Citation
Almutairi, Ohud and Kilicman, Adem
(2020)
Integral inequalities for s-convexity via generalized fractional integrals on fractal sets.
Mathematics, 8 (1).
pp. 1-11.
ISSN 2227-7390
Abstract
In this study, we establish new integral inequalities of the Hermite–Hadamard type for s-convexity via the Katugampola fractional integral. This generalizes the Hadamard fractional integrals and Riemann–Liouville into a single form. We show that the new integral inequalities of Hermite–Hadamard type can be obtained via the Riemann–Liouville fractional integral. Finally, we give some applications to special means.
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Additional Metadata
| Item Type: | Article |
|---|---|
| Divisions: | Faculty of Science |
| DOI Number: | https://doi.org/10.3390/math8010053 |
| Publisher: | Multidisciplinary Digital Publishing Institute |
| Keywords: | Katugampola fractional integrals; S-convex function; Hermite Hadamard inequality; Fractal space |
| Depositing User: | Ms. Nuraida Ibrahim |
| Date Deposited: | 18 Aug 2021 09:27 |
| Last Modified: | 18 Aug 2021 09:27 |
| Altmetrics: | http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.3390/math8010053 |
| URI: | http://psasir.upm.edu.my/id/eprint/89410 |
| Statistic Details: | View Download Statistic |
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