Hardy Type Inequalities on Time Scales / by Ravi P. Agarwal, Donal O'Regan, Samir H. Saker
データ種別 | 電子書籍 |
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出版者 | Cham : Springer International Publishing : Imprint: Springer |
出版年 | 2016 |
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書誌ID | OB01018361 |
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本文言語 | 英語 |
一般注記 | License restrictions may limit access Summary: 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 |
著者標目 | *Agarwal, Ravi P O'Regan, Donal Saker, Samir H SpringerLink (Online service) |
件 名 | LCSH:Mathematics LCSH:Functional analysis LCSH:Measure theory FREE:Mathematics FREE:Functional Analysis FREE:Measure and Integration |
分 類 | LCC:QA319-329.9 DC23:515.7 |
巻冊次 | ISBN:9783319442990 RefWorks出力(各巻) print ; ISBN:9783319442983 RefWorks出力(各巻) |
資料種別 | 機械可読データファイル |
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