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Applications of Banach Limit in Ulam Stability

descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 10 May 2021 Poland English Publisher:MDPI AGJournal:Symmetry, volume 13, page 841 (eissn: 2073-8994, Copyright policy )
Authors: Roman Badora; Janusz Brzdek; Krzysztof Cieplinski;

doi: 10.3390/sym13050841

handle: 20.500.12128/20441

Applications of Banach Limit in Ulam Stability

Abstract

We show how to get new results on Ulam stability of some functional equations using the Banach limit. We do this with the examples of the linear functional equation in single variable and the Cauchy equation.

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Poland
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Keywords

Banach limit, Ulam stability, functional equation

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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!
20
Top 10%
Top 10%
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