# Nesbitt’s inequality

Nesbitt’s inequality^{} says, that for positive real $a$, $b$ and $c$ we have:

$$\frac{a}{b+c}+\frac{b}{a+c}+\frac{c}{a+b}\ge \frac{3}{2}.$$ |

This is a special case of Shapiro’s inequality.

Title | Nesbitt’s inequality |
---|---|

Canonical name | NesbittsInequality |

Date of creation | 2013-03-22 12:36:59 |

Last modified on | 2013-03-22 12:36:59 |

Owner | mathwizard (128) |

Last modified by | mathwizard (128) |

Numerical id | 7 |

Author | mathwizard (128) |

Entry type | Theorem |

Classification | msc 00A07 |

Related topic | ShapiroInequality |