Hermite–Hadamard type inequalities for co-ordinated convex and qausi-convex functions and their applications
Abstract In the article, we present several Hermite–Hadamard type inequalities for the co-ordinated convex and quasi-convex functions and give an application to the product of the moment of two continuous and independent random variables. Our results are generalizations of some earlier results. Addi...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2019-12-01
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| Series: | Journal of Inequalities and Applications |
| Subjects: | |
| Online Access: | https://doi.org/10.1186/s13660-019-2272-7 |
| _version_ | 1831540679604436992 |
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| author | Muhammad Amer Latif Saima Rashid Silvestru Sever Dragomir Yu-Ming Chu |
| author_facet | Muhammad Amer Latif Saima Rashid Silvestru Sever Dragomir Yu-Ming Chu |
| author_sort | Muhammad Amer Latif |
| collection | DOAJ |
| description | Abstract In the article, we present several Hermite–Hadamard type inequalities for the co-ordinated convex and quasi-convex functions and give an application to the product of the moment of two continuous and independent random variables. Our results are generalizations of some earlier results. Additionally, an illustrative example on the probability distribution is given to support our results. |
| first_indexed | 2024-12-17T00:03:01Z |
| format | Article |
| id | doaj.art-900c76b205f047c495b4bd8069f6d922 |
| institution | Directory Open Access Journal |
| issn | 1029-242X |
| language | English |
| last_indexed | 2024-12-17T00:03:01Z |
| publishDate | 2019-12-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of Inequalities and Applications |
| spelling | doaj.art-900c76b205f047c495b4bd8069f6d9222022-12-21T22:11:01ZengSpringerOpenJournal of Inequalities and Applications1029-242X2019-12-012019113310.1186/s13660-019-2272-7Hermite–Hadamard type inequalities for co-ordinated convex and qausi-convex functions and their applicationsMuhammad Amer Latif0Saima Rashid1Silvestru Sever Dragomir2Yu-Ming Chu3Department of Basic Sciences, University of HailDepartment of Mathematics, Government College (GC) UniversityCollege of Engineering and Science, Victoria UniversityDepartment of Mathematics, Huzhou UniversityAbstract In the article, we present several Hermite–Hadamard type inequalities for the co-ordinated convex and quasi-convex functions and give an application to the product of the moment of two continuous and independent random variables. Our results are generalizations of some earlier results. Additionally, an illustrative example on the probability distribution is given to support our results.https://doi.org/10.1186/s13660-019-2272-7Hermite–Hadamard inequalityCo-ordinated convex functionCo-ordinated quasi-convex functionHölder integral inequalityMoment of random variable |
| spellingShingle | Muhammad Amer Latif Saima Rashid Silvestru Sever Dragomir Yu-Ming Chu Hermite–Hadamard type inequalities for co-ordinated convex and qausi-convex functions and their applications Journal of Inequalities and Applications Hermite–Hadamard inequality Co-ordinated convex function Co-ordinated quasi-convex function Hölder integral inequality Moment of random variable |
| title | Hermite–Hadamard type inequalities for co-ordinated convex and qausi-convex functions and their applications |
| title_full | Hermite–Hadamard type inequalities for co-ordinated convex and qausi-convex functions and their applications |
| title_fullStr | Hermite–Hadamard type inequalities for co-ordinated convex and qausi-convex functions and their applications |
| title_full_unstemmed | Hermite–Hadamard type inequalities for co-ordinated convex and qausi-convex functions and their applications |
| title_short | Hermite–Hadamard type inequalities for co-ordinated convex and qausi-convex functions and their applications |
| title_sort | hermite hadamard type inequalities for co ordinated convex and qausi convex functions and their applications |
| topic | Hermite–Hadamard inequality Co-ordinated convex function Co-ordinated quasi-convex function Hölder integral inequality Moment of random variable |
| url | https://doi.org/10.1186/s13660-019-2272-7 |
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