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# Chisini Mean

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

Arithmetic Mean, Geometric Mean, Harmonic Mean, Mean

This entry contributed by Margherita Barile

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## References

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

Chisini Mean

## Cite this as:

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