"Opial-type Inequalities for Diamond-Alpha Derivatives and Integrals on Time Scales" by Oktay Duman

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

Differential Equations and Dynamical Systems

Oktay Duman
Martin Bohner, Missouri University of Science and Technology

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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.

Department(s)

Mathematics and Statistics

Keywords and Phrases

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

Document Type

Article - Journal

Document Version

Citation

File Type

text

Language(s)

English

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Publication Date

4-1-2010

Publication Date

01 Apr 2010

Disciplines

Citation Information

Oktay Duman and Martin Bohner. "Opial-type Inequalities for Diamond-Alpha Derivatives and Integrals on Time Scales" Differential Equations and Dynamical Systems (2010) ISSN: 0971-3514
Available at: http://works.bepress.com/martin-bohner/77/