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Hardy Type Inequalities on Time Scales

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Hardy Type Inequalities on Time Scales/ by Ravi P. Agarwal, Donal O'Regan, Samir H. Saker.
Author:	Agarwal, Ravi P.
other author:	O'Regan, Donal.
Description:	X, 305 p.online resource. :
Contained By:	Springer Nature eBook
Subject:	Functional analysis. -
Online resource:	https://doi.org/10.1007/978-3-319-44299-0
ISBN:	9783319442990

Hardy Type Inequalities on Time Scales
Agarwal, Ravi P.

Hardy Type Inequalities on Time Scales[electronic resource] /by Ravi P. Agarwal, Donal O'Regan, Samir H. Saker. - 1st ed. 2016. - X, 305 p.online resource.

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.

ISBN: 9783319442990

Standard No.: 10.1007/978-3-319-44299-0doiSubjects--Topical Terms:

527706
Functional analysis.

LC Class. No.: QA319-329.9

Dewey Class. No.: 515.7

Hardy Type Inequalities on Time Scales
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