Hyperstability of the Jensen functional equation

We present some observations on hyperstability for the Jensen equation on restricted domain. Namely, we show, under some weak natural assumptions, that functions satisfying the equation approximately (in some sense) must be actually solutions to it.

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Published in:Acta mathematica Hungarica 2014-04, Vol.142 (2), p.353-365
Main Authors: Bahyrycz, Anna, Piszczek, Magdalena
Format: Article
Language:English
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Mathematics
Mathematics and Statistics
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description We present some observations on hyperstability for the Jensen equation on restricted domain. Namely, we show, under some weak natural assumptions, that functions satisfying the equation approximately (in some sense) must be actually solutions to it.
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subjects Mathematics
Mathematics and Statistics
title Hyperstability of the Jensen functional equation
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