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OverviewThis 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. Full Product DetailsAuthor: Ravi Agarwal , Donal O'Regan , Samir SakerPublisher: Springer International Publishing AG Imprint: Springer International Publishing AG Edition: 2014 ed. Dimensions: Width: 15.50cm , Height: 1.60cm , Length: 23.50cm Weight: 5.266kg ISBN: 9783319110011ISBN 10: 3319110012 Pages: 256 Publication Date: 11 November 2014 Audience: College/higher education , Postgraduate, Research & Scholarly Format: Hardback Publisher's Status: Active Availability: Manufactured on demand ![]() We will order this item for you from a manufactured on demand supplier. Table of ContentsPreliminaries.- Basic Inequalities.- Opial Inequalities.- Lyapunov Inequalities.- Halanay Inequalities.- Wirtinger Inequalities.ReviewsThe present book, which contains six chapters, is devoted to the study of some fundamental dynamic inequalities on time scales . This book is well written, the results are well presented and proved. This book is very good and is recommended for graduate students and researchers working in any area of pure and applied mathematics. (James Adedayo Oguntuase, zbMATH 1318.26002, 2015) The present book, which contains six chapters, is devoted to the study of some fundamental dynamic inequalities on time scales ... . This book is well written, the results are well presented and proved. ... This book is very good and is recommended for graduate students and researchers working in any area of pure and applied mathematics. (James Adedayo Oguntuase, zbMATH 1318.26002, 2015) This book represents the state of the art of the current research about dynamic inequalities on time scales ... . It serves as a study guide for graduate students in the exciting, rather new, area of dynamic equations on time scales, giving students plenty of ideas how to improve and apply the presented inequalities. ... This landmark book should be in the personal library of any researcher interested in inequalities, no matter whether of continuous, discrete, or dynamic type. (Martin J. Bohner, Mathematical Reviews, April, 2016) The present book, which contains six chapters, is devoted to the study of some fundamental dynamic inequalities on time scales ... . This book is well written, the results are well presented and proved. ... This book is very good and is recommended for graduate students and researchers working in any area of pure and applied mathematics. (James Adedayo Oguntuase, zbMATH 1318.26002, 2015) Author InformationRavi 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. Tab Content 6Author Website:Countries AvailableAll regions |