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Bernstein's Inequality

Let P be a polynomial of degree n with derivative P^'. Then

||P^'||_infty<=n||P||_infty,

where

||P||_infty=max_(|z|=1)|P(z)|.

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Cite this as:

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

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