Norm Inequalities for Derivatives and Differences (Lecture Notes in Mathematics, 1536, Band 1536) - Softcover

Kwong, Man K.

 
9783540563877: Norm Inequalities for Derivatives and Differences (Lecture Notes in Mathematics, 1536, Band 1536)
Softcover
ISBN 10: 3540563873 ISBN 13: 9783540563877
Verlag: Springer Berlin Heidelberg, 2010

Inhaltsangabe

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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Verlag
Springer Berlin Heidelberg
Erscheinungsdatum
2010
Sprache
Englisch
ISBN 10 
3540563873
ISBN 13 
9783540563877
Einband
Taschenbuch
Anzahl der Seiten
160
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