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Some New Dynamic Inequalities Involving Monotonic Functions on Time Scales.

Authors :
Saker, S. H.
Awwad, E.
Saied, A.
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]

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