Some majorization integral inequalities for functions defined on rectangles
Abstract In this paper, we first prove an integral majorization theorem related to integral inequalities for functions defined on rectangles. We then apply the result to establish some new integral inequalities for functions defined on rectangles. The results obtained are generalizations of weighted...
| Main Authors: | , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2018-06-01
|
| Series: | Journal of Inequalities and Applications |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1186/s13660-018-1739-2 |
| _version_ | 1818310928569991168 |
|---|---|
| author | Shanhe Wu Muhammad Adil Khan Abdul Basir Reza Saadati |
| author_facet | Shanhe Wu Muhammad Adil Khan Abdul Basir Reza Saadati |
| author_sort | Shanhe Wu |
| collection | DOAJ |
| description | Abstract In this paper, we first prove an integral majorization theorem related to integral inequalities for functions defined on rectangles. We then apply the result to establish some new integral inequalities for functions defined on rectangles. The results obtained are generalizations of weighted Favard’s inequality, which also provide a generalization of the results given by Maligranda et al. (J. Math. Anal. Appl. 190:248–262, 1995) in an earlier paper. |
| first_indexed | 2024-12-13T07:53:51Z |
| format | Article |
| id | doaj.art-2ea25796559446b09750a03e335c6c5b |
| institution | Directory Open Access Journal |
| issn | 1029-242X |
| language | English |
| last_indexed | 2024-12-13T07:53:51Z |
| publishDate | 2018-06-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of Inequalities and Applications |
| spelling | doaj.art-2ea25796559446b09750a03e335c6c5b2022-12-21T23:54:35ZengSpringerOpenJournal of Inequalities and Applications1029-242X2018-06-012018111310.1186/s13660-018-1739-2Some majorization integral inequalities for functions defined on rectanglesShanhe Wu0Muhammad Adil Khan1Abdul Basir2Reza Saadati3Department of Mathematics, Longyan UniversityDepartment of Mathematics, University of PeshawarDepartment of Mathematics, University of PeshawarDepartment of Mathematics, Iran University of Science and TechnologyAbstract In this paper, we first prove an integral majorization theorem related to integral inequalities for functions defined on rectangles. We then apply the result to establish some new integral inequalities for functions defined on rectangles. The results obtained are generalizations of weighted Favard’s inequality, which also provide a generalization of the results given by Maligranda et al. (J. Math. Anal. Appl. 190:248–262, 1995) in an earlier paper.http://link.springer.com/article/10.1186/s13660-018-1739-2Convex functionCoordinate convex functionRectangleMajorizationFavard’s inequality |
| spellingShingle | Shanhe Wu Muhammad Adil Khan Abdul Basir Reza Saadati Some majorization integral inequalities for functions defined on rectangles Journal of Inequalities and Applications Convex function Coordinate convex function Rectangle Majorization Favard’s inequality |
| title | Some majorization integral inequalities for functions defined on rectangles |
| title_full | Some majorization integral inequalities for functions defined on rectangles |
| title_fullStr | Some majorization integral inequalities for functions defined on rectangles |
| title_full_unstemmed | Some majorization integral inequalities for functions defined on rectangles |
| title_short | Some majorization integral inequalities for functions defined on rectangles |
| title_sort | some majorization integral inequalities for functions defined on rectangles |
| topic | Convex function Coordinate convex function Rectangle Majorization Favard’s inequality |
| url | http://link.springer.com/article/10.1186/s13660-018-1739-2 |
| work_keys_str_mv | AT shanhewu somemajorizationintegralinequalitiesforfunctionsdefinedonrectangles AT muhammadadilkhan somemajorizationintegralinequalitiesforfunctionsdefinedonrectangles AT abdulbasir somemajorizationintegralinequalitiesforfunctionsdefinedonrectangles AT rezasaadati somemajorizationintegralinequalitiesforfunctionsdefinedonrectangles |