Fourier periodic extensions of piecewise continuous functions

Branko Ćurgus


Definitions


Examples of Fourier periodic extensions

In each example below we start with a function on defined on an interval, plotted in blue; then we present the periodic extension of this function, plotted in red; then we present the Fourier extension of this function, plotted in green. The last figure in each example shows in one plot the Fourier extension and the approximation with the partial sum with 20 terms of the corresponding Fourier series.
Convergence of Fourier series