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https://scholarbank.nus.edu.sg/handle/10635/103416
| 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 | URI: | http://scholarbank.nus.edu.sg/handle/10635/103416 | ISSN: | 13314343 |
| Appears in Collections: | Staff Publications |
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