Norm Inequalities for Derivatives and Differences: 1536 - Brossura

Kwong, Man K.

 
9783540563877: Norm Inequalities for Derivatives and Differences: 1536
Brossura
ISBN 10: 3540563873 ISBN 13: 9783540563877
Casa editrice: Springer Berlin Heidelberg, 2010

Sinossi

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 accessible 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.

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Contenuti

Unit weight functions.- The norms of y,y?,y?.- Weights.- The difference operator.

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Editore
Springer Berlin Heidelberg
Data di pubblicazione
2010
Lingua
Inglese
ISBN 10 
3540563873
ISBN 13 
9783540563877
Rilegatura
Copertina flessibile
Numero di pagine
160
Contatto del produttore
non disponibile
Persona responsabile
CMN Printpool Inh. Mathis Neumann
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