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Norm Inequalities for Derivatives and Differences

Name: Norm Inequalities for Derivatives and Differences
Brand: Springer, Berlin
SKU: 01565609
Price: 22.89 EUR
Availability: InStock
Author: Man K. Kwong
ISBN: 9783540563877

Man K. Kwong

Anton Zettl

Language

English

Book Paperback

Libristo code: 01565609

Publishers Springer, Berlin, November 1992

Norm inequalities relating (i) a function and two of its§derivatives and (ii) a sequence and two of... Full description

Libristo code: 01565609

56 b

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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.