Artículo
The Aumann functional equation for general weighting procedures
Fecha de publicación:
08/2015
Editorial:
Springer
Revista:
Aequationes Mathematicae
ISSN:
0001-9054
e-ISSN:
1420-8903
Idioma:
Inglés
Tipo de recurso:
Artículo publicado
Clasificación temática:
Resumen
The functional equation of composite type
M(M(x; M(x; y)); M(M(x; y); y)) = M(x; y)
arose in the course of the studies on the problem of extension and restriction of the number of arguments of a mean M performed by G. Aumann at the third decade of the past century. A solution to (1) in the analytic case was ulteriorly obtained by Aumann himself and remained as a noteworthy characterization of analytic quasiarithmetic means. An ample generalization of equation (1) which involves general weighting operators is considered in this paper. Under mild conditions on the regularity of the involved means, the general solution to this generalized equation is obtained for a particularly tractable class of weighting operators.
Palabras clave:
Functional Equations
,
Aumann Functional Equation
,
Weightings
,
Means
Archivos asociados
Licencia
Identificadores
Colecciones
Articulos(CCT - ROSARIO)
Articulos de CTRO.CIENTIFICO TECNOL.CONICET - ROSARIO
Articulos de CTRO.CIENTIFICO TECNOL.CONICET - ROSARIO
Citación
Berrone, Lucio Renato; The Aumann functional equation for general weighting procedures; Springer; Aequationes Mathematicae; 89; 4; 8-2015; 1051–1073
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