Inequalities on Time Scales: a Survey

نویسندگان

  • RAVI AGARWAL
  • MARTIN BOHNER
  • ALLAN PETERSON
  • Stefan Hilger
چکیده

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 “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.

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تاریخ انتشار 2001