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On a problem of Matkowski

Zoltán Daróczy, Gyula Maksa (1999)

Colloquium Mathematicae

We solve Matkowski's problem for strictly comparable quasi-arithmetic means.

On - associated comonotone functions

Ondrej Hutník, Jozef Pócs (2018)

Kybernetika

We give a positive answer to two open problems stated by Boczek and Kaluszka in their paper [1]. The first one deals with an algebraic characterization of comonotonicity. We show that the class of binary operations solving this problem contains any strictly monotone right-continuous operation. More precisely, the comonotonicity of functions is equivalent not only to + -associatedness of functions (as proved by Boczek and Kaluszka), but also to their -associatedness with being an arbitrary strictly...

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