Generalized integral Jensen inequality
Abstract In this paper we introduce necessary and sufficient conditions for a real-valued function to be preinvex. Some properties of preinvex functions and new versions of Jensen’s integral type inequality in this setting are given. Several examples are also involved.
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2024-02-01
|
| Series: | Journal of Inequalities and Applications |
| Subjects: | |
| Online Access: | https://doi.org/10.1186/s13660-024-03106-4 |
| _version_ | 1797272823462363136 |
|---|---|
| author | Saeed Nazari Pasari Ali Barani Naser Abbasi |
| author_facet | Saeed Nazari Pasari Ali Barani Naser Abbasi |
| author_sort | Saeed Nazari Pasari |
| collection | DOAJ |
| description | Abstract In this paper we introduce necessary and sufficient conditions for a real-valued function to be preinvex. Some properties of preinvex functions and new versions of Jensen’s integral type inequality in this setting are given. Several examples are also involved. |
| first_indexed | 2024-03-07T14:35:08Z |
| format | Article |
| id | doaj.art-620768c0b8c3481ba094a04eb6340796 |
| institution | Directory Open Access Journal |
| issn | 1029-242X |
| language | English |
| last_indexed | 2024-03-07T14:35:08Z |
| publishDate | 2024-02-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of Inequalities and Applications |
| spelling | doaj.art-620768c0b8c3481ba094a04eb63407962024-03-05T20:41:30ZengSpringerOpenJournal of Inequalities and Applications1029-242X2024-02-012024111110.1186/s13660-024-03106-4Generalized integral Jensen inequalitySaeed Nazari Pasari0Ali Barani1Naser Abbasi2Department of Mathematics, Faculty of Science, Lorestan UniversityDepartment of Mathematics, Faculty of Science, Lorestan UniversityDepartment of Mathematics, Faculty of Science, Lorestan UniversityAbstract In this paper we introduce necessary and sufficient conditions for a real-valued function to be preinvex. Some properties of preinvex functions and new versions of Jensen’s integral type inequality in this setting are given. Several examples are also involved.https://doi.org/10.1186/s13660-024-03106-4Jensen-type inequalityInvex setsPreinvex functions |
| spellingShingle | Saeed Nazari Pasari Ali Barani Naser Abbasi Generalized integral Jensen inequality Journal of Inequalities and Applications Jensen-type inequality Invex sets Preinvex functions |
| title | Generalized integral Jensen inequality |
| title_full | Generalized integral Jensen inequality |
| title_fullStr | Generalized integral Jensen inequality |
| title_full_unstemmed | Generalized integral Jensen inequality |
| title_short | Generalized integral Jensen inequality |
| title_sort | generalized integral jensen inequality |
| topic | Jensen-type inequality Invex sets Preinvex functions |
| url | https://doi.org/10.1186/s13660-024-03106-4 |
| work_keys_str_mv | AT saeednazaripasari generalizedintegraljenseninequality AT alibarani generalizedintegraljenseninequality AT naserabbasi generalizedintegraljenseninequality |