Opial-type Inequalities for Diamond-Alpha Derivatives and Integrals on Time Scales

Author

Oktay Duman
Martin Bohner, Missouri University of Science and TechnologyFollow

Abstract

In this article, we obtain various Opial-type inequalities on time scales via the notion of the diamond-alpha derivative which is a general concept covering both delta and nabla derivatives on time scales.

Recommended Citation

O. Duman and M. Bohner, "Opial-type Inequalities for Diamond-Alpha Derivatives and Integrals on Time Scales," Differential Equations and Dynamical Systems, Springer Verlag, Apr 2010.

The definitive version is available at https://doi.org/10.1007/s12591-010-0006-x

Department(s)

Mathematics and Statistics

Keywords and Phrases

Delta Derivative; Diamond-Alpha Derivative; Dynamic Equation; Nabla Derivative; Time Scale; Opial Inequalities

International Standard Serial Number (ISSN)

0971-3514

Document Type

Article - Journal

Document Version

Citation

File Type

text

Language(s)

English

Rights

© 2010 Springer Verlag, All rights reserved.

Publication Date

01 Apr 2010