Caratterizzazione di classi di funzioni della forma F(x,y) = φ(h(x)+k(y)).
Stochastica, Tome 13 (1992) no. 1, p. 115.
Voir la notice de l'article dans European Digital Mathematics Library
A characterization of some classes of functions F which have a representation of the formF(x,y) = φ(h(x)+k(y))is given, when F is monotonic in each variable but not strictly monotonic. Some particular results concern classes of solutions of the bisymmetry or associativity equations.
Classification :
39B22
Mots-clés : Análisis funcional, Funciones de varias variables, Funciones asociativas, Representaciones, bisymmetry equation, characterization, associativity equations
Mots-clés : Análisis funcional, Funciones de varias variables, Funciones asociativas, Representaciones, bisymmetry equation, characterization, associativity equations
@article{STO_1992__13_1_39287, author = {Daniela Rusconi}, title = {Caratterizzazione di classi di funzioni della forma {F(x,y)} = \ensuremath{\varphi}(h(x)+k(y)).}, journal = {Stochastica}, pages = {115}, publisher = {mathdoc}, volume = {13}, number = {1}, year = {1992}, mrnumber = {MR1197332}, zbl = {0770.39006}, language = {it}, url = {https://geodesic-test.mathdoc.fr/item/STO_1992__13_1_39287/} }
Daniela Rusconi. Caratterizzazione di classi di funzioni della forma F(x,y) = φ(h(x)+k(y)).. Stochastica, Tome 13 (1992) no. 1, p. 115. https://geodesic-test.mathdoc.fr/item/STO_1992__13_1_39287/