Dynamic Inequalities On Time Scales / / by Ravi Agarwal, Donal O'Regan, Samir Saker

• Record Nr.: UNINA9910299983403321
• Autore: Agarwal Ravi
• Pubbl/distr/stampa: Cham : , : Springer International Publishing : , : Imprint : Springer, , 2014
• ISBN: 3-319-11002-0
• Edizione: [1st ed. 2014.]
• Descrizione fisica: 1 online resource (264 p.)
• Disciplina: 510; 515.42; 515.7; 515.94
• Soggetti: Functional analysis; Functions of complex variables; Measure theory; Functional Analysis; Several Complex Variables and Analytic Spaces; Measure and Integration
• Lingua di pubblicazione: Inglese
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Note generali: Description based upon print version of record.
• Nota di bibliografia: Includes bibliographical references and index.
• Nota di contenuto: Preliminaries -- Basic Inequalities -- Opial Inequalities -- Lyapunov Inequalities -- Halanay Inequalities -- Wirtinger Inequalities.
• Sommario/riassunto: 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 Čebyšv'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.