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Some dynamic wirtinger-type inequalities and their applications

Agarwal, Ravi
; 
Bohner, Martin
; 
O’Regan, Donal
; 
Saker, Samir
Identifiers
http://hdl.handle.net/10379/10144
 https://doi.org/10.13025/28702
Publication Date
2011-10-08
Keywords
wirtinger-type inequality, dynamic equation, time scale, riemann zeta-function, time scales, zeros
Type
Article
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Citation
Agarwal, Ravi; Bohner, Martin; O’Regan, Donal; Saker, Samir (2011). Some dynamic wirtinger-type inequalities and their applications. Pacific Journal of Mathematics 252 (1), 1-18
Abstract
In this paper, we present some new Wirtinger-type inequalities on time scales. As special cases, some new continuous and discrete Wirtinger-type inequalities are given. The obtained inequalities are applied to a certain class of half-linear dynamic equations on time scales in order to establish sufficient conditions for disconjugacy.
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Publisher
Mathematical Sciences Publishers
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Attribution-NonCommercial-NoDerivs 3.0 Ireland
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Externally hosted open access publications with University of Galway authors (2)