Embeddability of pairs of weighted quasi-arithmetic means into a semiflow
type: Item
instance of: scholarly article
title: Embeddability of pairs of weighted quasi-arithmetic means into a semiflow
zbMATH Open document ID: 1448.26006
author: D. Głazowska
author: Justyna Jarczyk
author: Witold Jarczyk
published in: Aequationes Mathematicae
publication date: 2020-08-07T00:00:00Z
review text: 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.
reviewed by: James A. Oguntuase
Mathematics Subject Classification ID: 26A18
Mathematics Subject Classification ID: 26E60
Mathematics Subject Classification ID: 39B12
zbMATH DE Number: 7229522
zbMATH Keywords: semiflow
zbMATH Keywords: continuous iteration semigroup
zbMATH Keywords: embeddability
zbMATH Keywords: iterability
zbMATH Keywords: iterative root
zbMATH Keywords: weighted quasi-arithmetic mean
MaRDI profile type: Publication
full work available at URL: s00010-019-00674-5
OpenAlex ID: W2972788246
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Wikidata QID: Q127285082
DOI: 10.1007/S00010-019-00674-5
description: scientific article; zbMATH DE number 7229522