Invariance in the class of weighted quasi-arithmetic means
Tom 88 / 2006
Annales Polonici Mathematici 88 (2006), 39-51
MSC: Primary 26E60; Secondary 39B22.
DOI: 10.4064/ap88-1-3
Streszczenie
Under the assumption of twice continuous differentiability of some of the functions involved we determine all the weighted quasi-arithmetic means such that K is (M,N)-invariant, that is, K\circ (M,N)=K. Some applications to iteration theory and functional equations are presented.
