Article
Discrete, Continuous, Delta, Nabla, and Diamond-Alpha Opial Inequalities
Mathematical Inequalities and Applications
Abstract
In this paper, we prove some new diamond-alpha dynamic inequalities of Opial type with one and with two weight functions on time scales. These results contain as special cases improvements of results given in the literature, and these improvements are new even in the important discrete case.
Department(s)
Mathematics and Statistics
Keywords and Phrases
- Diamond-alpha derivatives,
- Opial's inequality,
- Time scales
Document Type
Article - Journal
Document Version
Citation
File Type
text
Language(s)
English
Rights
© 2015 Element, All rights reserved.
Publication Date
7-1-2015
Publication Date
01 Jul 2015
Disciplines
Citation Information
Martin Bohner, Ramy R. Mahmoud and Samir H. Saker. "Discrete, Continuous, Delta, Nabla, and Diamond-Alpha Opial Inequalities" Mathematical Inequalities and Applications Vol. 18 Iss. 3 (2015) p. 923 - 940 ISSN: 1331-4343 Available at: http://works.bepress.com/martin-bohner/146/