Invariance identity in the class of generalized quasiarithmetic means

Janusz Matkowski. "Invariance identity in the class of generalized quasiarithmetic means." Colloquium Mathematicae 137.2 (2014): 221-228. <http://eudml.org/doc/284059>.

@article{JanuszMatkowski2014,
abstract = {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.},
author = {Janusz Matkowski},
journal = {Colloquium Mathematicae},
keywords = {generalized quasiarithmetic mean; mean-type mapping; iteration; invariant mean; invariant function; functional equation},
language = {eng},
number = {2},
pages = {221-228},
title = {Invariance identity in the class of generalized quasiarithmetic means},
url = {http://eudml.org/doc/284059},
volume = {137},
year = {2014},
}

TY - JOUR
AU - Janusz Matkowski
TI - Invariance identity in the class of generalized quasiarithmetic means
JO - Colloquium Mathematicae
PY - 2014
VL - 137
IS - 2
SP - 221
EP - 228
AB - 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.
LA - eng
KW - generalized quasiarithmetic mean; mean-type mapping; iteration; invariant mean; invariant function; functional equation
UR - http://eudml.org/doc/284059
ER -