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New multiplicative higher order dynamic inequalities of opial type

Rabie, Safi S.
; 
Saker, Samir H.
; 
'Regan, Donal
; 
Agarwal, Ravi P.
Repository DOI
Publication Date
2016-01-01
Keywords
opial's inequality, partial derivatives, shum's inequalities, time scales, time scales
Type
Article
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Citation
Rabie, Safi S. Saker, Samir H.; 'Regan, Donal; Agarwal, Ravi P. (2016). New multiplicative higher order dynamic inequalities of opial type. Mathematical Inequalities & Applications 19 (1), 33-49
Abstract
In this paper, we prove some new multiplicative dynamic inequalities of Opial type on a time scale T. The main results will be proved by using Holder's inequality, the chain rule and some basic dynamic inequalities designed and proved for this purpose. As special cases, we will derive some continuous and discrete inequalities from the main results.
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Publisher
Element d.o.o.
Publisher DOI
10.7153/mia-19-03
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Attribution-NonCommercial-NoDerivs 3.0 Ireland
cbn
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Externally hosted open access publications with University of Galway authors (2)