Back to Search
Start Over
A generalization of some integral inequalities similar to Hardy inequality on time scales.
- Source :
-
Kuwait Journal of Science . Jan2024, Vol. 51 Issue 1, p1-9. 9p. - Publication Year :
- 2024
-
Abstract
- In this paper, we prove some new dynamic inequalities similar to Hardy's inequality on time scales T. The results as special cases when T = R contain continuous inequalities similar to Hardy's inequality, and when T = Z, the results contain discrete inequalities that are essentially new to the best of the authors' knowledge. R and Z denote the set of all real numbers and the set of all integers, respectively. Our main results are proved by using the Holder € inequality, Chain rule, and some properties of multiple integrals on time scales. Furthermore, some applications and examples are given to illustrate the investigated results. [ABSTRACT FROM AUTHOR]
- Subjects :
- *INTEGRAL inequalities
*REAL numbers
*GENERALIZATION
Subjects
Details
- Language :
- English
- ISSN :
- 23074108
- Volume :
- 51
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- Kuwait Journal of Science
- Publication Type :
- Academic Journal
- Accession number :
- 178304025
- Full Text :
- https://doi.org/10.1016/j.kjs.2023.08.007