Qi. Rahman et Ao. Watt, ON TRIGONOMETRIC POLYNOMIALS WITH ONLY REAL ZEROS, Journal of mathematical analysis and applications, 182(2), 1994, pp. 405-408
Let t be a real trigonometric polynomial of degree n with only real ze
ros. Among the intervals [alpha, beta] where alpha, beta are consecuti
ve zeros of t those on which t deviates least from zero are of length
at most pi/n. (C) 1994 Academic Press, Inc.