New Jensen and Hermite–Hadamard type inequalities for h-convex interval-valued functions
Abstract In this paper, we introduce the h-convex concept for interval-valued functions. By using the h-convex concept, we present new Jensen and Hermite–Hadamard type inequalities for interval-valued functions. Our inequalities generalize some known results.
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2018-11-01
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| Series: | Journal of Inequalities and Applications |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1186/s13660-018-1896-3 |
| _version_ | 1818858701954482176 |
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| author | Dafang Zhao Tianqing An Guoju Ye Wei Liu |
| author_facet | Dafang Zhao Tianqing An Guoju Ye Wei Liu |
| author_sort | Dafang Zhao |
| collection | DOAJ |
| description | Abstract In this paper, we introduce the h-convex concept for interval-valued functions. By using the h-convex concept, we present new Jensen and Hermite–Hadamard type inequalities for interval-valued functions. Our inequalities generalize some known results. |
| first_indexed | 2024-12-19T09:00:29Z |
| format | Article |
| id | doaj.art-ebc75d2d91d5408f894a0422399a305d |
| institution | Directory Open Access Journal |
| issn | 1029-242X |
| language | English |
| last_indexed | 2024-12-19T09:00:29Z |
| publishDate | 2018-11-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of Inequalities and Applications |
| spelling | doaj.art-ebc75d2d91d5408f894a0422399a305d2022-12-21T20:28:29ZengSpringerOpenJournal of Inequalities and Applications1029-242X2018-11-012018111410.1186/s13660-018-1896-3New Jensen and Hermite–Hadamard type inequalities for h-convex interval-valued functionsDafang Zhao0Tianqing An1Guoju Ye2Wei Liu3College of Science, Hohai UniversityCollege of Science, Hohai UniversityCollege of Science, Hohai UniversityCollege of Science, Hohai UniversityAbstract In this paper, we introduce the h-convex concept for interval-valued functions. By using the h-convex concept, we present new Jensen and Hermite–Hadamard type inequalities for interval-valued functions. Our inequalities generalize some known results.http://link.springer.com/article/10.1186/s13660-018-1896-3Interval-valued functionsJensen inequalityHermite–Hadamard inequalityh-convex |
| spellingShingle | Dafang Zhao Tianqing An Guoju Ye Wei Liu New Jensen and Hermite–Hadamard type inequalities for h-convex interval-valued functions Journal of Inequalities and Applications Interval-valued functions Jensen inequality Hermite–Hadamard inequality h-convex |
| title | New Jensen and Hermite–Hadamard type inequalities for h-convex interval-valued functions |
| title_full | New Jensen and Hermite–Hadamard type inequalities for h-convex interval-valued functions |
| title_fullStr | New Jensen and Hermite–Hadamard type inequalities for h-convex interval-valued functions |
| title_full_unstemmed | New Jensen and Hermite–Hadamard type inequalities for h-convex interval-valued functions |
| title_short | New Jensen and Hermite–Hadamard type inequalities for h-convex interval-valued functions |
| title_sort | new jensen and hermite hadamard type inequalities for h convex interval valued functions |
| topic | Interval-valued functions Jensen inequality Hermite–Hadamard inequality h-convex |
| url | http://link.springer.com/article/10.1186/s13660-018-1896-3 |
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