New fractional inequalities of midpoint type via s-convexity and their application
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 m...
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| Format: | Article |
| Language: | English |
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BioMed Central
2019
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| Online Access: | http://psasir.upm.edu.my/id/eprint/81468/ http://psasir.upm.edu.my/id/eprint/81468/1/New%20fractional%20inequalities%20of%20midpoint%20type%20via%20s-convexity%20and%20their%20application.pdf |
| _version_ | 1848859111345618944 |
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| author | Almutairi, Ohud Kilicman, Adem |
| author_facet | Almutairi, Ohud Kilicman, Adem |
| author_sort | Almutairi, Ohud |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | 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. |
| first_indexed | 2025-11-15T12:24:09Z |
| format | Article |
| id | upm-81468 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T12:24:09Z |
| publishDate | 2019 |
| publisher | BioMed Central |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-814682021-01-30T18:37:11Z http://psasir.upm.edu.my/id/eprint/81468/ New fractional inequalities of midpoint type via s-convexity and their application Almutairi, Ohud Kilicman, Adem 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. BioMed Central 2019 Article PeerReviewed text en http://psasir.upm.edu.my/id/eprint/81468/1/New%20fractional%20inequalities%20of%20midpoint%20type%20via%20s-convexity%20and%20their%20application.pdf 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 https://link.springer.com/article/10.1186/s13660-019-2215-3 10.1186/s13660-019-2215-3 |
| spellingShingle | Almutairi, Ohud Kilicman, Adem New fractional inequalities of midpoint type via s-convexity and their application |
| title | New fractional inequalities of midpoint type via s-convexity and their application |
| title_full | New fractional inequalities of midpoint type via s-convexity and their application |
| title_fullStr | New fractional inequalities of midpoint type via s-convexity and their application |
| title_full_unstemmed | New fractional inequalities of midpoint type via s-convexity and their application |
| title_short | New fractional inequalities of midpoint type via s-convexity and their application |
| title_sort | new fractional inequalities of midpoint type via s-convexity and their application |
| url | http://psasir.upm.edu.my/id/eprint/81468/ http://psasir.upm.edu.my/id/eprint/81468/ http://psasir.upm.edu.my/id/eprint/81468/ http://psasir.upm.edu.my/id/eprint/81468/1/New%20fractional%20inequalities%20of%20midpoint%20type%20via%20s-convexity%20and%20their%20application.pdf |