Error bounds for periodic quintic splines

  • Authors:

  • Charles Allan Hall

  • Affiliations:

  • Westinghouse Electric Corp., West Mifflin, PA

  • Venue:
  • Communications of the ACM
  • Year:
  • 1969

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Abstract

Explicit error bounds for periodic quintic spline interpolation are developed. The first (third) derivative of the periodic spline is shown to be a sixth (fourth) order approximation at the mesh points to the first (third) derivative of the function being interpolated.