D.S. Morgan Mathematics

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\(ML\)-inequality

Theorem 1.1 (\(ML\)-inequality). If \(f\) is continuous on a contour \(\Gamma \) of length \(L\) and \(\abs {f(z)} \leq M\) for all \(z\) on \(\Gamma \), then

\[ \absStar{\int _\Gamma f(z) \dd z} \leq ML. \]

Source: [1, ch. 4]