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arXiv · 1412.2997

Iterated Quasi-Arithmetic Mean-Type Mappings

Paweł Pasteczka
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Abstract

For a family of quasi-arithmetic means satisfying certain smoothness condition we majorize the speed of convergence of the iterative sequence of self-mappings having a mean on each entry, described in the definition of Gaussian product, to relevant mean-type mapping. We apply this result to approximate any continuous function which is invariant with respect to such a self-mappings.

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BibTeXRIS

Paweł Pasteczka. 2014-12-09. Iterated Quasi-Arithmetic Mean-Type Mappings. https://doi.org/10.4064/cm6479-2-2016

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