Mean-type mappings and invariance principle

DOI10.7153/mia-2021-24-15zbMath1466.26024arXiv2005.10623OpenAlexW3134167189MaRDI QIDQ4991567

Paweł Pasteczka, Janusz Matkowski

Publication date: 3 June 2021

Published in: Mathematical Inequalities & Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2005.10623

zbMATH Keywords

iterationfunctional equationinvariant meanorbitmeansmean-type mapping

Mathematics Subject Classification ID

Functional equations for real functions (39B22) Iteration theory, iterative and composite equations (39B12) Means (26E60)

Related Items (4)

There is at most one continuous invariant mean ⋮ Invariance property for extended means ⋮ Explicit forms of invariant means: complementary results to Gauss \(\left( {\mathcal{A}},{\mathcal{G}}\right) \)-theorem and some applications ⋮ Quasi-arithmetic-type invariant means on probability space

Cites Work

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• Means in mathematical analysis. Bivariate means
• Invariant means and iterates of mean-type mappings
• Invariant property for discontinuous mean-type mappings

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