<図書>
Norm inequalities for derivatives and differences
| 責任表示 | Man Kam Kwong, Anton Zettl |
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| シリーズ | Lecture notes in mathematics ; 1536 |
| データ種別 | 図書 |
| 出版情報 | Berlin ; Tokyo : Springer-Verlag , c1992 |
| 本文言語 | 英語 |
| 大きさ | vi, 150 p. ; 25 cm |
| 概要 | Norm inequalities relating (i) a function and two of itsderivatives and (ii) a sequence and two of its differencesare studied. Detailed elementary proofs of basicinequalities are given. These are acc...ssible to anyone witha background of advanced calculus and a rudimentaryknowledge of the Lp and lp spaces.The classical inequalities associated with the names ofLandau, Hadamard, Hardy and Littlewood, Kolmogorov, Schoenberg and Caravetta, etc., are discussed, as well astheir discrete analogues and weighted versions. Bestconstants and the existence and nature of extremals arestudied and many open questions raised. An extensive list ofreferences is provided, including some of the vast Sovietliterature on this subject. 続きを見る |
所蔵情報
| 状態 | 巻次 | 所蔵場所 | 請求記号 | 刷年 | 文庫名称 | 資料番号 | コメント | 予約・取寄 | 複写申込 | 自動書庫 |
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理系図3F 数理独自 | SER/LNM/1536 | 1992 |
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068222193001556 |
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理系図 自動書庫 | 410.8/L 493/(1536) | 1992 |
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068582193001511 |
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書誌詳細
| 一般注記 | Bibliography: p. [144]-148 Includes index |
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| 著者標目 | *Kwong, Man Kam, 1947- Zettl, Anton |
| 件 名 | LCSH:Inequalities (Mathematics) LCSH:Difference equations |
| 分 類 | LCC:QA3 LCC:QA295 DC20:510 s DC20:515/.26 NDC8:413.8 |
| 書誌ID | 1000030792 |
| ISBN | 0387563873 |
| NCID | BA19408087 |
| 巻冊次 | : us ; ISBN:0387563873 : gw ; ISBN:3540563873 |
| 登録日 | 2009.09.10 |
| 更新日 | 2017.02.18 |
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