Discrete, Continuous, Delta, Nabla, and Diamond-Alpha Opial Inequalities

Author

Martin Bohner, Missouri University of Science and TechnologyFollow
Ramy R. Mahmoud
Samir H. Saker

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.

Recommended Citation

M. Bohner et al., "Discrete, Continuous, Delta, Nabla, and Diamond-Alpha Opial Inequalities," Mathematical Inequalities and Applications, vol. 18, no. 3, pp. 923 - 940, Element, Jul 2015.

The definitive version is available at https://doi.org/10.7153/mia-18-69

Department(s)

Mathematics and Statistics

Keywords and Phrases

Diamond-alpha derivatives; Opial's inequality; Time scales

International Standard Serial Number (ISSN)

1331-4343

Document Type

Article - Journal

Document Version

Citation

File Type

text

Language(s)

English

Rights

© 2015 Element, All rights reserved.

Publication Date

01 Jul 2015