Faculté des sciences

A formula for the error of finite sinc-interpolation over a finite interval

Berrut, Jean-Paul

In: Numerical Algorithms, 2007, vol. 45, no. 1-4, p. 369-374

Sinc-interpolation is a very efficient infinitely differentiable approximation scheme from equidistant data on the infinite line. It, however, requires that the interpolated function decreases rapidly or is periodic. We give an error formula for the case where neither of these conditions is satisfied. Plus

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    Summary
    Sinc-interpolation is a very efficient infinitely differentiable approximation scheme from equidistant data on the infinite line. It, however, requires that the interpolated function decreases rapidly or is periodic. We give an error formula for the case where neither of these conditions is satisfied.