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Embeddability of pairs of weighted quasi-arithmetic means into a semiflow - MaRDI portal

Embeddability of pairs of weighted quasi-arithmetic means into a semiflow (Q785645)

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scientific article; zbMATH DE number 7229522
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Embeddability of pairs of weighted quasi-arithmetic means into a semiflow
scientific article; zbMATH DE number 7229522

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    Embeddability of pairs of weighted quasi-arithmetic means into a semiflow (English)
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    7 August 2020
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    This paper studies the embeddability of all forms of pairs of weighted quasi-arithmetic means into a semiflow over positive dyadic numbers as well as the continuous ones. Also, the necessary and sufficient conditions for a given pair of weighted quasi-arithmetic means to be embeddable into a continuous semiflow were obtained, characterized and discussed. It was derived and proved that the existence of a square iterative root in the class of such pairs implies the embeddability.
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    semiflow
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    continuous iteration semigroup
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    embeddability
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    iterability
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    iterative root
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    weighted quasi-arithmetic mean
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