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Korean Mathematical Society BKMS

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Bull. Korean Math. Soc. 2001; 38(2): 261-272

Printed June 1, 2001

Copyright © The Korean Mathematical Society.

On the Hyers-Ulam-Rassias stability of a generalized quadratic equation

Kil-Woung Jun and Yang-Hi Lee

Chungnam National University, Kongju National University of Education

Abstract

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In this paper we prove the stability of the generalized quadratic equation $f(x+y)+g(x-y)-2f(x)-2g(y)=0$ in the spirit of Hyers, Ulam and Rassias.

Keywords: quadratic equation, stability of functional equation, quadratic function

MSC numbers: 39B72

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