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

Youssef Aribou; Hajira Dimou; Abdellatif Chahbi; Samir Kabbaj

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ArticleOriginal scientific text

Title

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

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Affiliations

Department of Mathematics Faculty of Sciences University of Ibn Tofail Kenitra Morocco

Abstract

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.