Dynamic Inequalities On Time Scales

✍ Scribed by Ravi Agarwal, Donal O'Regan, Samir Saker (auth.)

Publisher: Springer International Publishing
Year: 2014
Tongue: English
Leaves: 264
Edition: 1
Category: Library

No coin nor oath required. For personal study only.

✦ Synopsis

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.

✦ Table of Contents

Front Matter....Pages i-x
Preliminaries....Pages 1-21
Basic Inequalities....Pages 23-91
Opial Inequalities....Pages 93-174
Lyapunov Inequalities....Pages 175-214
Halanay Inequalities....Pages 215-228
Wirtinger Inequalities....Pages 229-241
Back Matter....Pages 243-256

✦ Subjects

Functional Analysis; Several Complex Variables and Analytic Spaces; Measure and Integration

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