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Lecture Notes in Mathematics

Norm Inequalities for Derivatives and Differences

Authors: Kwong, Man K., Zettl, Anton

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About this book

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.

Table of contents (5 chapters)

Table of contents (5 chapters)
  • Introduction

    Pages 1-2

    Kwong, Man Kam (et al.)

  • Unit weight functions

    Pages 3-34

    Kwong, Man Kam (et al.)

  • The norms of y,y′,y″

    Pages 35-83

    Kwong, Man Kam (et al.)

  • Weights

    Pages 84-116

    Kwong, Man Kam (et al.)

  • The difference operator

    Pages 117-143

    Kwong, Man Kam (et al.)

Buy this book

eBook 21,39 €
price for Spain (gross)
  • ISBN 978-3-540-47548-4
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover 25,99 €
price for Spain (gross)
  • ISBN 978-3-540-56387-7
  • Free shipping for individuals worldwide
  • Immediate ebook access, if available*, with your print order
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
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Bibliographic Information

Bibliographic Information
Book Title
Norm Inequalities for Derivatives and Differences
Authors
Series Title
Lecture Notes in Mathematics
Series Volume
1536
Copyright
1992
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-540-47548-4
DOI
10.1007/BFb0090864
Softcover ISBN
978-3-540-56387-7
Series ISSN
0075-8434
Edition Number
1
Number of Pages
VIII, 152
Topics

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