Ravi P. Agarwal & Donal O’Regan 
Hardy Type Inequalities on Time Scales [PDF ebook] 

Supporto


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 = h N, h > 0, T = q N 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.

€106.99
Modalità di pagamento

Tabella dei contenuti

1 Hardy and Littlewood Type Inequalities

 2 Copson-Type Inequalities

3 Leindler-Type Inequalities

4 Littlewood-Bennett Type Inequalities

5 Weighted Hardy Type Inequalities

6 Levinson-Type Inequalities

7 Hardy-Knopp Type Inequalities

Bibiliography  

Index 

Circa l’autore


Ravi P. Agarwal

Department of Mathematics,

Texas A&M University–Kingsville

Kingsville, Texas, USA.


Donal O’Regan

School of Mathematics, Statistics and Applied Mathematics

National University of Ireland

Galway, Ireland.


Samir H. Saker

Department of Mathematics,

Mansoura University

Mansoura, Egypt.

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Lingua Inglese ● Formato PDF ● Pagine 305 ● ISBN 9783319442990 ● Dimensione 3.4 MB ● Casa editrice Springer International Publishing ● Città Cham ● Paese CH ● Pubblicato 2016 ● Scaricabile 24 mesi ● Moneta EUR ● ID 5002704 ● Protezione dalla copia DRM sociale

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