Opuscula Math. 29, no. 4 (2009), 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.
- Janusz Matkowski
- University of Zielona Góra, Institute of Mathematics, Computer Science and Econometrics, ul. Podgórna 50, 65-246 Zielona Góra, Poland
- Silesian University, Institute of Mathematics, 40-007 Katowice, Poland
- Received: 2009-08-11.
- Revised: 2009-08-18.
- Accepted: 2009-08-21.
