Determine the real Fourier series for $f(t) = t^2$ with $t \in [0, 1[$ which converges as quickly as possible

167 Views Asked by At

Determine the real Fourier series for $f(t) = t^2$ with $t \in [0, 1[$.

How would you periodically expand this so that the Fourier series converges as fast as possible? Would this be a good expansion?

Graph

Function