A LIMIT FUNCTION FOR EQUIDISTANT FOURIER INTERPOLATION

Denote by s(n) the nth order Fourier polynomial of the odd function f of period 2 pi equal to 1 on ]0, pi[. The Gibbs phenomenon is caused b y the well-known fact that [GRAPHICS] An analogous Gibbs phenomenon is caused by a similar limiting behaviour of s(n), the nth order trigon ometric polynomial interpolating f at j pi/n (1 less than or equal to j less than or equal to 2n). (C) 1995 Academic Press, Inc.