Dynamic Shum Inequalities

Author

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

Abstract

Recently, various forms and improvements of Opial dynamic inequalities have been given in the literature. In this paper, we give refinements of Opial inequalities on time scales that reduce in the continuous case to classical inequalities named after Beesack and Shum. These refinements are new in the important discrete case.

Recommended Citation

R. P. Agarwal et al., "Dynamic Shum Inequalities," Turkish Journal of Mathematics, vol. 41, no. 1, pp. 55 - 66, TUBITAK, Jan 2017.

The definitive version is available at https://doi.org/10.3906/mat-1511-42

Department(s)

Mathematics and Statistics

Keywords and Phrases

Beesack's inequality; Opial's inequality; Shum's inequality; Time scales

International Standard Serial Number (ISSN)

1300-0098

Document Type

Article - Journal

Document Version

Citation

File Type

text

Language(s)

English

Rights

© 2017 TUBITAK, All rights reserved.

Publication Date

01 Jan 2017