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Aequationes mathematicae

, Volume 93, Issue 1, pp 109–120 | Cite as

Iterated joining means

  • Justyna JarczykEmail author
Open Access
Article
  • 131 Downloads

Abstract

Using a simple dynamical system generated by means M and N which are considered on adjacent intervals, we show how to find their joints, that is means extending both M and N. The procedure of joining is a local version of that presented in Jarczyk (Publ. Math. Debr. 91:235–246, 2017). Among joints are those semiconjugating some functions defined by the use of the so-called marginal functions of M and N.

Keywords

Mean Extension of means Iteration Attractor Joiner Marginal joint of means Functional equation of semiconjugacy 

Mathematics Subject Classification

Primary 26E60 26A18 Secondary 39B22 

References

  1. 1.
    Daróczy, Z., Jarczyk, J., Jarczyk, W.: From a theorem of R. Ger and T. Kochanek to marginal joints of means. Aequ. Math. 90, 211–233 (2016)MathSciNetCrossRefzbMATHGoogle Scholar
  2. 2.
    Jarczyk, J., Jarczyk, W.: Joining means. Publ. Math. Debr. 91, 235–246 (2017)MathSciNetCrossRefzbMATHGoogle Scholar
  3. 3.
    Kuczma, M., Choczewski, B., Ger, R.: Iterative Functional Equations. Encyclopedia of Mathematics and Its Applications, vol. 32. Cambridge University Press, Cambridge (1990)CrossRefzbMATHGoogle Scholar

Copyright information

© The Author(s) 2018

Open AccessThis article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.

Authors and Affiliations

  1. 1.Faculty of Mathematics, Computer Science and EconometricsUniversity of Zielona GóraZielona GoraPoland

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