Extensions of solutions of a functional equation in two variables

• Autorzy: Matkowski J.
• Języki publikacji: EN

Abstrakty

EN

An extension theorem for the functional equation of several variables ƒ (M(x,y))=N(ƒ(x), ƒ (y)), where the given functions M and N are left-side autodistributive, is presented.

Słowa kluczowe

EN

functional equation; autodistributivity; strict mean; extension theorem

• Wydawca: AGH University of Science and Technology Press
• Czasopismo: Opuscula Mathematica
• Rocznik: 2009
• Tom: Vol. 29, no. 4
• Strony: 423--425
• Opis fizyczny: Bibliogr. 2 poz.

Twórcy

autor

Matkowski J.

• University of Zielona Góra Institute of Mathematics, Computer Science and Econometry, ul. Podgórna 50, 65-246 Zielona Góra, Poland,

Bibliografia

• [1] J. Matkowski, Convex functions with respect to a mean and a characterization a quasi-arithmetic mean, Real Anal. Exchange 29 (2003/2004) 1, 220–246.
• [2] Zs. Páles, Extension theorems for functional equations with bisymmetric operations, Aequationes Math. 63 (2002), 266–291.