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Lösung zu 542 (26, 65, G. Pólya). - MaRDI portal

Lösung zu 542 (26, 65, G. Pólya). (Q1465542)

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scientific article; zbMATH DE number 2606256
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Lösung zu 542 (26, 65, G. Pólya).
scientific article; zbMATH DE number 2606256

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    Lösung zu 542 (26, 65, G. Pólya). (English)
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    1919
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    Es seien \(a, b, c\) positiv und nicht sämtlich untereinander gleich. Dann ist \[ \frac {3}{ \frac {bc}{a} + \frac {ca}{b} + \frac {ab}{c}}< \frac 12 \int_0^\infty \frac {du}{\sqrt{(a^2 +u)(b^2 +u)(c^2 +u)}}< \frac {\frac{ a}{bc} + \frac {b}{ca} + \frac {c}{ab}}{3}. \]
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