Hardy Type Inequalities on Time Scales (eBook)

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

eBook Download: PDF

2016 | 1st ed. 2016
305 Seiten
Springer International Publishing (Verlag)
978-3-319-44299-0 (ISBN)

Infos

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.

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.

Inhalt

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 

Produkt-Details

• Erscheint lt. Verlag: 20.10.2016
• Zusatzinfo: X, 305 p.
• Verlagsort: Cham
• Sprache: englisch
• Themenwelt: Mathematik / Informatik ► Mathematik
• Themenwelt: Technik
• Schlagworte: Copson-Type Inequalities • Hardy and Littlewood Type Inequalities • Hardy-Knopp Type Inequalities • Inequalities and Convexity • Inequalities on Time Scales
• ISBN-10: 3-319-44299-6 / 3319442996
• ISBN-13: 978-3-319-44299-0 / 9783319442990