Some majorization integral inequalities for functions defined on rectangles
| Author | Wu, Shanhe |
| Author | Adil Khan, Muhammad |
| Author | Basir, Abdul |
| Author | Saadati, Reza |
| Available date | 2025-02-24T08:15:21Z |
| Publication Date | 2018 |
| Publication Name | Journal of Inequalities and Applications |
| Identifier | http://dx.doi.org/10.1186/s13660-018-1739-2 |
| Citation | Wu, S., Adil Khan, M., Basir, A., & Saadati, R. (2018). Some majorization integral inequalities for functions defined on rectangles. Journal of Inequalities and Applications, 2018, 1-13. |
| ISSN | 1025-5834 |
| 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. |
| Sponsor | This research was supported by funds from the International Scientific Research Publications (ISRP) under Grant No. 20180101R and the Natural Science Foundation of Fujian province of China under Grant No. 2016J01023. |
| Language | en |
| Publisher | Springer International Publishing |
| Subject | Convex function Coordinate convex function Favard’s inequality Majorization Rectangle |
| Type | Article |
| Pagination | 1-13 |
| Volume Number | 2018 |
| ESSN | 1029-242X |
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Mathematics, Statistics & Physics [781 items ]