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Nesbitt's inequality (Theorem)

Nesbitt's inequality says, that for positive real $ a$, $ b$ and $ c$ we have:

$\displaystyle \frac{a}{b+c}+\frac{b}{a+c}+\frac{c}{a+b}\geq\frac{3}{2}.$
This is a special case of Shapiro's inequality.



"Nesbitt's inequality" is owned by mathwizard.
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See Also: Shapiro inequality


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proof of Nesbitt's inequality (Proof) by mathwizard
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Cross-references: Shapiro's inequality, real, positive
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This is version 4 of Nesbitt's inequality, born on 2002-04-26, modified 2005-02-23.
Object id is 2875, canonical name is NesbittsInequality.
Accessed 4833 times total.

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AMS MSC: 00A07 (General :: General and miscellaneous specific topics :: Problem books)
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