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arXiv · 2005.02063

Quasiarithmetic-type invariant means on probability space

Beata Deręgowska·Paweł Pasteczka
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Abstract

For a family $(\mathscr{A}_x)_{x \in (0,1)}$ of integral quasiarithmetic means sattisfying certain measurability-type assumptions we search for an integral mean $K$ such that $K\big((\mathscr{A}_x(\mathbb{P}))_{x \in (0,1)}\big)=K(\mathbb{P})$ for every compactly supported probabilistic Borel measure $\mathbb{P}$. Also some results concerning the uniqueness of invariant means will be given.

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BibTeXRIS

Beata Deręgowska, Paweł Pasteczka. 2020-05-05. Quasiarithmetic-type invariant means on probability space. https://doi.org/10.1007/s00010-020-00765-8

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