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Norm Inequalities for Derivatives and Differences
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Norm Inequalities for Derivatives and Differences (Paperback)

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Printed to order. Despatched in 2-3 weeks.
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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.

Science & MathematicsMathematicsCalculus & mathematical analysisDifferential calculus & equations Publisher: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG Publication Date: 29/01/1993 ISBN-13: 9783540563877  Details: Type: Paperback Format: Books
Availability: Printed to order. Despatched in 2-3 weeks.  

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