Problem 1764 (difficulty: 5/10)

Az \(\displaystyle f\) függvény reguláris az \(\displaystyle |z|<1+\varepsilon\) körlemezen. Igazold, hogy

\(\displaystyle \log|f(0)| \le \frac1{2\pi}\int_0^{2\pi} \log|f(e^{it})| \dt. \)

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