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New hilbert dynamic inequalities on time scales

Saker, Samir H.
; 
Ahmed, A. M.
; 
Rezk, H. M.
; 
'Regan, Donal
; 
Agarwal, Ravi P.
Identifiers
http://hdl.handle.net/10379/13768
https://doi.org/10.13025/28216
Repository DOI
10.7153/mia-2017-20-65
Publication Date
2017-01-01
Keywords
hilbert's inequality, holder's inequality, jensen's inequality, time scales, hardy-type inequalities
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Article
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Saker, Samir H. Ahmed, A. M.; Rezk, H. M.; 'Regan, Donal; Agarwal, Ravi P. (2017). New hilbert dynamic inequalities on time scales. Mathematical Inequalities & Applications 20 (4), 1017-1039
Abstract
In this paper, we prove some new dynamic inequalities of Hilbert type on time scales. From these inequalities, as special cases, we will formulate some special integral and discrete inequalities. The main results are proved using some algebraic inequalities, Holder's inequality, Jensen's inequality and a chain rule on time scales.
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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)