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Determination of means by invariance
- Source :
-
Journal of Mathematical Analysis & Applications . Oct2006, Vol. 322 Issue 1, p453-467. 15p. - Publication Year :
- 2006
-
Abstract
- Abstract: If M is a mean on and 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. [Copyright &y& Elsevier]
- Subjects :
- *MATHEMATICAL symmetry
*ANALYSIS of means
*SET theory
*MATHEMATICAL functions
Subjects
Details
- Language :
- English
- ISSN :
- 0022247X
- Volume :
- 322
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- Journal of Mathematical Analysis & Applications
- Publication Type :
- Academic Journal
- Accession number :
- 20901852
- Full Text :
- https://doi.org/10.1016/j.jmaa.2005.09.035