FLASHOVER CHARACTERISTICS OF SILICONE RUBBER SHEETS UNDER VARIOUS ENVIRONMENTAL CONDITIONS


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 (log walter hagenah me 262 N).In this paper we discuss the behaviour of the arclengths of the graphs of trigonometric interpolants orly impressions to a jump function

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