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NFourierTrigSeries

NFourierTrigSeries[expr, t, k]
gives a numerical approximation to the order n Fourier trigonometric series expansion of expr, where expr is a periodic function of t with period 1.

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To use NFourierTrigSeries, you first need to load the Fourier Series Package using Needs["FourierSeries`"].

The numerical approximation to the order n Fourier exponential series expansion of expr is by default defined to be .

The coefficient c_k is defined to be and the coefficient d_k is defined to be .

Different choices for the period of expr can be specified using the option FourierParameters.

With the setting FourierParameters->{a, b}, expr is assumed to have a period of , and the order n Fourier exponential series expansion computed by NFourierTrigSeries is . Here, the coefficient c_k is defined to be and the coefficient d_k is defined to be .

The parameter b in the setting FourierParameters->{a, b} must be numeric.

In addition to the option FourierParameters, NFourierTrigSeries can also accept the options available to NIntegrate. These options are passed directly to NIntegrate.