Journal of the Chungcheong Mathematical Society (충청수학회지)
- Volume 17 Issue 1
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- Pages.57-75
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- 2004
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- 1226-3524(pISSN)
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- 2383-6245(eISSN)
ON THE STABILITY OF A GENERAL QUADRATIC FUNCTIONAL EQUATION AND ITS APPLICATIONS
- Jun, Kil-Woung (Department of Mathematics Chungnam National University) ;
- Kim, Hark-Mahn (Department of Mathematics Chungnam National University)
- Received : 2004.03.25
- Published : 2004.04.30
Abstract
The aim of this paper is to solve the general solution of a quadratic functional equation f(x + 2y) + 2f(x - y) = f(x - 2y) + 2f(x + y) in the class of functions between real vector spaces and to obtain the generalized Hyers-Ulam stability problem for the equation.