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Hardy Type Inequalities on Time Scales

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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.

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Series Title

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Call Number

510

Publisher

: Springer Cham., 2015

Collation

X, 305

Language

English

ISBN/ISSN

978-3-319-44298-3

Classification

510

Content Type

text

Media Type

computer

Carrier Type

online resource

Edition

1

Subject(s)

Functional Analysis

Specific Detail Info

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Statement of Responsibility

Ravi P. Agarwal , Donal O'Regan , Samir H. Saker

Other Information

Cataloger

Khusnun

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