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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.

eISSN:
2300-133X
Langue:
Anglais
Périodicité:
Volume Open
Sujets de la revue:
Mathematics, General Mathematics