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 |  |
