Abstract
In this paper, we show that the so-called "sneak-out principle" for discrete inequalities is valid also on a general time scale. In particular, we prove some new dynamic inequalities on time scales which as special cases contain discrete inequalities obtained by Bennett and Grosse-Erdmann. The main results also are used to formulate the corresponding continuous integral inequalities, and these are essentially new. The techniques employed in this paper are elementary and rely mainly on the time scales integration by parts rule, the time scales chain rule, the time scales Hölder inequality, and the time scales Minkowski inequality.
Recommended Citation
M. Bohner and S. H. Saker, "Sneak-Out Principle on Time Scales," Journal of Mathematical Inequalities, vol. 10, no. 2, pp. 393 - 403, Element, Jan 2016.
The definitive version is available at https://doi.org/10.7153/jmi-10-30
Department(s)
Mathematics and Statistics
Keywords and Phrases
Copson's inequality; Hardy's inequality; Time scales
International Standard Serial Number (ISSN)
1846-579X
Document Type
Article - Journal
Document Version
Final Version
File Type
text
Language(s)
English
Rights
© 2016 ELEMENT, All rights reserved.
Creative Commons Licensing
This work is licensed under a Creative Commons Attribution-Noncommercial 3.0 License
Publication Date
01 Jan 2016
