Weighted Moduli of Smoothness

  • Z. Ditzian
  • V. Totik
Part of the Springer Series in Computational Mathematics book series (SSCM, volume 9)


We shall need weighted moduli of smoothness in some significant situations of which the following are examples:
  1. (a)

    Investigation of the K-functional of the pair of spaces: a weighted L p space and a weighted Sobolev space.

  2. (b)

    Relation between modulus of smoothness of a function and that of its derivative (which turns out to be a weighted modulus of smoothness).

  3. (c)

    Applications to best weighted polynomial approximation.

  4. (d)

    Applications to weighted approximation of some linear operators.



Weighted Sobolev Space Smoothness Property Classical Modulus Weighted Modulus Gamma Operator 
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Copyright information

© Springer-Verlag New York Inc. 1987

Authors and Affiliations

  • Z. Ditzian
    • 1
  • V. Totik
    • 2
  1. 1.Department of MathematicsUniversity of AlbertaEdmontonCanada
  2. 2.Bolyai InstituteAttila Jozsef UniversitySzegedHungary

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