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  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
Norm Inequalities for Derivatives and Differences

Norm Inequalities for Derivatives and Differences

Kwong, Man K.
Zettl, Anton

Paperback

Series: Lecture Notes in Mathematics, Book 1536

CalculusGeneral Mathematics

ISBN10: 3540563873
ISBN13: 9783540563877
Publisher: Springer Nature
Published: Jan 29 1993
Pages: 152
Weight: 0.51
Height: 0.34 Width: 6.14 Depth: 9.21
Language: English
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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