Dynamic Inequalities On Time Scales

2014
ISBN: 978-3-319-11001-1
Verlag: Springer International Publishing

Buch, Englisch, 256 Seiten, Format (B × H): 160 mm x 241 mm, Gewicht: 5266 g

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 Cebyšv'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.

Zielgruppe

Research

Autoren/Hrsg.

Agarwal, Ravi

Saker, Samir

O'Regan, Donal

Fachgebiete

• Mathematik | Informatik Mathematik Mathematische Analysis Integralrechnungen- und -gleichungen
• Mathematik | Informatik Mathematik Geometrie Dynamische Systeme
• Mathematik | Informatik Mathematik Mathematische Analysis Moderne Anwendungen der Analysis

Inhaltsverzeichnis

Preliminaries.- Basic Inequalities.- Opial Inequalities.- Lyapunov Inequalities.- Halanay Inequalities.- Wirtinger Inequalities.

Über Autor(innen)

Ravi P Agarwal Department of Mathematics Texas A&M University–Kingsville Kingsville, Texas, USA Donal O’Regan School of Mathematics, Statistics and Applied Mathematics National University of Ireland Galway, Ireland Samir H Saker Department of Mathematics Mansoura University Mansoura, Egypt.