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Norm Inequalities for Derivatives and Differences

Product Image: Norm Inequalities for Derivatives and Differences

Norm Inequalities for Derivatives and Differences

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Description
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
Binding:
Paperback
Edition:
1
Number of Pages:
160
Release Date:
2010-06-02
Publication Date:
1993-01-29
Publisher:
Springer
Languages:
Original: English
ISBN10:
3540563873
ISBN13:
9783540563877
GPSR Manufacturer Reference:
Weight:
254 g
Height:
155 cm
Width:
235 cm
Thickness:
9 cm
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