Invariance in the class of weighted quasi-arithmetic means
Justyna Jarczyk ; Janusz Matkowski
Annales Polonici Mathematici, Tome 89 (2006), p. 39-51 / Harvested from The Polish Digital Mathematics Library
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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.

Publié le : 2006-01-01
EUDML-ID : urn:eudml:doc:280717 
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Justyna Jarczyk; Janusz Matkowski. Invariance in the class of weighted quasi-arithmetic means. Annales Polonici Mathematici, Tome 89 (2006) pp. 39-51. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap88-1-3/