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

被引：0
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作者：
Dorota Głazowska
Justyna Jarczyk
Witold Jarczyk
机构：
[1] University of Zielona Góra,Faculty of Mathematics, Computer Science and Econometrics
[2] The John Paul II Catholic University of Lublin,Institute of Mathematics and Informatics
来源：
Aequationes mathematicae | 2020年 / 94卷
关键词：
Semiflow; Continuous iteration semigroup; Embeddability; Iterability; Iterative root; Weighted quasi-arithmetic mean; Primary 26A18; 26E60; 39B12;
D O I：
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学科分类号：
摘要：
We determine the form of all semiflows of pairs of weighted quasi-arithmetic means, those over positive dyadic numbers as well as the continuous ones. Then the iterability of such pairs is characterized: necessary and sufficient conditions for a given pair of weighted quasi-arithmetic means to be embeddable into a continuous semiflow are given. In particular, it turns out that surprisingly the existence of a square iterative root in the class of such pairs implies the embeddability.
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页码：679 / 687
页数：8
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