Diamond-alpha Grüss Type Inequalities on Time Scales

Author

Martin Bohner, Missouri University of Science and TechnologyFollow
Thomas Matthews
Adnan Tuna

Abstract

In this paper, we study a more general version of Grüss type inequalities on time scales by using the recent theory of combined dynamic derivatives on time scales. in the case α = 1, we obtain delta-integral Grüss type inequalities on time scales. for α = 0, we obtain nabla-integral Grüss type inequalities. We supply numerous examples throughout. Copyright © 2011 Inderscience Enterprises Ltd.

Recommended Citation

M. Bohner et al., "Diamond-alpha Grüss Type Inequalities on Time Scales," International Journal of Dynamical Systems and Differential Equations, vol. 3, no. 1 thru 2, pp. 234 - 247, Inderscience, Jan 2011.

The definitive version is available at https://doi.org/10.1504/IJDSDE.2011.038504

Department(s)

Mathematics and Statistics

Keywords and Phrases

Diamond-α derivative; Grüss type inequality; Time scales

International Standard Serial Number (ISSN)

1752-3591; 1752-3583

Document Type

Article - Journal

Document Version

Citation

File Type

text

Language(s)

English

Rights

© 2024 Inderscience, All rights reserved.

Publication Date

01 Jan 2011