Title of article
Determination of means by invariance
Author/Authors
Jun Ji، نويسنده ,
Issue Information
دوهفته نامه با شماره پیاپی سال 2006
Pages
15
From page
453
To page
467
Abstract
If M is a mean on Rn
+ 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.
© 2005 Elsevier Inc. All rights reserved
Keywords
Arithmetic mean , Characterization by invariance , geometric mean , Quasi-arithmeticmean , Homomorphic mean
Journal title
Journal of Mathematical Analysis and Applications
Serial Year
2006
Journal title
Journal of Mathematical Analysis and Applications
Record number
934800
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