Some new fractional Hermite-Hadamard type inequalities for functions with co-ordinated extended s,m-prequasiinvex mixed partial derivatives
This article introduces extended (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 cla...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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Elsevier
2023-06-01
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| Series: | Alexandria Engineering Journal |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S1110016823002491 |
| _version_ | 1797847687325810688 |
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| author | Wedad Saleh Abdelghani Lakhdari Adem Kiliçman Assia Frioui Badreddine Meftah |
| author_facet | Wedad Saleh Abdelghani Lakhdari Adem Kiliçman Assia Frioui Badreddine Meftah |
| author_sort | Wedad Saleh |
| collection | DOAJ |
| description | This article introduces extended (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 | 2024-04-09T18:16:27Z |
| format | Article |
| id | doaj.art-3b5b5dbc977f4a0d9a885c0671b5a353 |
| institution | Directory Open Access Journal |
| issn | 1110-0168 |
| language | English |
| last_indexed | 2024-04-09T18:16:27Z |
| publishDate | 2023-06-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Alexandria Engineering Journal |
| spelling | doaj.art-3b5b5dbc977f4a0d9a885c0671b5a3532023-04-13T04:26:23ZengElsevierAlexandria Engineering Journal1110-01682023-06-0172261267Some new fractional Hermite-Hadamard type inequalities for functions with co-ordinated extended s,m-prequasiinvex mixed partial derivativesWedad Saleh0Abdelghani Lakhdari1Adem Kiliçman2Assia Frioui3Badreddine Meftah4Department of Mathematics, Taibah University, Al- Medina, Saudi ArabiaEcole Nationale Supérieure de Technologie et d’Ingénierie, Annaba 23005, AlgeriaDepartment of Mathematics and Statistics, Universiti Putra Malaysia (UPM), Serdang 43400, Malaysia; Corresponding author.Department of Mathematics, University 8 May 1945, Guelma 24000, AlgeriaDepartment of Mathematics, University 8 May 1945, Guelma 24000, AlgeriaThis article introduces extended (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.http://www.sciencedirect.com/science/article/pii/S1110016823002491Integral inequalityExtended s,m-prequasiinvex on the co-ordinatedHölder inequality |
| spellingShingle | Wedad Saleh Abdelghani Lakhdari Adem Kiliçman Assia Frioui Badreddine Meftah Some new fractional Hermite-Hadamard type inequalities for functions with co-ordinated extended s,m-prequasiinvex mixed partial derivatives Alexandria Engineering Journal Integral inequality Extended s,m-prequasiinvex on the co-ordinated Hölder inequality |
| 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 |
| topic | Integral inequality Extended s,m-prequasiinvex on the co-ordinated Hölder inequality |
| url | http://www.sciencedirect.com/science/article/pii/S1110016823002491 |
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