Some new fractional Hermite-Hadamard type inequalities for functions with co-ordinated extended (s, m)-prequasiinvex mixed partial derivatives
This article introduces extended ð Þ s; m -prequasiinvex functions on coordinates, a new form of generalized convex function. Using a previously established identity, we derive new fractional Hermite-Hadamard type integral inequalities for functions whose mixed partial derivatives belong to this n...
| Main Authors: | , , , , |
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| Format: | Article |
| Published: |
Elsevier
2023
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| Online Access: | http://psasir.upm.edu.my/id/eprint/109210/ |
| _version_ | 1848865311919439872 |
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| author | Saleh, Wedad Lakhdari, Abdelghani Kilicman, Adem Frioui, Assia Meftah, Badreddine |
| author_facet | Saleh, Wedad Lakhdari, Abdelghani Kilicman, Adem Frioui, Assia Meftah, Badreddine |
| author_sort | Saleh, Wedad |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | This article introduces extended ð Þ s; m -prequasiinvex functions on coordinates, a new
form of generalized convex function. Using a previously established identity, we derive new fractional Hermite-Hadamard type integral inequalities for functions whose mixed partial derivatives
belong to this new class of functions. The obtained results generalize existing Hermite-Hadamard
type inequalities and have numerous applications in mathematics and physics. To demonstrate
the utility of our findings, we provide examples of applications to special means, such as arithmetic,
harmonic and p-logarithmic means. |
| first_indexed | 2025-11-15T14:02:42Z |
| format | Article |
| id | upm-109210 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-15T14:02:42Z |
| publishDate | 2023 |
| publisher | Elsevier |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-1092102024-10-14T07:35:29Z http://psasir.upm.edu.my/id/eprint/109210/ Some new fractional Hermite-Hadamard type inequalities for functions with co-ordinated extended (s, m)-prequasiinvex mixed partial derivatives Saleh, Wedad Lakhdari, Abdelghani Kilicman, Adem Frioui, Assia Meftah, Badreddine This article introduces extended ð Þ s; m -prequasiinvex functions on coordinates, a new form of generalized convex function. Using a previously established identity, we derive new fractional Hermite-Hadamard type integral inequalities for functions whose mixed partial derivatives belong to this new class of functions. The obtained results generalize existing Hermite-Hadamard type inequalities and have numerous applications in mathematics and physics. To demonstrate the utility of our findings, we provide examples of applications to special means, such as arithmetic, harmonic and p-logarithmic means. Elsevier 2023-06-01 Article PeerReviewed Saleh, Wedad and Lakhdari, Abdelghani and Kilicman, Adem and Frioui, Assia and Meftah, Badreddine (2023) Some new fractional Hermite-Hadamard type inequalities for functions with co-ordinated extended (s, m)-prequasiinvex mixed partial derivatives. Alexandria Engineering Journal, 72. pp. 261-267. ISSN 1110-0168; ESSN: 2090-2670 https://www.sciencedirect.com/science/article/pii/S1110016823002491?pes=vor 10.1016/j.aej.2023.03.080 |
| spellingShingle | Saleh, Wedad Lakhdari, Abdelghani Kilicman, Adem Frioui, Assia Meftah, Badreddine Some new fractional Hermite-Hadamard type inequalities for functions with co-ordinated extended (s, m)-prequasiinvex mixed partial derivatives |
| title | Some new fractional Hermite-Hadamard type inequalities for functions with co-ordinated extended (s, m)-prequasiinvex mixed partial derivatives |
| title_full | Some new fractional Hermite-Hadamard type inequalities for functions with co-ordinated extended (s, m)-prequasiinvex mixed partial derivatives |
| title_fullStr | Some new fractional Hermite-Hadamard type inequalities for functions with co-ordinated extended (s, m)-prequasiinvex mixed partial derivatives |
| title_full_unstemmed | Some new fractional Hermite-Hadamard type inequalities for functions with co-ordinated extended (s, m)-prequasiinvex mixed partial derivatives |
| title_short | Some new fractional Hermite-Hadamard type inequalities for functions with co-ordinated extended (s, m)-prequasiinvex mixed partial derivatives |
| title_sort | some new fractional hermite-hadamard type inequalities for functions with co-ordinated extended (s, m)-prequasiinvex mixed partial derivatives |
| url | http://psasir.upm.edu.my/id/eprint/109210/ http://psasir.upm.edu.my/id/eprint/109210/ http://psasir.upm.edu.my/id/eprint/109210/ |