A bump function (blue) interpolated via Fourier series (orange) created from 10 samples 0.04598 0.09197 0.138 0.1839 0.2299 0.2759 0.3219 0.3679 -0.8 -0.6 -0.4 -0.2 5.551e-17 0.2 0.4 0.6 0.8 1