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 On the generalized Hyers-Ulam-Rassias stability of a quadratic functional equation Bull. Korean Math. Soc. 2001 Vol. 38, No. 2, 325-336 Jae-Hyeong Bae and Kil-Woung Jun Chungnam National University, Chungnam National University Abstract : 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 Downloads: Full-text PDF