Article
A General Dynamic Inequality of Opial Type
Applied Mathematics and Information Sciences
Abstract
We present a new general dynamic inequality of Opial type. This inequality is new even in both the continuous and discrete cases. The inequality is proved by making use of a recently introduced new technique for Opial dynamic inequalities, the time scales integration by parts formula, the time scales chain rule, and classical as well as time scales versions of Hölder's inequality.
Department(s)
Mathematics and Statistics
Keywords and Phrases
- Hӧlder's inequality,
- Opial's inequality,
- Time scales
Document Type
Article - Journal
Document Version
Citation
File Type
text
Language(s)
English
Rights
© 2016 Natural Sciences Publishing, All rights reserved.
Publication Date
5-1-2016
Publication Date
01 May 2016
Disciplines
Citation Information
Ravi P. Agarwal, Martin Bohner, Donal O'Regan, Mahmoud Osman, et al.. "A General Dynamic Inequality of Opial Type" Applied Mathematics and Information Sciences Vol. 10 Iss. 3 (2016) p. 875 - 879 ISSN: 1935-0090 Available at: http://works.bepress.com/martin-bohner/136/