Trigonometric interpolation
Function approximation

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AF1480 V1 Article

Trigonometric interpolation


Function approximation

Author : Jean-Paul BERRUT

Publication date: October 10, 2013 | Lire en français

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7. Trigonometric interpolation

How can we understand the efficiency of Chebyshev interpolation between points? By noting that it's also trigonometric interpolation of even periodic functions between equidistant points! To see this, let's change the variable again

x=cosϕϕ=arccosx( 37 )

and use

Tk(x)=cos(k
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