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Putnam 1999 A5

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December 22, 2012
Putnampolynomialintegrationcalculusinequalitiescollege contestsreal analysis

Problem Statement

Prove that there is a constant CC such that, if p(x)p(x) is a polynomial of degree 19991999, then ∣p(0)∣≤C∫−11∣p(x)∣ dx.|p(0)|\leq C\int_{-1}^1|p(x)|\,dx.
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