Opuscula Math. 29, no. 4 (), 423-425
http://dx.doi.org/10.7494/OpMath.2009.29.4.423
Opuscula Mathematica

# Extensions of solutions of a functional equation in two variables

Abstract. An extension theorem for the functional equation of several variables $f(M(x,y))=N(f(x),f(y)),$ where the given functions $$M$$ and $$N$$ are left-side autodistributive, is presented.
Keywords: functional equation, autodistributivity, strict mean, extension theorem.
Mathematics Subject Classification: 39B22.