Opuscula Mathematica
Opuscula Math. 29, no. 4 (2009), 423-425

Extensions of solutions of a functional equation in two variables

Janusz Matkowski
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.
Full text (pdf)
About the authors ▼
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
About the article ▼
Received: 2009-08-11.
Revised: 2009-08-18.
Accepted: 2009-08-21.
Cite this article as ▼
Janusz Matkowski, Extensions of solutions of a functional equation in two variables, Opuscula Math. 29, no. 4 (2009), 423-425, http://dx.doi.org/10.7494/OpMath.2009.29.4.423.
Download this article's citation as: