Hello,
Does anyone have a link showing an example of a fourier series pertaining to 2 non-periodic functions?
I need help getting a single fourier series for the following function:
Thanks!
Only periodic functions have Fourier series. (For non-periodic functions, you use Fourier transforms).
You want a Fourier series for the single periodic function
f(x)= x for
f(x)= 1 for
and "extended by periodicity": f(x+ 2)= f(x).
Use the usual formulas for the Fourier coefficients. You will need to break the integral into two parts, from 0 to 1 and from 1 to 2.