Norm inequalities for derivatives and differences / Man K. Kwong and Anton Zettl.

Author
Kwong, Man Kam, 1947- [Browse]
Format
Book
Language
English
Εdition
1st ed. 1992.
Published/​Created
  • Berlin, Germany ; New York, New York : Springer-Verlag, [1993]
  • ©1993
Description
1 online resource (VIII, 152 p.)

Details

Subject(s)
Author
Series
  • Lecture Notes in Mathematics, 1536 [More in this series]
  • Lecture Notes in Mathematics, 0075-8434 ; 1536
Summary note
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.
Source of description
Description based on print version record.
Contents
  • Unit weight functions
  • The norms of y,y?,y?
  • Weights
  • The difference operator.
ISBN
3-540-47548-6
OCLC
1066184996
Doi
  • 10.1007/BFb0090864
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