Zeros of trigonometric polynomials
( go to the article → https://www.johndcook.com/blog/2021/01/14/sturmhurwitz/ )
A periodic function has at least as many real zeros as its lowest frequency Fourier component. In more detail, the SturmHurwitz theorem says that has at least 2n zeros in the interval [0, 2π) if an and bn are not both zero. You could take N to be infinity if you’d like. Note that the […]
The post Zeros of trigonometric polynomials first appeared on John D. Cook.
Jan. 15, 2021, 1:30 a.m.
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