New fractional integral inequalities pertaining 2D–approximately coordinate (r1,ℏ1)-(r2,ℏ2)–convex functions
In this article the authors introduce the concept of two dimensional approximately coordinate (r1,ℏ1)–(r2,ℏ2)–convex function that generalize several known coordinate convexity classes. Some refinements of Hermite–Hadamard like inequalities pertaining approximately coordinate (r1,ℏ1)–(r2,ℏ2)–convex...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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Elsevier
2022-01-01
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| Series: | Alexandria Engineering Journal |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S1110016821003963 |
| _version_ | 1818652534490791936 |
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| author | Ying-Qing Song Saad Ihsan Butt Artion Kashuri Jamshed Nasir Muhammad Nadeem |
| author_facet | Ying-Qing Song Saad Ihsan Butt Artion Kashuri Jamshed Nasir Muhammad Nadeem |
| author_sort | Ying-Qing Song |
| collection | DOAJ |
| description | In this article the authors introduce the concept of two dimensional approximately coordinate (r1,ℏ1)–(r2,ℏ2)–convex function that generalize several known coordinate convexity classes. Some refinements of Hermite–Hadamard like inequalities pertaining approximately coordinate (r1,ℏ1)–(r2,ℏ2)–convex functions are obtain and several special cases from the main results are discussed in details. Finally, from our main results some known results are recaptured as well. |
| first_indexed | 2024-12-17T02:23:32Z |
| format | Article |
| id | doaj.art-6e40b3f4472b4b05a7561394aac71782 |
| institution | Directory Open Access Journal |
| issn | 1110-0168 |
| language | English |
| last_indexed | 2024-12-17T02:23:32Z |
| publishDate | 2022-01-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Alexandria Engineering Journal |
| spelling | doaj.art-6e40b3f4472b4b05a7561394aac717822022-12-21T22:07:12ZengElsevierAlexandria Engineering Journal1110-01682022-01-01611563573New fractional integral inequalities pertaining 2D–approximately coordinate (r1,ℏ1)-(r2,ℏ2)–convex functionsYing-Qing Song0Saad Ihsan Butt1Artion Kashuri2Jamshed Nasir3Muhammad Nadeem4College of Science, Hunan City University, Yiyang 413000, PR ChinaDepartment of Mathematics, COMSATS University Islamabad, Lahore Campus, 54000, Pakistan; Corresponding author.Department of Mathematics, Faculty of Technical Science, University “Ismail Qemali”, 9400 Vlora, AlbaniaDepartment of Mathematics, COMSATS University Islamabad, Lahore Campus, 54000, PakistanDepartment of Mathematics, COMSATS University Islamabad, Lahore Campus, 54000, PakistanIn this article the authors introduce the concept of two dimensional approximately coordinate (r1,ℏ1)–(r2,ℏ2)–convex function that generalize several known coordinate convexity classes. Some refinements of Hermite–Hadamard like inequalities pertaining approximately coordinate (r1,ℏ1)–(r2,ℏ2)–convex functions are obtain and several special cases from the main results are discussed in details. Finally, from our main results some known results are recaptured as well.http://www.sciencedirect.com/science/article/pii/S1110016821003963Hermite–Hadamard inequalityHölder inequalityKatugampola fractional integralsConvexity |
| spellingShingle | Ying-Qing Song Saad Ihsan Butt Artion Kashuri Jamshed Nasir Muhammad Nadeem New fractional integral inequalities pertaining 2D–approximately coordinate (r1,ℏ1)-(r2,ℏ2)–convex functions Alexandria Engineering Journal Hermite–Hadamard inequality Hölder inequality Katugampola fractional integrals Convexity |
| title | New fractional integral inequalities pertaining 2D–approximately coordinate (r1,ℏ1)-(r2,ℏ2)–convex functions |
| title_full | New fractional integral inequalities pertaining 2D–approximately coordinate (r1,ℏ1)-(r2,ℏ2)–convex functions |
| title_fullStr | New fractional integral inequalities pertaining 2D–approximately coordinate (r1,ℏ1)-(r2,ℏ2)–convex functions |
| title_full_unstemmed | New fractional integral inequalities pertaining 2D–approximately coordinate (r1,ℏ1)-(r2,ℏ2)–convex functions |
| title_short | New fractional integral inequalities pertaining 2D–approximately coordinate (r1,ℏ1)-(r2,ℏ2)–convex functions |
| title_sort | new fractional integral inequalities pertaining 2d approximately coordinate r1 ℏ1 r2 ℏ2 convex functions |
| topic | Hermite–Hadamard inequality Hölder inequality Katugampola fractional integrals Convexity |
| url | http://www.sciencedirect.com/science/article/pii/S1110016821003963 |
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