ostrowski and Midpoint type inequalities for generalized fractional integrals for functions of bounded variation with two variables are obtained. Moreover, some new inequalities involving \(k\)-Riemann--Liouville fractional integrals are presented as special cases of our main results.

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Published

2021-05-29

Issue

Vol. 45 No. 1 (2021): 45 (LXXI) 1 (2021)

Section

Articles

License

Copyright (c) 2021 Matematichki Bilten

Creative Commons License

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

How to Cite

[1]
A. Kashuri, H. Budak, R. Liko, M. A. Ali, and K. Özçelik, “ON GENERALIZED FRACTIONAL INTEGRAL INEQUALITIES FOR FUNCTIONS OF BOUNDED VARIATION WITH TWO VARIABLES”, Mat. Bilt., vol. 45, no. 1, pp. 49–69, May 2021, doi: 10.37560/matbil21451049k.