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Question: What is wrong with this Fourier serie

Question:What is wrong with this Fourier serie

Alger 524 Maple 2016
amplitude fourier coefficients
July 08 2018
2

trig_interp3.mw

Hi all

I have this type of generalized Fourier serie: a0+Sum(an*cos(n*Pi*ln(x)/ln(2))+bn*sin(n*Pi*ln(x)/ln(2)), n = 1 .. N)

The coefficients I calculated and the results seems correct. However, the amplitude of Fourier expansion is twice the amplitude of the function.

Find in the attached file my maple code.

Regards
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