Overview
- Authors:
-
-
Ravi P. Agarwal
-
Department of Mathematics, Texas A&M University–Kingsville, Kingsville, 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
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
Includes supplementary material: sn.pub/extras
Access this book
Other ways to access
Table of contents (7 chapters)
-
-
- Ravi P. Agarwal, Donal O’Regan, Samir H. Saker
Pages 1-48
-
- Ravi P. Agarwal, Donal O’Regan, Samir H. Saker
Pages 49-67
-
- Ravi P. Agarwal, Donal O’Regan, Samir H. Saker
Pages 69-89
-
- Ravi P. Agarwal, Donal O’Regan, Samir H. Saker
Pages 91-120
-
- Ravi P. Agarwal, Donal O’Regan, Samir H. Saker
Pages 121-151
-
- Ravi P. Agarwal, Donal O’Regan, Samir H. Saker
Pages 153-219
-
- Ravi P. Agarwal, Donal O’Regan, Samir H. Saker
Pages 221-294
-
Back Matter
Pages 295-305
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-type
inequalities and their extensions on time scales.
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)
Authors and Affiliations
-
Department of Mathematics, Texas A&M University–Kingsville, Kingsville, USA
Ravi P. Agarwal
-
School of Mathematics Statistics and Applied Mathematics, National University of Ireland, Galway, Ireland
Donal O'Regan
-
Department of Mathematics, Mansoura University, Mansoura, Egypt
Samir H. Saker
About the authors
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.