# Young inequality

Let $a,b>0$ and $p,q\in ]0,\mathrm{\infty}[$ with $1/p+1/q=1$. Then

$$ab\le \frac{{a}^{p}}{p}+\frac{{b}^{q}}{q}.$$ |

Title | Young inequality^{} |
---|---|

Canonical name | YoungInequality |

Date of creation | 2013-03-22 13:30:08 |

Last modified on | 2013-03-22 13:30:08 |

Owner | paolini (1187) |

Last modified by | paolini (1187) |

Numerical id | 6 |

Author | paolini (1187) |

Entry type | Theorem |

Classification | msc 46E30 |

Related topic | YoungsInequality |