Some Inequalities Related to Interval-Valued ηh-Convex Functions
Convexity plays an important role in many areas of mathematics, especially in the study of optimization problems where they are distinguished by a number of convenient properties. Our aim is to introduce a more extended version of convexity. In this paper, we introduced interval-valued generalized η...
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| Main Authors: | , , , |
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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/10.1155/2021/6617074 |
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| _version_ | 1832550811061714944 |
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| author | Lei Chen Muhammad Shoaib Saleem Muhammad Sajid Zahoor Rahat Bano |
| author_facet | Lei Chen Muhammad Shoaib Saleem Muhammad Sajid Zahoor Rahat Bano |
| author_sort | Lei Chen |
| collection | DOAJ |
| description | Convexity plays an important role in many areas of mathematics, especially in the study of optimization problems where they are distinguished by a number of convenient properties. Our aim is to introduce a more extended version of convexity. In this paper, we introduced interval-valued generalized ηh convex function and proved Hermite–Hadamard-, Jensen-, and Ostrowski-type inequalities in this generalization. The presented results are generalizations of many existing results of literature. |
| format | Article |
| id | doaj-art-06eca93d81e6409c80370ca3529dacc8 |
| institution | Kabale University |
| issn | 2314-4629 2314-4785 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-06eca93d81e6409c80370ca3529dacc82025-02-03T06:05:45ZengWileyJournal of Mathematics2314-46292314-47852021-01-01202110.1155/2021/66170746617074Some Inequalities Related to Interval-Valued ηh-Convex FunctionsLei Chen0Muhammad Shoaib Saleem1Muhammad Sajid Zahoor2Rahat Bano3College of Science, Qiongtai Normal Universit, Haikou, Hainan 571127, ChinaDepartment of Mathematics, University of Okara, Okara, PakistanDepartment of Mathematics, University of Okara, Okara, PakistanDepartment of Mathematics, University of Okara, Okara, PakistanConvexity plays an important role in many areas of mathematics, especially in the study of optimization problems where they are distinguished by a number of convenient properties. Our aim is to introduce a more extended version of convexity. In this paper, we introduced interval-valued generalized ηh convex function and proved Hermite–Hadamard-, Jensen-, and Ostrowski-type inequalities in this generalization. The presented results are generalizations of many existing results of literature.http://dx.doi.org/10.1155/2021/6617074 |
| spellingShingle | Lei Chen Muhammad Shoaib Saleem Muhammad Sajid Zahoor Rahat Bano Some Inequalities Related to Interval-Valued ηh-Convex Functions Journal of Mathematics |
| title | Some Inequalities Related to Interval-Valued ηh-Convex Functions |
| title_full | Some Inequalities Related to Interval-Valued ηh-Convex Functions |
| title_fullStr | Some Inequalities Related to Interval-Valued ηh-Convex Functions |
| title_full_unstemmed | Some Inequalities Related to Interval-Valued ηh-Convex Functions |
| title_short | Some Inequalities Related to Interval-Valued ηh-Convex Functions |
| title_sort | some inequalities related to interval valued ηh convex functions |
| url | http://dx.doi.org/10.1155/2021/6617074 |
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