Invariance in the class of weighted quasi-arithmetic means

• Autorzy: Justyna Jarczyk , Janusz Matkowski
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 39B22: Equations for real functions
• 26E60: Means

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 2006
• Tom: 88
• Numer: 1
• Strony: 39-51

Daty

wydano

2006

Twórcy

autor

Justyna Jarczyk

• Faculty of Mathematics, Computer Science and Econometrics, University of Zielona Góra, Szafrana 4a, 65-516 Zielona Góra, Poland

autor

Janusz Matkowski

• Faculty of Mathematics, Computer Science and Econometrics, University of Zielona Góra, Szafrana 4a, 65-516 Zielona Góra, Poland
• Institute of Mathematics, Silesian University, Bankowa 14, 40-007 Katowice, Poland

Identyfikatory

DOI

10.4064/ap88-1-3