Hardy Type Inequalities on Time Scales

The book is devoted to dynamic inequalities of Hardy type and extensionsand 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 inequalitiesvia convexity, Copson type inequalities, Copson-Beesack type inequalities,Liendeler type inequalities, Levinson type inequalities and Pachpatte typeinequalities, Bennett type inequalities, Chan type inequalities, and Hardytype inequalities with two different weight functions. These dynamic inequalitiescontain the classical continuous and discrete inequalities as specialcases when T = R and T = N and can be extended to different typesof inequalities on different time scales such as T = hN, h > 0, T = qN forq > 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 betweenthe time scale versions of the inequalities and the classical ones. To thebest of the authors' knowledge this is the first book devoted to Hardy-typeinequalities and their extensions on time scales.