Bernstein's Polynomial Theorem

If g(theta) is a trigonometric polynomial of degree m satisfying the condition |g(theta)|<=1 where theta is arbitrary and real, then g^'(theta)<=m.

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Szegö, G. Orthogonal Polynomials, 4th ed. Providence, RI: Amer. Math. Soc., p. 5, 1975.

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Bernstein's Polynomial Theorem

Cite this as:

Weisstein, Eric W. "Bernstein's Polynomial Theorem." From MathWorld--A Wolfram Web Resource.

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