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.
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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)
Jarczyk, J., Jarczyk, W.: Joining means. Publ. Math. Debr. 91, 235–246 (2017)
Kuczma, M., Choczewski, B., Ger, R.: Iterative Functional Equations. Encyclopedia of Mathematics and Its Applications, vol. 32. Cambridge University Press, Cambridge (1990)
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Dedicated to Professor Karol Baron on the occasion of his 70th birthday.
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Jarczyk, J. Iterated joining means. Aequat. Math. 93, 109–120 (2019). https://doi.org/10.1007/s00010-018-0596-x
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DOI: https://doi.org/10.1007/s00010-018-0596-x