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In mathematics, a function ''f'' of ''n'' variables
:''x''₁, ..., ''x''_''n''
leads to a 'Chisini mean' ''M'' if for every vector <x₁ ... x_n>, there exists a unique ''M'' such that
:''f''(''M'',''M'', ..., ''M'') = ''f''(''x''₁,''x''₂, ..., ''x''_''n'').
The arithmetic, harmonic, geometric, generalised, Heronian and quadratic means are all Chisini means, as are the weighted variants thereof.

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Reference

Reference

They were introduced by Oscar Chisini, in the paper Chisini, O. "Sul concetto di media." Periodico di Matematiche 4, 106-116, 1929.