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Norm Inequalities for Derivatives and Differences / Edition 1
     

Norm Inequalities for Derivatives and Differences / Edition 1

by Man K. Kwong
 

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ISBN-10: 3540563873

ISBN-13: 9783540563877

Pub. Date: 03/05/1993

Publisher: Springer Berlin Heidelberg

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

Overview

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.

Product Details

ISBN-13:
9783540563877
Publisher:
Springer Berlin Heidelberg
Publication date:
03/05/1993
Series:
Lecture Notes in Mathematics Series , #1536
Edition description:
1992
Pages:
152
Product dimensions:
9.21(w) x 6.14(h) x 0.34(d)

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