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Hardy Type Inequalities on Time Scales

2016-10-20 Mathematics
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Release : 2016-10-20
Genre : Mathematics
Kind : eBook
Book Rating : 996/5 ( reviews)

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Book Synopsis Hardy Type Inequalities on Time Scales by : Ravi P. Agarwal

Download or read book Hardy Type Inequalities on Time Scales written by Ravi P. Agarwal. This book was released on 2016-10-20. Available in PDF, EPUB and Kindle. Book excerpt: 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-typeinequalities and their extensions on time scales.

Hardy-Type Inequalities

1990-01-01
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Release : 1990-01-01
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Kind : eBook
Book Rating : 987/5 ( reviews)

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Book Synopsis Hardy-Type Inequalities by : B. Opic

Download or read book Hardy-Type Inequalities written by B. Opic. This book was released on 1990-01-01. Available in PDF, EPUB and Kindle. Book excerpt:

Weighted Inequalities Of Hardy Type (Second Edition)

2017-06-16 Mathematics
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Release : 2017-06-16
Genre : Mathematics
Kind : eBook
Book Rating : 666/5 ( reviews)

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Book Synopsis Weighted Inequalities Of Hardy Type (Second Edition) by : Lars-erik Persson

Download or read book Weighted Inequalities Of Hardy Type (Second Edition) written by Lars-erik Persson. This book was released on 2017-06-16. Available in PDF, EPUB and Kindle. Book excerpt: Inequalities play an important role in almost all branches of mathematics as well as in other areas of science and engineering. This book surveys the present state of the theory of weighted integral inequalities of Hardy type, including modifications concerning Hardy-Steklov operators, and some basic results about Hardy-type inequalities and their limit (Carleman-Knopp type) inequalities. It also describes some rather new areas such as higher order and fractional order Hardy-type inequalities and integral inequalities on the cone of monotone functions, together with some applications and open problems.In this second edition, all chapters in the first edition have been updated with new information. Moreover, a new chapter contains new and complementary information concerning: (a) a convexity approach to prove and explain Hardy-type inequalities; (b) sharp constants; (c) scales of inequalities to characterize Hardy-type inequalities; (d) Hardy-type inequalities in other function spaces; and (e) a number of new open questions.

Dynamic Inequalities On Time Scales

2014-10-30 Mathematics
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Release : 2014-10-30
Genre : Mathematics
Kind : eBook
Book Rating : 020/5 ( reviews)

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Book Synopsis Dynamic Inequalities On Time Scales by : Ravi Agarwal

Download or read book Dynamic Inequalities On Time Scales written by Ravi Agarwal. This book was released on 2014-10-30. Available in PDF, EPUB and Kindle. Book excerpt: This is a monograph devoted to recent research and results on dynamic inequalities on time scales. The study of dynamic inequalities on time scales has been covered extensively in the literature in recent years and has now become a major sub-field in pure and applied mathematics. In particular, this book will cover recent results on integral inequalities, including Young's inequality, Jensen's inequality, Holder's inequality, Minkowski's inequality, Steffensen's inequality, Hermite-Hadamard inequality and Čebyšv's inequality. Opial type inequalities on time scales and their extensions with weighted functions, Lyapunov type inequalities, Halanay type inequalities for dynamic equations on time scales, and Wirtinger type inequalities on time scales and their extensions will also be discussed here in detail.

Weighted Inequalities of Hardy Type

2003 Mathematics
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Release : 2003
Genre : Mathematics
Kind : eBook
Book Rating : 958/5 ( reviews)

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Book Synopsis Weighted Inequalities of Hardy Type by : Alois Kufner

Download or read book Weighted Inequalities of Hardy Type written by Alois Kufner. This book was released on 2003. Available in PDF, EPUB and Kindle. Book excerpt: Inequalities play an important role in almost all branches of mathematics as well as in other areas of science and engineering. This book surveys the present state of the theory of weighted integral inequalities of Hardy type, including modifications concerning Hardy-Steklov operators, and some basic results about Hardy type inequalities and their limit (Carleman-Knopp type) inequalities. It also describes some rather new fields such as higher order and fractional order Hardy type inequalities and integral inequalities on the cone of monotone functions together with some applications and open problems. The book can serve as a reference and a source of inspiration for researchers working in these and related areas, but could also be used for advanced graduate courses.

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