Hardy type inequalities on time scales / Ravi P. Agarwal, Donal O'Regan, Samir H. Saker.
2016
QA295
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Details
Title
Hardy type inequalities on time scales / Ravi P. Agarwal, Donal O'Regan, Samir H. Saker.
Author
Agarwal, Ravi P., author.
ISBN
9783319442990 (electronic book)
3319442996 (electronic book)
9783319442983
3319442988
3319442996 (electronic book)
9783319442983
3319442988
Published
Switzerland : Springer, [2016]
Language
English
Description
1 online resource.
Call Number
QA295
Dewey Decimal Classification
515.26
Summary
The book is devoted to dynamic inequalities of Hardy type and extensions and generalizations via convexity on a time scale T. In particular, the book contains the time scale versions of classical Hardy type inequalities, Hardy and Littlewood type inequalities, Hardy-Knopp type inequalities via convexity, Copson type inequalities, Copson-Beesack type inequalities, Liendeler type inequalities, Levinson type inequalities and Pachpatte type inequalities, Bennett type inequalities, Chan type inequalities, and Hardy type inequalities with two different weight functions. These dynamic inequalities contain the classical continuous and discrete inequalities as special cases when T = R and T = N and can be extended to different types of inequalities on different time scales such as T = hN, h > 0, T = qN for q > 1, etc.In this book the authors followed the history and development of these inequalities. Each section in self-contained and one can see the relationship between the time scale versions of the inequalities and the classical ones. To the best of the authors? knowledge this is the first book devoted to Hardy-type inequalities and their extensions on time scales.
Bibliography, etc. Note
Includes bibliographical references and index.
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Access limited to authorized users.
Source of Description
Description based on print version record.
Added Author
O'Regan, Donal, author.
Saker, Samir, author.
Saker, Samir, author.
Available in Other Form
Hardy Type Inequalities on Time Scales.
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