Some Opial Dynamic Inequalities Involving Higher Order Derivatives on Time Scales

Samir H. Saker

Discrete Dynamics in Nature and Society, 2012, vol. 2012, 1-22

Abstract:

We will prove some new Opial dynamic inequalities involving higher order derivatives on time scales. The results will be proved by making use of Hölder's inequality, a simple consequence of Keller's chain rule and Taylor monomials on time scales. Some continuous and discrete inequalities will be derived from our results as special cases.

Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnddns:157301

DOI: 10.1155/2012/157301

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