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

被引：0

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：

暂无

中图分类号：

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.

引用

页码：679 / 687

页数：8

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