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Hardy Type Inequalities on Time Scales

Authors: Agarwal, Ravi P., O'Regan, Donal, Saker, Samir

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  • Provides an analysis of a variety of important Hardy Type inequalities
  • Using Hardy Type inequalities and the properties of convexity on time scales, this book establishes new conditions that lead to stability for nonlinear dynamic equations
  • Uses a differential equation model for covering a brought subset of inequalities on timescales
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eBook 93,08 €
price for Spain (gross)
  • ISBN 978-3-319-44299-0
  • Digitally watermarked, DRM-free
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Hardcover 114,39 €
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  • ISBN 978-3-319-44298-3
  • Free shipping for individuals worldwide
  • Immediate ebook access, if available*, with your print order
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Softcover 114,39 €
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  • ISBN 978-3-319-83034-6
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About this book

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.

About the authors

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.

Reviews

“This excellent book gives an extensive indept study of the time-scale versions of the classical Hardy-type inequalities, its extensions, refinements and generalizations. … book is self-contained and the relationship between the time scale versions of the inequalities and the classical ones is well discussed. This book is very rich with respect to the historical developments of Hardy-type inequalities on time scales and will be a good reference material for researchers and graduate students working in this investigative area of research.” (James Adedayo Oguntuase, zbMATH 1359.26002, 2017)


Table of contents (7 chapters)

Table of contents (7 chapters)

Buy this book

eBook 93,08 €
price for Spain (gross)
  • ISBN 978-3-319-44299-0
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover 114,39 €
price for Spain (gross)
  • ISBN 978-3-319-44298-3
  • Free shipping for individuals worldwide
  • Immediate ebook access, if available*, with your print order
  • Usually ready to be dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
Softcover 114,39 €
price for Spain (gross)
  • ISBN 978-3-319-83034-6
  • Free shipping for individuals worldwide
  • Immediate ebook access, if available*, with your print order
  • Usually ready to be dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
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Bibliographic Information

Bibliographic Information
Book Title
Hardy Type Inequalities on Time Scales
Authors
Copyright
2016
Publisher
Springer International Publishing
Copyright Holder
Springer International Publishing Switzerland
eBook ISBN
978-3-319-44299-0
DOI
10.1007/978-3-319-44299-0
Hardcover ISBN
978-3-319-44298-3
Softcover ISBN
978-3-319-83034-6
Edition Number
1
Number of Pages
X, 305
Topics

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