Invariance identity in the class of generalized quasiarithmetic means
Janusz Matkowski
Colloquium Mathematicae, Tome 135 (2014), p. 221-228 / Harvested from The Polish Digital Mathematics Library
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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.

Publié le : 2014-01-01
EUDML-ID : urn:eudml:doc:284059 
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     title = {Invariance identity in the class of generalized quasiarithmetic means},
     journal = {Colloquium Mathematicae},
     volume = {135},
     year = {2014},
     pages = {221-228},
     zbl = {1320.26033},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm137-2-7}
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Janusz Matkowski. Invariance identity in the class of generalized quasiarithmetic means. Colloquium Mathematicae, Tome 135 (2014) pp. 221-228. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm137-2-7/