Abstract
Our purpose is to investigate criteria for hyperstability of linear type functional equations. We prove that a function satisfying the equation approximately in some sense, must be a solution of it. We give some conditions on coefficients of the functional equation and a control function which guarantee hyperstability. Moreover, we show how our outcomes may be used to check whether the particular functional equation is hyperstable. Some relevant examples of applications are presented.
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Bahyrycz, A., Olko, J. Hyperstability of general linear functional equation. Aequat. Math. 90, 527–540 (2016). https://doi.org/10.1007/s00010-016-0418-y
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DOI: https://doi.org/10.1007/s00010-016-0418-y