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Title: Inequalities on time scales: A survey
Authors: Agarwal, R. 
Bohner, M.
Peterson, A.
Keywords: Dynamic equations
Measure chains
Time scales
Issue Date: Oct-2001
Citation: Agarwal, R.,Bohner, M.,Peterson, A. (2001-10). Inequalities on time scales: A survey. Mathematical Inequalities and Applications 4 (4) : 535-557. ScholarBank@NUS Repository.
Abstract: The study of dynamic equations on time scales, which goes back to its founder Stefan Hilger (1988), is an area of mathematics which is currently receiving considerable attention. Although the basic aim of this is to unify the study of differential and difference equations, it also extends these classical cases to cases "in between". In this paper we present time scales versions of the inequalities: Hölder, Cauchy-Schwarz, Minkowski, Jensen, Gronwall, Bernoulli, Bihari, Opial, Wirtinger, and Lyapunov.
Source Title: Mathematical Inequalities and Applications
ISSN: 13314343
Appears in Collections:Staff Publications

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