References
Aczél, J.,On mean values. Bull. Amer. Math. Soc.54 (1948), 392–400.
Aczél, J., Zur Charakterisierung nomographisch einfach darstellbarer Funktionen durch Differential- und Funktionalgleichungen. Acta Sci. Math. Szeged12 (A) (1950), 73–80.
Aczél, J.,Többváltozós függvényegyenletekröl 1.Elemi. megoldási módszerek többváltozós függvényegyenletekre. Math. Lapok2 (1951), 99–117.
Aczél, J.,Lectures on functional equations and their applications. Academic Press, New York-London, 1966.
Aczél, J., Bflousov, V. D. andHosszu, M.,Generalized associativity and bisymmetry on quasi-groups. Acta Math. Acad. Sci. Hung.11 (1960), 127–136.
Angheluta, T., Ecuatia functionala de bisimetrie. Studia Univ. Babes-Bolyai Math.3 (1958), 9–15.
Ling, C. H.,Representation of associative functions. Publ. Math. Debrecen12 (1965), 189–212.
Taylor, M. A.,The generalized equations of bisymmetry, associativity and transitivity on quasi-groups. Can. Math. Bull.15 (1972), 119–124.
Taylor, M. A.,Certain functional equations on groupoids weaker than quasi-groups. Aequationes Math.9 (1973), 23–29.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Paganoni, L., Rusconi, D. A characterization of some classes of functionsF of the formF(x, y) =g(αf(x) +βf(y) +γ) orF(x, y) =φ(h(x) +k(y)). Aeq. Math. 26, 138–162 (1983). https://doi.org/10.1007/BF02189678
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF02189678