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读者都熟悉柯西不等式将其中的ai2换成bi,bi2换成ai/bi,则有即 等号当且仅当ai=λbi时成立. 这个结果通常被称为权方和不等式,它其实是柯西不等式的一个推论.权方和不等式对于含分式之和的不等式问题,是很有用的.
The reader is familiar with the Cauchy inequality which replaces ai2 with bi, and bi2 with ai/bi. Then the equal sign is established if and only if ai = λbi. This result is often called the power and inequality. It is actually A corollary of Cauchy inequality. The weights and inequalities are useful for the problem of inequalities with sums of fractions.