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Iterated joining means - MaRDI portal

Iterated joining means (Q1731431)

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scientific article; zbMATH DE number 7035775
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Iterated joining means
scientific article; zbMATH DE number 7035775

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    Iterated joining means (English)
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    13 March 2019
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    A simple dynamical system generated by means $M$ and $N$ on adjacent intervals is used to extend the means of $M$ and $N$, respectively. Among the joints obtained are those semiconjugating some functions defined by the use of the so-called marginal functions of $M$ and $N$. The obtained results improve on the recent procedure of joining presented by the author and \textit{W. Jarczyk} [Publ. Math. 91, No. 1--2, 235--246 (2017; Zbl 1399.26084)].
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    mean
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    extension of means
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    iteration
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    attractor
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    joiner
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    marginal joint of means
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    functional equation of semiconjugacy
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