Error Bounds for Periodic Quintic Splines 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. CACM August, 1969 Hall, C. A. spline, interpolation, error bounds 5.1 5.13 CA690804 JB February 15, 1978 5:58 PM 1859 5 1859 1859 5 1859 1859 5 1859