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Home/Magazine Archive/August 1969 (Vol. 12, No. 8)/Error bounds for periodic quintic splines/Abstract

Error bounds for periodic quintic splines

By Charles Allan Hall
Communications of the ACM, August 1969, Vol. 12 No. 8, Pages 450-452
10.1145/363196.363206
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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.

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