Means | Mathematical analysis

Chisini mean

In mathematics, a function f of n variables x1, ..., xn leads to a Chisini mean M if for every vector , there exists a unique M such that f(M,M, ..., M) = f(x1,x2, ..., xn). The arithmetic, harmonic, geometric, generalised, Heronian and quadratic means are all Chisini means, as are their weighted variants. They were introduced by Oscar Chisini in 1929. (Wikipedia).

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Related pages

Geometric mean | Oscar Chisini | Quasi-arithmetic mean | Mathematics | Fréchet mean | Heronian mean | Harmonic mean | Generalized mean | Stolarsky mean | Arithmetic mean | Jensen's inequality