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Stability of generalized quadratic functional equation on a set of measure zero

Youssef Aribou;  Hajira Dimou;  Abdellatif Chahbi;  Samir Kabbaj — 2015

Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica

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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