Some Opial Dynamic Inequalities Involving Higher Order Derivatives on Time Scales

Some Opial Dynamic Inequalities Involving Higher Order Derivatives on Time Scales

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 w...

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Veröffentlicht in:Discrete Dynamics in Nature and Society 2012-01, Vol.2012 (2012), p.198-219-016
1. Verfasser: Saker, Samir H.
Format: Artikel
Sprache:eng
Schlagworte:
Amish culture
Calculus
Chains
Derivatives
Dynamics
Inequalities
Inequalities (Mathematics)
Studies
Theorems
Time measurement
Timekeeping
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Zusammenfassung: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.
ISSN:1026-0226
1607-887X
DOI:10.1155/2012/157301