Journal of the Chungcheong Mathematical Society (충청수학회지)
- Volume 19 Issue 2
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- Pages.189-196
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- 2006
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- 1226-3524(pISSN)
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- 2383-6245(eISSN)
ON THE GENERALIZED HYERS-ULAM STABILITY OF A CUBIC FUNCTIONAL EQUATION
- Jun, Kil-Woung (Department of Mathematics Chungnam National University) ;
- Lee, Sang-Baek (Department of Mathematics Chungnam National University)
- Received : 2006.03.29
- Published : 2006.06.30
Abstract
The generalized Hyers-Ulam stability problems of the cubic functional equation f(x + y + z) + f(x + y - z) + 2f(x - y) + 4f(y) = f(x - y + z) + f(x - y - z) +2f(x + y) + 2f(y + z) + 2f(y - z) shall be treated under the approximately odd condition and the behavior of the cubic mappings and the additive mappings shall be investigated. The generalized Hyers-Ulam stability problem for functional equations had been posed by Th.M. Rassias and J. Tabor [7] in 1992.