Articles liés à Norm Inequalities for Derivatives and Differences

Norm Inequalities for Derivatives and Differences - Couverture souple

Kwong, Man K.

 
9783540563877: Norm Inequalities for Derivatives and Differences
Couverture souple
ISBN 10 : 3540563873 ISBN 13 : 9783540563877
Editeur : Springer Berlin Heidelberg, 2010

Synopsis

Norm inequalities relating (i) a function and two of its derivatives and (ii) a sequence and two of its differences are studied. Detailed elementary proofs of basic inequalities are given. These are accessible to anyone with a background of advanced calculus and a rudimentary knowledge of the Lp and lp spaces. The classical inequalities associated with the names of Landau, Hadamard, Hardy and Littlewood, Kolmogorov, Schoenberg and Caravetta, etc., are discussed, as well as their discrete analogues and weighted versions. Best constants and the existence and nature of extremals are studied and many open questions raised. An extensive list of references is provided, including some of the vast Soviet literature on this subject.

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Éditeur
Springer Berlin Heidelberg
Date d'édition
2010
Langue
anglais
ISBN 10 
3540563873
ISBN 13 
9783540563877
Reliure
Broché
Nombre de pages
160
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