# Common inequalities

Common inequalities

arithmetic mean≥geometric mean≥harmonic mean where | |

| where { f _{i}_{+1}≥f and {_{i}a} a sequence of real or complex numbers, and _{i}A = max {|a _{1}|,|a _{2}|,…|a|}._{n} |

| (1+ nx for integers n>1 and any real number x>−1. |

If | |

If b are real numbers, _{i}i=1, 2, …, n then | |

| If |

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If |