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Bull. Korean Math. Soc. 1996; 33(4): 513-519

Printed December 1, 1996

Copyright © The Korean Mathematical Society.

On the Hyers-Ulam-Rassias stability of the equation $f(x^2-y^2+rxy)=f(x^2)-f(y^2)+rf(xy)$

Soon-Mo Jung

Hong-Ik University

Abstract

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The following functional equation $$ f(x^{2}-y^{2}+rxy) = f(x^{2}) - f(y^{2}) + rf(xy) $$ can be considered as a variation of the Hossz\'{u}'s functional equation. In this paper, the Hyers-Ulam-Rassias stability of the above functional equation shall be investigated.

Keywords: functional equations, Hosszus equation, Hyers-Ulam-Rassias stability

MSC numbers: 39B72

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