Mathematical Inequalities

by B. G. Pachpatte

Overview

The book addresses many important new developments in the field. All the topics covered are of great interest to the readers because such inequalities have become a major tool in the analysis of various branches of mathematics.

Product Details

ISBN-13:	9780444517951
Publisher:	Elsevier Science
Publication date:	08/04/2005
Series:	North-Holland Mathematical Library , #67
Pages:	608
Product dimensions:	5.88(w) x 8.88(h) x (d)

About the Author

B.G. Pachpatte is a Professor of Mathematics at Marathwada University, Aurangabad, India. His main research interests are in the fields of differential, integral and difference equations and inequalities. Pachpatte has written a large number of research papers published in international journals; he is also an associate editor of Journal of Mathematical Analysis and Applications, Communications on Applied Nonlinear Analysis, Octagon, and Differential Equations and Dynamical Systems.

Table of Contents

Preface.

Introduction.

1. Inequalities Involving Convex Functions.2. Inequalities Related to Hardy’s Inequality.3. Opial-Type Inequalities.4. Poincaré- and Sobolev-Type Inequalities.5. Levin- and Lyapunov-type Inequalities.

Reference.Index.

Editorial Reviews

"This monograph is a valuable addition to the extensive literature on analytic inequalities. It provides a large amount of classical and new inequalities, most of them appearing here for the first time in a book. The mathematical analysts, physicists, engineers as well as many other people will find in this work a useful source of reference and inspiration." —ZENTRALBLATT MATH

From the Publisher