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Article | REF: AF1480 V1

Function approximation

Author: Jean-Paul BERRUT

Publication date: October 10, 2013

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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=cos ϕ⇔ϕ=arccos x( 37 )

and use

Tk(x)=cos(k
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