Iterated joining means
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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.
KeywordsMean Extension of means Iteration Attractor Joiner Marginal joint of means Functional equation of semiconjugacy
Mathematics Subject ClassificationPrimary 26E60 26A18 Secondary 39B22
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