Inequalities on Time Scales: A Survey 论文

2001Mathematical Inequalities & Applications引用 304
Nonlinear Differential Equations AnalysisFunctional Equations Stability ResultsMatrix Theory and Algorithms

摘要

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: Hlder, Cauchy-Schwarz, Minkowski, Jensen,