Some New Hermite-Hadamard, Hermite-Hadamard Fejer and Weighted Hardy Type Inequalities Involving (k − p) Riemann-Liouville Fractional Integral Operator

Authors

Ankita Chandola, Amity Institute of Applied Sciences, Amity University, Uttar Pradesh, IndiaFollow
Ritu Agarwal, Malaviya National Institute of Technology, Jaipur, IndiaFollow
Rupakshi Mishra Pandey, Amity Institute of Applied Sciences, Amity University, Uttar Pradesh, IndiaFollow

Author Country (or Countries)

India

Abstract

Hermite Hadamard inequality is of immense importance due to its applications in numerical integration and in providing lower and upper limits of the functions mean value. Hardy type inequalities are useful in technical sciences. Various authors have worked for the improvement and generalizations of these inequalities. In this paper, we obtain certain new Hermite-Hadamard, Hermite- Hadamard Fejer and weighted Hardy type inequalities involving (k − p) Riemann-Liouville fractional integral operator using convex and increasing functions. Some inequalities obtained here would provide the extensions of some already known results.

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/amis/160216

Recommended Citation

Chandola, Ankita; Agarwal, Ritu; and Mishra Pandey, Rupakshi (2022) "Some New Hermite-Hadamard, Hermite-Hadamard Fejer and Weighted Hardy Type Inequalities Involving (k − p) Riemann-Liouville Fractional Integral Operator," Applied Mathematics & Information Sciences: Vol. 16: Iss. 2, Article 16.
DOI: http://dx.doi.org/10.18576/amis/160216
Available at: https://digitalcommons.aaru.edu.jo/amis/vol16/iss2/16