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HARDY TYPE INEQUALITIES ON TIME SCALES IBD

DONAL O?REGAN / RAVI P AGARWAL / SAMIR H S
SPRINGER
06 / 2018
9783319830346
Inglés

Sinopsis

The book is devoted to dynamic inequalities of Hardy type and extensionsáand generalizations via convexity on a time scale T. In particular,áthe book contains the time scale versions of classical Hardy type inequalities,áHardy and Littlewood type inequalities, Hardy-Knopp type inequalitiesávia convexity, Copson type inequalities, Copson-Beesack type inequalities,áLiendeler type inequalities, Levinson type inequalities and Pachpatte typeáinequalities, Bennett type inequalities, Chan type inequalities, and Hardyátype inequalities with two different weight functions. These dynamic inequalitiesácontain the classical continuous and discrete inequalities as specialácases when T = R and T = N and can be extended to different typesáof inequalities on different time scales such as T = hN, h > 0, T = qN foráq > 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 betweenáthe time scale versions of the inequalities and the classical ones. To theábest of the authorsâÇÖ knowledge this is the first book devoted to Hardy-typeinequalities and their extensions on time scales.