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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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  1. Department of Mathematics, Pedagogical University, Podchora̧żych 2, 30-084, Kraków, Poland

    Anna Bahyrycz & Magdalena Piszczek

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  1. Anna Bahyrycz
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  2. Magdalena Piszczek
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Correspondence to Anna Bahyrycz.

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Bahyrycz, A., Piszczek, M. Hyperstability of the Jensen functional equation. Acta Math Hung 142, 353–365 (2014). https://doi.org/10.1007/s10474-013-0347-3

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  • DOI: https://doi.org/10.1007/s10474-013-0347-3

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