Dynamic Inequalities on Time Scales （2014）

Agarwal, Ravi/ O'Regan, Donal/ Saker, Samir

Springer International Publishing AG（2014/11発売）

オンデマンド(OD/POD)版です。キャンセルは承れません。

製本 Hardcover:ハードカバー版／ページ数 256 p.
商品コード 9783319110011

Full Description

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.

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