Some integral inequalities for h-Godunova-Levin preinvexity
In this study, we define new classes of convexity called h-Godunova–Levin and h-Godunova–Levin preinvexity, through which some new inequalities of Hermite–Hadamard type are established. These new classes are the generalization of several known convexities including the s-convex, P-function, and Godu...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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MDPI
2019
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| Online Access: | http://psasir.upm.edu.my/id/eprint/38201/ http://psasir.upm.edu.my/id/eprint/38201/1/38201.pdf |
| _version_ | 1848848813793476608 |
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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 define new classes of convexity called h-Godunova–Levin and h-Godunova–Levin preinvexity, through which some new inequalities of Hermite–Hadamard type are established. These new classes are the generalization of several known convexities including the s-convex, P-function, and Godunova–Levin. Further, the properties of the h-Godunova–Levin function are also discussed. Meanwhile, the applications of h-Godunova–Levin Preinvex function are given. |
| first_indexed | 2025-11-15T09:40:28Z |
| format | Article |
| id | upm-38201 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T09:40:28Z |
| publishDate | 2019 |
| publisher | MDPI |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-382012020-05-04T15:52:55Z http://psasir.upm.edu.my/id/eprint/38201/ Some integral inequalities for h-Godunova-Levin preinvexity Almutairi, Ohud Kilicman, Adem In this study, we define new classes of convexity called h-Godunova–Levin and h-Godunova–Levin preinvexity, through which some new inequalities of Hermite–Hadamard type are established. These new classes are the generalization of several known convexities including the s-convex, P-function, and Godunova–Levin. Further, the properties of the h-Godunova–Levin function are also discussed. Meanwhile, the applications of h-Godunova–Levin Preinvex function are given. MDPI 2019 Article PeerReviewed text en http://psasir.upm.edu.my/id/eprint/38201/1/38201.pdf Almutairi, Ohud and Kilicman, Adem (2019) Some integral inequalities for h-Godunova-Levin preinvexity. Symmetry, 11 (12). art. no. 1500. pp. 1-10. ISSN 2073-8994 https://www.mdpi.com/2073-8994/11/12/1500 10.3390/sym11121500 |
| spellingShingle | Almutairi, Ohud Kilicman, Adem Some integral inequalities for h-Godunova-Levin preinvexity |
| title | Some integral inequalities for h-Godunova-Levin preinvexity |
| title_full | Some integral inequalities for h-Godunova-Levin preinvexity |
| title_fullStr | Some integral inequalities for h-Godunova-Levin preinvexity |
| title_full_unstemmed | Some integral inequalities for h-Godunova-Levin preinvexity |
| title_short | Some integral inequalities for h-Godunova-Levin preinvexity |
| title_sort | some integral inequalities for h-godunova-levin preinvexity |
| url | http://psasir.upm.edu.my/id/eprint/38201/ http://psasir.upm.edu.my/id/eprint/38201/ http://psasir.upm.edu.my/id/eprint/38201/ http://psasir.upm.edu.my/id/eprint/38201/1/38201.pdf |