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 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

Voir la notice de l'article

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 
@article{10_4064_cm137_2_7,
     author = {Janusz Matkowski},
     title = {Invariance identity in the class
 of generalized quasiarithmetic means},
     journal = {Colloquium Mathematicum},
     pages = {221--228},
     year = {2014},
     volume = {137},
     number = {2},
     doi = {10.4064/cm137-2-7},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/cm137-2-7/}
}
TY  - JOUR
AU  - Janusz Matkowski
TI  - Invariance identity in the class
 of generalized quasiarithmetic means
JO  - Colloquium Mathematicum
PY  - 2014
SP  - 221
EP  - 228
VL  - 137
IS  - 2
UR  - http://geodesic.mathdoc.fr/articles/10.4064/cm137-2-7/
DO  - 10.4064/cm137-2-7
LA  - en
ID  - 10_4064_cm137_2_7
ER  - 
%0 Journal Article
%A Janusz Matkowski
%T Invariance identity in the class
 of generalized quasiarithmetic means
%J Colloquium Mathematicum
%D 2014
%P 221-228
%V 137
%N 2
%U http://geodesic.mathdoc.fr/articles/10.4064/cm137-2-7/
%R 10.4064/cm137-2-7
%G en
%F 10_4064_cm137_2_7
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

Cité par Sources :