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<図書>
Norm inequalities for derivatives and differences

責任表示 Man Kam Kwong, Anton Zettl
シリーズ Lecture notes in mathematics ; 1536
データ種別 図書
出版者 Berlin ; Tokyo : Springer-Verlag
出版年 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
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所蔵情報


理系図3F 数理独自 068222193001556 SER/LNM/1536 1992

理系図 自動書庫 068582193001511 410.8/L 493/(1536) 1992

書誌詳細

一般注記 Bibliography: p. [144]-148
Includes index
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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