Embeddability of pairs of weighted quasi-arithmetic means into a semiflow (Q785645)
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scientific article; zbMATH DE number 7229522
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Embeddability of pairs of weighted quasi-arithmetic means into a semiflow |
scientific article; zbMATH DE number 7229522 |
Statements
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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