Inequalities of Jensen type for \(AH\)-convex functions
Some integral inequalities of Jensen type for AH-convex functions defined on intervals of real line are given. Applications for power and logarithm functions are provided as well. Some inequalities for functions of selfadjoint operators in Hilbert spaces are also established.
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Publishing House of the Romanian Academy
2016-12-01
|
| Series: | Journal of Numerical Analysis and Approximation Theory |
| Subjects: | |
| Online Access: | https://www.ictp.acad.ro/jnaat/journal/article/view/1085 |
| _version_ | 1818199391618465792 |
|---|---|
| author | Sever Dragomir |
| author_facet | Sever Dragomir |
| author_sort | Sever Dragomir |
| collection | DOAJ |
| description |
Some integral inequalities of Jensen type for AH-convex functions defined on intervals of real line are given.
Applications for power and logarithm functions are provided as well. Some inequalities for functions of selfadjoint operators in Hilbert spaces are also established.
|
| first_indexed | 2024-12-12T02:21:01Z |
| format | Article |
| id | doaj.art-0373c2a8fbf34253a9cd8eec8bd02fc6 |
| institution | Directory Open Access Journal |
| issn | 2457-6794 2501-059X |
| language | English |
| last_indexed | 2024-12-12T02:21:01Z |
| publishDate | 2016-12-01 |
| publisher | Publishing House of the Romanian Academy |
| record_format | Article |
| series | Journal of Numerical Analysis and Approximation Theory |
| spelling | doaj.art-0373c2a8fbf34253a9cd8eec8bd02fc62022-12-22T00:41:41ZengPublishing House of the Romanian AcademyJournal of Numerical Analysis and Approximation Theory2457-67942501-059X2016-12-01452Inequalities of Jensen type for \(AH\)-convex functionsSever Dragomir0Victoria University Some integral inequalities of Jensen type for AH-convex functions defined on intervals of real line are given. Applications for power and logarithm functions are provided as well. Some inequalities for functions of selfadjoint operators in Hilbert spaces are also established. https://www.ictp.acad.ro/jnaat/journal/article/view/1085Convex functionsIntegral inequalitiesAH-Convex functions. |
| spellingShingle | Sever Dragomir Inequalities of Jensen type for \(AH\)-convex functions Journal of Numerical Analysis and Approximation Theory Convex functions Integral inequalities AH-Convex functions. |
| title | Inequalities of Jensen type for \(AH\)-convex functions |
| title_full | Inequalities of Jensen type for \(AH\)-convex functions |
| title_fullStr | Inequalities of Jensen type for \(AH\)-convex functions |
| title_full_unstemmed | Inequalities of Jensen type for \(AH\)-convex functions |
| title_short | Inequalities of Jensen type for \(AH\)-convex functions |
| title_sort | inequalities of jensen type for ah convex functions |
| topic | Convex functions Integral inequalities AH-Convex functions. |
| url | https://www.ictp.acad.ro/jnaat/journal/article/view/1085 |
| work_keys_str_mv | AT severdragomir inequalitiesofjensentypeforahconvexfunctions |