teorema lui Bernstein, 1912

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Cezar Lupu
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teorema lui Bernstein, 1912

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Fie \( P(z)=a_{0}+a_{1}z+\ldots a_{n-1}z^{n-1} \) un polinom complex pentru care \( M=\max_{ |z| \leq 1} | P(z) | \). Sa se arate ca \( | P\prime(z) | \leq M(n-1) \) pentru \( |z| \leq 1 \).
An infinite number of mathematicians walk into a bar. The first one orders a beer. The second orders half a beer. The third, a quarter of a beer. The bartender says “You’re all idiots”, and pours two beers.
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