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

Aribou, Youssef; Dimou, Hajira; Chahbi, Abdellatif; Kabbaj, Samir

doi:10.1515/aupcsm-2015-0011

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.

References

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

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