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Colloquium Mathematicum
Article
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arXiv.org e-Print Archive
Preprint . 2014
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Colloquium Mathematicum
Article . 2016 . Peer-reviewed
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https://dx.doi.org/10.48550/ar...
Article . 2014
License: arXiv Non-Exclusive Distribution
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https://dx.doi.org/10.4064/cm6...
Article
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https://dx.doi.org/10.4064/cm6...
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Iterated quasi-arithmetic mean-type mappings

descriptionPublicationkeyboard_double_arrow_right Article , Preprint , Other literature type 01 Jan 2016Embargo end date: 01 Jan 2014 English Publisher:Institute of Mathematics, Polish Academy of SciencesJournal:Colloquium Mathematicum (issn: 0010-1354, eissn: 1730-6302, Copyright policy )
Authors: Pasteczka, Paweł;

doi: 10.4064/cm6479-2-2016 , 10.48550/arxiv.1412.2997

arXiv: 1412.2997

Iterated quasi-arithmetic mean-type mappings

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.

13 pages

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Keywords

Mathematics - Classical Analysis and ODEs, Classical Analysis and ODEs (math.CA), FOS: Mathematics, 26E60, 26A18, 39B12

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
1
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