| publication name | SOME NEW GENERALIZATIONS OF WEIGHTED DYNAMIC HARDY–KNOPP TYPE INEQUALITIES WITH KERNELS |
|---|---|
| Authors | Essam Awwad |
| year | 2021 |
| keywords | Hardy type inequality, Hardy-Knopp type inequalities, time scales, weighted functions, inequalities. |
| journal | Journal of Mathematical Inequalities |
| volume | 15 |
| issue | 4 |
| pages | 1561–1579 |
| publisher | ele math |
| Local/International | International |
| Paper Link | Not Available |
| Full paper | download |
| Supplementary materials | Not Available |
Abstract
In this paper, we establish some new generalizations of weighted dynamic HardyKnopp type inequalities with kernels on time scales and also, some new characterizations of the weights for these inequalities in different spaces. The main results will be proved by using the H¨ older inequality, the Jensen inequality and the Minkowski inequality. These inequalities (when T = R) contain the characterization of Kaijser, Nikolova, Persson and Wedestig. Also, (when T = N) our results are essentially new.