A General Dynamic Inequality of Opial Type

Author

Ravi P. Agarwal
Martin Bohner, Missouri University of Science and TechnologyFollow
Donal O'Regan
Mahmoud Osman
Samir Saker

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.

Recommended Citation

R. P. Agarwal et al., "A General Dynamic Inequality of Opial Type," Applied Mathematics and Information Sciences, vol. 10, no. 3, pp. 875 - 879, Natural Sciences Publishing, May 2016.

The definitive version is available at https://doi.org/10.18576/amis/100306

Department(s)

Mathematics and Statistics

Keywords and Phrases

Hӧlder's inequality; Opial's inequality; Time scales

International Standard Serial Number (ISSN)

1935-0090

Document Type

Article - Journal

Document Version

Citation

File Type

text

Language(s)

English

Rights

© 2016 Natural Sciences Publishing, All rights reserved.

Publication Date

01 May 2016