Citation
Meftah, Badreddine and Lakhdari, Abdelghani and Saleh, Wedad and Kilicman, Adem
(2023)
Some new fractal Milne-type integral inequalities via generalized convexity with applications.
Fractal and Fractional, 7 (2).
art. no. 166.
pp. 1-15.
ISSN 2504-3110
Abstract
This study aims to construct some new Milne-type integral inequalities for functions whose modulus of the local fractional derivatives is convex on the fractal set. To that end, we develop a novel generalized integral identity involving first-order generalized derivatives. Finally, as applications, some error estimates for the Milne-type quadrature formula and new inequalities for the generalized arithmetic and p-Logarithmic means are derived. This paper’s findings represent a significant improvement over previously published results. The paper’s ideas and formidable tools may inspire and motivate further research in this worthy and fascinating field.
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Official URL or Download Paper: https://www.mdpi.com/2504-3110/7/2/166
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Additional Metadata
| Item Type: | Article |
|---|---|
| Divisions: | Faculty of Science |
| DOI Number: | https://doi.org/10.3390/fractalfract7020166 |
| Publisher: | Multidisciplinary Digital Publishing Institute |
| Keywords: | Milneinequality; Generalized convex functions; Local fractional integrals; Local Fractional derivatives; Fractal sets |
| Depositing User: | Ms. Nur Faseha Mohd Kadim |
| Date Deposited: | 27 Aug 2024 04:48 |
| Last Modified: | 27 Aug 2024 04:48 |
| Altmetrics: | http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.3390/fractalfract7020166 |
| URI: | http://psasir.upm.edu.my/id/eprint/109195 |
| Statistic Details: | View Download Statistic |
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