Hyperstability of the Jensen functional equation

descriptionPublicationkeyboard_double_arrow_right Article 18 Sep 2013 English Publisher:Springer Science and Business Media LLCJournal:Acta Mathematica Hungarica, volume 142, pages 353-365 (issn: 0236-5294, eissn: 1588-2632,

Authors: Anna Bahyrycz; Magdalena Piszczek;

doi: 10.1007/s10474-013-0347-3

Hyperstability of the Jensen functional equation

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Abstract

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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