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Bull. Korean Math. Soc. 2001; 38(2): 325-336
Printed June 1, 2001
Copyright © The Korean Mathematical Society.
On the generalized Hyers-Ulam-Rassias stability of a quadratic functional equation
Jae-Hyeong Bae and Kil-Woung Jun
Chungnam National University, Chungnam National University
In this paper, we investigate the generalized Hyers-Ulam-Rassias stability of a quadratic functional equation $f(x+y+z)+f(x-y)+f(y-z)+f(z-x)=3f(x)+3f(y)+3f(z)$ and prove the Hyers-Ulam-Rassias stability of the equation on bounded domain.
Keywords: Hyers-Ulam-Rassias stability, quadratic functional equation
MSC numbers: 39B52, 39B72
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