Opial-type Inequalities for Diamond-Alpha Derivatives and Integrals on Time Scales
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.
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 http://dx.doi.org/10.1007/s12591-010-0006-x
Mathematics and Statistics
Keywords and Phrases
Delta Derivative; Diamond-Alpha Derivative; Dynamic Equation; Nabla Derivative; Time Scale; Opial Inequalities
Article - Journal
© 2010 Springer Verlag, All rights reserved.