Citation
Almutairi, Ohud and Kilicman, Adem
(2019)
New fractional inequalities of midpoint type via s-convexity and their application.
Advances in Difference Equations, 2019.
art. no. 267.
pp. 1-19.
ISSN 1687-1839; ESSN: 1687-1847
Abstract
In this study, we introduced new integral inequalities of Hermite–Hadamard type via s-convexity and studied their properties. The absolute form of the first and second derivatives for the new inequalities is considered to be s-convex. As an application, the inequalities were applied to the special means of real numbers. We give the error estimates for the midpoint formula.
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Additional Metadata
| Item Type: | Article |
|---|---|
| Divisions: | Institute for Mathematical Research |
| DOI Number: | https://doi.org/10.1186/s13660-019-2215-3 |
| Publisher: | BioMed Central |
| Keywords: | Convex functions; Hermite–Hadamard inequality; Hölder’s inequality; Special means; Midpoint formula |
| Depositing User: | Ms. Nida Hidayati Ghazali |
| Date Deposited: | 30 Jan 2021 18:37 |
| Last Modified: | 30 Jan 2021 18:37 |
| Altmetrics: | http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.1186/s13660-019-2215-3 |
| URI: | http://psasir.upm.edu.my/id/eprint/81468 |
| Statistic Details: | View Download Statistic |
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