Dynamic inequalities on time scales

Ravi Agarwal, Donal O'Regan, Samir Saker

Research output: Book/ReportBookpeer-review

190 Citations (Scopus)

Abstract

This is a monograph devoted to recent research and results on dynamic inequalities on time scales. The study of dynamic inequalities on time scales has been covered extensively in the literature in recent years and has now become a major sub-field in pure and applied mathematics. In particular, this book will cover recent results on integral inequalities, including Young's inequality, Jensen's inequality, Holder's inequality, Minkowski's inequality, Steffensen's inequality, Hermite-Hadamard inequality and Cebysv's inequality. Opial type inequalities on time scales and their extensions with weighted functions, Lyapunov type inequalities, Halanay type inequalities for dynamic equations on time scales, and Wirtinger type inequalities on time scales and their extensions will also be discussed here in detail.

Original languageEnglish
PublisherSpringer International Publishing
Number of pages256
Volume9783319110028
ISBN (Electronic)9783319110028
ISBN (Print)3319110012, 9783319110011
DOIs
Publication statusPublished - 1 Jul 2014
Externally publishedYes

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