A Characterization of Barycentrically Preassociative Functions

Teheux, Bruno

doi:10.1007/s00025-015-0501-z

Results. Math.

2015

DOI: 10.1007/s00025-015-0501-z

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A Characterization of Barycentrically Preassociative Functions

Bruno Teheux

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2016

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Strongly barycentrically associative and preassociative functions

Teheux

2016

Journal of Mathematical Analysis and Applications

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Abstract. We study the property of strong barycentric associativity, a stronger version of barycentric associativity for functions with indefinite arities. We introduce and discuss the more general property of strong barycentric preassociativity, a generalization of strong barycentric associativity which does not involve any composition of functions. We also provide a generalization of Kolmogoroff-Nagumo's characterization of the quasi-arithmetic mean functions to strongly barycentrically preassociative functions.

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Strongly barycentrically associative and preassociative functions

Teheux

2016

Journal of Mathematical Analysis and Applications

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A Characterization of Barycentrically Preassociative Functions

Cited by 1 publication

References 7 publications

Strongly barycentrically associative and preassociative functions

Strongly barycentrically associative and preassociative functions

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