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Some New Dynamic Inequalities Involving Monotonic Functions on Time Scales.
- Source :
-
Journal of Function Spaces . 5/8/2019, p1-11. 11p. - Publication Year :
- 2019
-
Abstract
- In this paper, we prove some new dynamic inequalities involving C- monotonic functions on time scales. The main results will be proved by employing Hölder's inequality, integration by parts, and a chain rule on time scales. As a special case when T=R, our results contain the continuous inequalities proved by Heinig, Maligranda, Pečarić, Perić, and Persson and when T=N, the results to the best of the authors' knowledge are essentially new. [ABSTRACT FROM AUTHOR]
- Subjects :
- *MATHEMATICAL equivalence
*MONOTONIC functions
Subjects
Details
- Language :
- English
- ISSN :
- 23148896
- Database :
- Academic Search Index
- Journal :
- Journal of Function Spaces
- Publication Type :
- Academic Journal
- Accession number :
- 136284312
- Full Text :
- https://doi.org/10.1155/2019/7584836