Geodesic
Invariance identity in the class of generalized quasiarithmetic means
Janusz Matkowski1
1 Faculty of Mathematics, Informatics and Econometrics University of Zielona Góra 65-516 Zielona Góra, Poland
Colloquium Mathematicum, Tome 137 (2014) no. 2, pp. 221-228.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

An invariance formula in the class of generalized $p$-variable quasiarithmetic means is provided. An effective form of the limit of the sequence of iterates of mean-type mappings of this type is given. An application to determining functions which are invariant with respect to generalized quasiarithmetic mean-type mappings is presented.
DOI : 10.4064/cm137-2-7
Keywords: invariance formula class generalized p variable quasiarithmetic means provided effective form limit sequence iterates mean type mappings type given application determining functions which invariant respect generalized quasiarithmetic mean type mappings presented

Janusz Matkowski 1

1 Faculty of Mathematics, Informatics and Econometrics University of Zielona Góra 65-516 Zielona Góra, Poland 
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Janusz Matkowski. Invariance identity in the class
 of generalized quasiarithmetic means. Colloquium Mathematicum, Tome 137 (2014) no. 2, pp. 221-228. doi : 10.4064/cm137-2-7. http://geodesic.mathdoc.fr/articles/10.4064/cm137-2-7/

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