- Elementary symmetric mean
The

**elementary symmetric mean**is based onelementary symmetric polynomial s.If $x$ is atuple with $x\; =\; (x\_1,dots,x\_n)$ and$alpha\_p(x)$ is the corresponding elementary symmetric term of order $p$,then the respective mean is:$M\_p(x)\; =\; sqrt\; [p]\; \{frac\{alpha\_p(x)\}$n choose p}.**pecial cases***$M\_1(x)$ is the

arithmetic mean .

*$M\_n(x)$ is thegeometric mean .**ee also***The elementarsymmetric means are similar to

a-mean s.

*mean

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