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[不等式] 不等式的名称

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lemondian posted 2021-3-1 22:52 |Read mode
这个称柯西不等式:
$(ac+bd)^2\leqslant (a^2+b^2)(c^2+d^2)$.
好象还有一个类似的不等式:
$(ac-bd)^2\leqslant (a^2+b^2)(c^2+d^2)$.请问:这个不等式有名称吗?

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kuing posted 2021-3-1 22:53
擦,柯西是对实数成立的,左边那里加和减根本没区别啊,难不成还要再另外叫它柯东不等式?

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original poster lemondian posted 2021-3-1 23:10
回复 2# kuing
呵呵,我前些日子看到过这个不等式,印象中有人叫它什么来着?一时不记得了,反正不是柯西,我也觉得奇怪。
今天又在某群里见到这个东东,故来问问,以解不惑.

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