Asymptotic Error Expansions for Schoenberg Type Operators

  • Karol Dziedziul
  • Kurt Jetter
Conference paper
Part of the International Series of Numerical Mathematics book series (ISNM, volume 145)


We derive an asymptotic expansion of the L2-error of scaled Schoenberg operators in terms of powers of the scale parameter. The class of operators includes cardinal interpolation operators, in one or several variables. The polyphase case is also considered. Connections to multiwavelet expansions are inherent, but not worked out here.


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Copyright information

© Springer Basel AG 2003

Authors and Affiliations

  • Karol Dziedziul
    • 1
  • Kurt Jetter
    • 2
  1. 1.Faculty of Applied MathematicsTechnical University of Gdar¨ªskGdar¨ªskPoland
  2. 2.Institut f¨¹r Angewandte Mathematik und StatistikUniversität HohenheimStuttgartGermany

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