An Opial-Type Inequality on Time Scales

We establish some new Opial-type inequalities involving higher order delta derivatives on time scales. These extend some known results in the continuous case in the literature and provide new estimates in the setting of time scales.

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Main Authors: Qiao-Luan Li, Wing-Sum Cheung
Format: Article
Language:English
Published: Wiley 2013-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2013/534083
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author Qiao-Luan Li
Wing-Sum Cheung
author_facet Qiao-Luan Li
Wing-Sum Cheung
author_sort Qiao-Luan Li
collection DOAJ
description We establish some new Opial-type inequalities involving higher order delta derivatives on time scales. These extend some known results in the continuous case in the literature and provide new estimates in the setting of time scales.
format Article
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institution Kabale University
issn 1085-3375
1687-0409
language English
publishDate 2013-01-01
publisher Wiley
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series Abstract and Applied Analysis
spelling doaj-art-ddb7d33342f746b098029751dc9c0d492025-02-03T01:06:58ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/534083534083An Opial-Type Inequality on Time ScalesQiao-Luan Li0Wing-Sum Cheung1College of Mathematics and Information Science, Hebei Normal University, Shijiazhuang 050024, ChinaDepartment of Mathematics, The University of Hong Kong, Hong KongWe establish some new Opial-type inequalities involving higher order delta derivatives on time scales. These extend some known results in the continuous case in the literature and provide new estimates in the setting of time scales.http://dx.doi.org/10.1155/2013/534083
spellingShingle Qiao-Luan Li
Wing-Sum Cheung
An Opial-Type Inequality on Time Scales
Abstract and Applied Analysis
title An Opial-Type Inequality on Time Scales
title_full An Opial-Type Inequality on Time Scales
title_fullStr An Opial-Type Inequality on Time Scales
title_full_unstemmed An Opial-Type Inequality on Time Scales
title_short An Opial-Type Inequality on Time Scales
title_sort opial type inequality on time scales
url http://dx.doi.org/10.1155/2013/534083
work_keys_str_mv AT qiaoluanli anopialtypeinequalityontimescales
AT wingsumcheung anopialtypeinequalityontimescales
AT qiaoluanli opialtypeinequalityontimescales
AT wingsumcheung opialtypeinequalityontimescales