Opuscula Math. 29, no. 4 (2009), 423-425
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.
- Received: 2009-08-11.
- Revised: 2009-08-18.
- Accepted: 2009-08-21.