when calculating the maximum square error I have this formula $$E^* = \int_{-\pi}^{\pi}f^2 dx - \pi \left[ 2a_0^2 + \sum_{n = 1}^N (a_n^2 + b_n^2) \right ]$$ But I was wondering, if I have a complex fourier series, can I just exchange $a_n$ & $b_n$ with $c_n$ like this $$E^* = \int_{-\pi}^{\pi}f^2 dx - \pi \left[ 2a_0^2 + \sum_{n = 1}^N c_n^2 \right ]$$
2026-05-05 06:47:16.1777963636
Using complex fourier series when calculating maximum square error.
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