9. Sinc interpolation
We've seen that it's possible to efficiently approximate a smooth function from an equidistant sample over an interval, with algebraic convergence in general, and even exponential convergence if f is both periodic and analytic. We will now see that periodicity is not necessary for this if f is defined on any and decays sufficiently rapidly to infinity.
The formula (41) can also be written as
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Sinc interpolation
Bibliography
Software
Chebfun Version 4.2 by TREFETHEN (L.N.) and the Chebfun Development Team 2011 :
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