Pointwise error bounds for orthogonal cardinal spline approximation

  • Authors:

  • S. Ehrich

  • Affiliations:

  • GSF-Research Center for Environment and Health, Institute of Biomathematics and Biometry, Ingolstádter Landstr. 1, D-85764 Neuherberg, Germany

  • Venue:
  • Applied Mathematics and Computation - Orthogonal systems and applications
  • Year:
  • 2002

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Abstract

For orthogonal cardinal spline approximation, closed form expressions of the reproducing kernel and the Peano kernels in terms of exponential splines are proved. Concrete and sharp pointwise error bounds are deduced for low degree splines.