A general class of means introduced by Italian mathematician Oscar Chisini (pronounced keeseenee) in 1929.

Given a function of variables , the Chisini mean of values associated with is defined as the number such that

Of course, the function must be chosen in such a way that there always is exactly one number with this property.

The most common means are Chisini means associated with the functions listed in the following table. Every weighted mean corresponds to the weight vector .

mean	function
arithmetic mean
weighted arithmetic mean
geometric mean
weighted geometric mean
harmonic mean
weighted harmonic mean
quadratic mean
weighted quadratic mean

This entry contributed by Margherita Barile

Chisini, O. "Sul concetto di media." Periodico di Matematiche 4, 106-116, 1929.

CITE THIS AS:

Barile, Margherita. "Chisini Mean." From MathWorld--A Wolfram Web Resource, created by Eric W. Weisstein. http://mathworld.wolfram.com/ChisiniMean.html