Invariance in the class of weighted quasi-arithmetic means

Justyna Jarczyk, and Janusz Matkowski. "Invariance in the class of weighted quasi-arithmetic means." Annales Polonici Mathematici 88.1 (2006): 39-51. <http://eudml.org/doc/280717>.

@article{JustynaJarczyk2006,
abstract = {Under the assumption of twice continuous differentiability of some of the functions involved we determine all the weighted quasi-arithmetic means M,N,K such that K is (M,N)-invariant, that is, K∘(M,N) = K. Some applications to iteration theory and functional equations are presented.},
author = {Justyna Jarczyk, Janusz Matkowski},
journal = {Annales Polonici Mathematici},
keywords = {mean; quasi-arithmetic mean; invariance equation.},
language = {eng},
number = {1},
pages = {39-51},
title = {Invariance in the class of weighted quasi-arithmetic means},
url = {http://eudml.org/doc/280717},
volume = {88},
year = {2006},
}

TY - JOUR
AU - Justyna Jarczyk
AU - Janusz Matkowski
TI - Invariance in the class of weighted quasi-arithmetic means
JO - Annales Polonici Mathematici
PY - 2006
VL - 88
IS - 1
SP - 39
EP - 51
AB - Under the assumption of twice continuous differentiability of some of the functions involved we determine all the weighted quasi-arithmetic means M,N,K such that K is (M,N)-invariant, that is, K∘(M,N) = K. Some applications to iteration theory and functional equations are presented.
LA - eng
KW - mean; quasi-arithmetic mean; invariance equation.
UR - http://eudml.org/doc/280717
ER -