Rate of natural cubic spline convergence

Suppose you want to approximate a function with a polynomial by interpolating it at evenly spaced points. You might reasonably expect that the more points you use, the better the approximation will be. That might be true, but it might not. As explained here, for some functions the maximum approximation error actually increases as the […] The post Rate of natural cubic spline convergence first appeared on John D. Cook....

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