TOPICS
Search

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.


Explore with Wolfram|Alpha

References

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

Referenced on Wolfram|Alpha

Bernstein's Polynomial Theorem

Cite this as:

Weisstein, Eric W. "Bernstein's Polynomial Theorem." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/BernsteinsPolynomialTheorem.html

Subject classifications