Abstract :
[en] The invariance identity involving three operations D_{f,g} : X x X -> X of the form
D_{f,g} (x,y) = (f o g)^{-1} (f (x) + g (y)) ,
is proposed. The connections of these operations with means is investigated.
The question when the invariance equality admits three means leads to a com-
posite functional equation. Problem to determine its continuous solutions is
posed
Scopus citations®
without self-citations
0