한국수학교육학회지시리즈B:순수및응용수학 (The Pure and Applied Mathematics)
- 제15권2호
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- Pages.103-110
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- 2008
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- 1226-0657(pISSN)
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- 2287-6081(eISSN)
A FUNCTIONAL EQUATION ON HOMOGENEOUS POLYNOMIALS
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Bae, Jae-Hyeong
(COLLEGE OF LIBERAL ARTS, KYUNG HEE UNIVERSITY) ;
- Park, Won-Gil (NATIONAL INSTITUTE FOR MATHEMATICAL SCIENCES)
- 발행 : 2008.05.31
초록
In this paper, we obtain the general solution and the stability of the cubic functional equation f(2x + y, 2z + w) + f(2x - y, 2z - w) = 2f(x + y, z + w) + 2f(x - y, z - w) + 12f(x, z). The cubic form