Stability of generalized quadratic functional equation on a set of measure zero
Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica, no. 14 (2015).

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In this paper we prove the Hyers-Ulam stability of the following K-quadratic functional equation [...] where E is a real (or complex) vector space. This result was used to demonstrate the Hyers-Ulam stability on a set of Lebesgue measure zero for the same functional equation.
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     title = {Stability of generalized quadratic functional equation on a set of measure zero},
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Aribou, Youssef; Dimou, Hajira; Chahbi, Abdellatif; Kabbaj, Samir. Stability of generalized quadratic functional equation on a set of measure zero. Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica, no. 14 (2015). http://geodesic.mathdoc.fr/item/AUPCM_2015_14_a7/