Inequalities Involving Functions and Their Integrals and Derivatives: 53 (Mathematics and its Applications, 53) - Hardcover

Mitrinovic, Dragoslav S.; Pecaric, J.; Fink, A.M

 
9780792313304: Inequalities Involving Functions and Their Integrals and Derivatives: 53 (Mathematics and its Applications, 53)
Hardcover
ISBN 10: 0792313305 ISBN 13: 9780792313304
Publisher: Springer, 1991

Synopsis

One service mathematics has rendered the ~l moil ... , Ii j'avait su comment en revenir, je n'y serais point aUe.' human race. It has put common sense back Jules Verne where it belongs, on the topmost shelf next to the dusty canister labelled 'discarded non- The series is divergent; therefore we may be sense'. Eric T. Bell able to do something with it. O. Heaviside Mathematics is a tool for thought. A highly necessary tool in a world where both feedback and non­ linearities abound. Similarly, all kinds of parts of mathematics serve as tools for other parts and for other sciences. Applying a simple rewriting rule to the quote on the right above one finds such statements as: 'One service topology has rendered mathematical physics .. .'; 'One service logic has rendered com­ puter science .. .'; 'One service category theory has rendered mathematics .. .'. All arguably true. And all statements obtainable this way form part of the raison d'(ftre of this series.

"synopsis" may belong to another edition of this title.

Synopsis

This volume provides a comprehensive, up-to-date survey of inequalities that involve a relationship between a function and its derivatives or integrals. The book is divided into 18 chapters, some of which are devoted to specific inequalities such as those of Kolmogorov-Landau, Wirtinger, Hardy, Carlson, Hilbert, Caplygin, Lyapunov, Gronwell and others. Over 800 references to the literature are cited; proofs are given when these provide insight into the general methods involved; and applications, especially to the theory of differential equations, are mentioned when appropriate. This volume will interest all those whose work involves differential and integral equations. It can also be recommended as a supplementary text.

"About this title" may belong to another edition of this title.

Publisher
Springer
Publication date
1991
Language
English
ISBN 10 
0792313305
ISBN 13 
9780792313304
Binding
Hardcover
Number of pages
603

Other Popular Editions of the Same Title

9789401055789: Inequalities Involving Functions and Their Integrals and Derivatives: 53 (Mathematics and its Applications, 53)

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ISBN 10:  9401055785 ISBN 13:  9789401055789
Publisher: Springer, 2012
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