Mathematical Inequalities

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Elsevier, May 4, 2005 - Mathematics - 608 pages
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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.

* It contains a variety of inequalities which find numerous applications in various branches of mathematics.
* It contains many inequalities which have only recently appeared in the literature and cannot yet be found in other books.
* It will be a valuable reference for someone requiring a result about inequalities for use in some applications in various other branches of mathematics.
* Each chapter ends with some miscellaneous inequalities for futher study.
* The work will be of interest to researchers working both in pure and applied mathematics, and it could also be used as the text for an advanced graduate course.
 

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Contents

2 Inequalities Related to Hardys Inequality
113
3 OpialType Inequalities
263
4 Poincaré and SobolevType Inequalities
381
5 Levin and LyapunovType Inequalities
485
back matter
565
Index
589
Copyright

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Page iv - A. Bjorner, RH Dijkgraaf, A. Dimca, AS Dow, JJ Duistermaat, E. Looijenga, JP May, I. Moerdijk, SM Mori, JP Palis, A. Schrijver, J.
Page ix - Polya in 1934 (see [ 2 ]), an enormous amount of effort has been devoted to the discovery of new types of inequalities, and to the application of inequalities in many parts of analysis.
Page 589 - GS Yang, On a certain result of Z. Opial, Proc. Japan Acad. 42 (1966), 78-83.
Page 7 - In the past several years there has been considerable interest in the application of differential and integral inequalities in many parts of analysis.
Page 577 - Distribution of the zeros of solutions of a linear differential equation, Soviet Math. Dokl. 5 (1964), 818-821. 121. A. Ju. Levin, Integral criteria for the equation x" + q(t)x = 0 to be non-oscillatory, Uspehi Mat.

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About the author (2005)

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.

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