Hardy Type Inequalities on Time Scales

1. Auflage 2016
ISBN: 978-3-319-44298-3
Verlag: Springer International Publishing

Buch, Englisch, 305 Seiten, Format (B × H): 160 mm x 241 mm, Gewicht: 5974 g

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.

Zielgruppe

Research

Autoren/Hrsg.

Agarwal, Ravi P.

Saker, Samir H.

O'Regan, Donal

Fachgebiete

• Mathematik | Informatik Mathematik Mathematische Analysis Funktionalanalysis
• Mathematik | Informatik Mathematik Mathematische Analysis Integralrechnungen- und -gleichungen

Inhaltsverzeichnis

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 

Über Autor(innen)

Ravi P. AgarwalDepartment of Mathematics,Texas A&M University–KingsvilleKingsville, Texas, USA.
Donal O’ReganSchool of Mathematics, Statistics and Applied MathematicsNational University of IrelandGalway, Ireland.
Samir H. SakerDepartment of Mathematics,Mansoura UniversityMansoura, Egypt.