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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)

Buy this book

eBook $29.99
price for USA in USD
  • 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 $39.99
price for USA in USD
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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