Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4618693 | Journal of Mathematical Analysis and Applications | 2011 | 13 Pages |
Abstract
The invariance of the geometric mean G with respect to the Cauchy mean-type mapping (Df,g,Dh,k), i.e. the equation G∘(Df,g,Dh,k)=G, is considered. We give some necessary, and necessary and sufficient conditions under assumption that one of the generators of each Cauchy means is a power function.
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