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A functional equation having monomials as solutions
Authors:Jae-Hyeong Bae
Institution:a College of Liberal Arts, Kyung Hee University, Yongin 449-701, Republic of Korea
b National Institute for Mathematical Sciences, 385-16 Doryong-Dong, Yuseong-Gu, 305-340 Daejeon, Republic of Korea
Abstract:For each n=1,2,3, we obtain the general solution and the stability of the functional equation
f(2x+y)+f(2x-y)=2n-2f(x+y)+f(x-y)+6f(x)].
Keywords:Solution  Stability  Functional equation  Monomial  Fixed point
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