A Limit Function for Equidistant Fourier Interpolation Original Research Article

Denote by sn the nth order Fourier polynomial of the odd function f of period 2π equal to 1 on ]0, π[. The Gibbs phenomenon is caused by the well-known fact that [formula] An analogous Gibbs phenomenon is caused by a similar limiting behaviour of s*n, the nth order trigonometric polynomial interpolating f at jπ/n (1 ≤ j ≤ 2n).