| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4624260 | Journal of Mathematical Analysis and Applications | 2006 | 15 Pages |
Abstract
If M is a mean on and M(f(x1),f(x2),…,f(xn))=f(M(x1,x2,…,xn)) then we say that M is invariant under f. The problem is to find a class of functions that by invariance determines a mean uniquely. We focus on the geometric mean, which can be transformed to obtain results for other means.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
