On the arclength of trigonometric interpolants
As pointed out recently by Strichartz [5], the arclength of the graph (Gamma(S_N(f))) of the partial sums (S_N(f)) of the Fourier series of a jump function (f) grows with the order of apple silk sarees (log N).In this paper we discuss the behaviour of the arclengths of the graphs of trigonometric interpolants to a jump function.Here the boundedness