Hermite–Hadamard-Type Inequalities for Product of Functions by Using Convex Functions
One of the many techniques to obtain a new convex function from the given functions is to calculate the product of these functions by imposing certain conditions on the functions. In general, the product of two or finite number of convex function needs not to be convex and, therefore, leads us to th...
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| Format: | Article |
| Language: | English |
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Wiley
2021-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2021/6630411 |
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| author | Tariq Nawaz M. Asif Memon Kavikumar Jacob |
| author_facet | Tariq Nawaz M. Asif Memon Kavikumar Jacob |
| author_sort | Tariq Nawaz |
| collection | DOAJ |
| description | One of the many techniques to obtain a new convex function from the given functions is to calculate the product of these functions by imposing certain conditions on the functions. In general, the product of two or finite number of convex function needs not to be convex and, therefore, leads us to the study of product of these functions. In this paper, we reframe the idea of product of functions in the setting of generalized convex function to establish Hermite–Hadamard-type inequalities for these functions. We have analyzed different cases of double and triple integrals to derive some new results. The presented results can be viewed as the refinement and improvement of previously known results. |
| format | Article |
| id | doaj-art-d6a3031d8ed14cf48bfc272c12d8b3ba |
| institution | DOAJ |
| issn | 2314-4629 2314-4785 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-d6a3031d8ed14cf48bfc272c12d8b3ba2025-08-20T03:23:39ZengWileyJournal of Mathematics2314-46292314-47852021-01-01202110.1155/2021/66304116630411Hermite–Hadamard-Type Inequalities for Product of Functions by Using Convex FunctionsTariq Nawaz0M. Asif Memon1Kavikumar Jacob2Department of Mathematics, Govt College (B), Dhoke Syedan, Rawalpindi, PakistanDepartment of Mathematics and Social Sciences, Sukkur IBA University, Sukkur 65200, Sindh, PakistanDepartment of Mathematics and Statistics, Faculty of Applied Sciences and Technology, Universiti Tun Hussein Onn, Malaysia Batu Pahat 86400, Johar, MalaysiaOne of the many techniques to obtain a new convex function from the given functions is to calculate the product of these functions by imposing certain conditions on the functions. In general, the product of two or finite number of convex function needs not to be convex and, therefore, leads us to the study of product of these functions. In this paper, we reframe the idea of product of functions in the setting of generalized convex function to establish Hermite–Hadamard-type inequalities for these functions. We have analyzed different cases of double and triple integrals to derive some new results. The presented results can be viewed as the refinement and improvement of previously known results.http://dx.doi.org/10.1155/2021/6630411 |
| spellingShingle | Tariq Nawaz M. Asif Memon Kavikumar Jacob Hermite–Hadamard-Type Inequalities for Product of Functions by Using Convex Functions Journal of Mathematics |
| title | Hermite–Hadamard-Type Inequalities for Product of Functions by Using Convex Functions |
| title_full | Hermite–Hadamard-Type Inequalities for Product of Functions by Using Convex Functions |
| title_fullStr | Hermite–Hadamard-Type Inequalities for Product of Functions by Using Convex Functions |
| title_full_unstemmed | Hermite–Hadamard-Type Inequalities for Product of Functions by Using Convex Functions |
| title_short | Hermite–Hadamard-Type Inequalities for Product of Functions by Using Convex Functions |
| title_sort | hermite hadamard type inequalities for product of functions by using convex functions |
| url | http://dx.doi.org/10.1155/2021/6630411 |
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