Bulletin of the
Korean Mathematical Society BKMS

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Bull. Korean Math. Soc. 2002; 39(2): 199-209

Printed June 1, 2002

Copyright © The Korean Mathematical Society.

The Hyers-Ulam stability of the quadratic functional equations on abelian groups

Jae-Hyeong Bae and Yong-Soo Jung

Chungnam National University, Chungnam National University

Abstract

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In this paper, we investigate the problem of stability of the quadratic functional equation $f(x+y+z)+f(x-y)+f(y-z)+f(x-z)=3f(x)+3f(y)+3f(z)$ on abelian group.

Keywords: stability, quadratic functional equation

MSC numbers: 39B52, 39B72

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