Exploring the companion of Ostrowskis inequalities via local fractional integrals
This paper investigates the companion of Ostrowski's inequality in the framework of fractal sets. First, a new identity related to local fractional integrals is introduced, serving as the foundation for establishing a set of inequalities applicable to functions with generalized $s$-convex a...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
New York Business Global LLC
2023
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| Online Access: | http://psasir.upm.edu.my/id/eprint/107875/ http://psasir.upm.edu.my/id/eprint/107875/1/4850.pdf |
| _version_ | 1848865012996636672 |
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| author | Saleh, Wedad Meftah, Badreddine Lakhdari, Abdelghani Kiliçman, Adem |
| author_facet | Saleh, Wedad Meftah, Badreddine Lakhdari, Abdelghani Kiliçman, Adem |
| author_sort | Saleh, Wedad |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | This paper investigates the companion of Ostrowski's inequality in the framework of fractal sets. First, a new identity related to local fractional integrals is introduced, serving as the foundation for establishing a set of inequalities applicable to functions with generalized $s$-convex and $s$-concave derivatives. An illustrative example is presented to validate the obtained results, demonstrating their accuracy. Additionally, the paper discusses several practical applications, highlighting the significance of the established inequalities. The research presented in this paper contributes to the growing field of studying functions on fractal sets, which has attracted considerable interest from scientists and engineers. |
| first_indexed | 2025-11-15T13:57:57Z |
| format | Article |
| id | upm-107875 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T13:57:57Z |
| publishDate | 2023 |
| publisher | New York Business Global LLC |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-1078752024-07-15T03:13:10Z http://psasir.upm.edu.my/id/eprint/107875/ Exploring the companion of Ostrowskis inequalities via local fractional integrals Saleh, Wedad Meftah, Badreddine Lakhdari, Abdelghani Kiliçman, Adem This paper investigates the companion of Ostrowski's inequality in the framework of fractal sets. First, a new identity related to local fractional integrals is introduced, serving as the foundation for establishing a set of inequalities applicable to functions with generalized $s$-convex and $s$-concave derivatives. An illustrative example is presented to validate the obtained results, demonstrating their accuracy. Additionally, the paper discusses several practical applications, highlighting the significance of the established inequalities. The research presented in this paper contributes to the growing field of studying functions on fractal sets, which has attracted considerable interest from scientists and engineers. New York Business Global LLC 2023-07-30 Article PeerReviewed text en http://psasir.upm.edu.my/id/eprint/107875/1/4850.pdf Saleh, Wedad and Meftah, Badreddine and Lakhdari, Abdelghani and Kiliçman, Adem (2023) Exploring the companion of Ostrowskis inequalities via local fractional integrals. European Journal of Pure and Applied Mathematics, 16 (3). pp. 1359-1380. ISSN 1307-5543 https://ejpam.com/index.php/ejpam/article/view/4850 10.29020/nybg.ejpam.v16i3.4850 |
| spellingShingle | Saleh, Wedad Meftah, Badreddine Lakhdari, Abdelghani Kiliçman, Adem Exploring the companion of Ostrowskis inequalities via local fractional integrals |
| title | Exploring the companion of Ostrowskis inequalities via local fractional integrals |
| title_full | Exploring the companion of Ostrowskis inequalities via local fractional integrals |
| title_fullStr | Exploring the companion of Ostrowskis inequalities via local fractional integrals |
| title_full_unstemmed | Exploring the companion of Ostrowskis inequalities via local fractional integrals |
| title_short | Exploring the companion of Ostrowskis inequalities via local fractional integrals |
| title_sort | exploring the companion of ostrowskis inequalities via local fractional integrals |
| url | http://psasir.upm.edu.my/id/eprint/107875/ http://psasir.upm.edu.my/id/eprint/107875/ http://psasir.upm.edu.my/id/eprint/107875/ http://psasir.upm.edu.my/id/eprint/107875/1/4850.pdf |