TOPICS
Search

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)|.

Explore with Wolfram|Alpha

Cite this as:

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

Subject classifications