A functional equation having monomials as solutions |
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Authors: | Jae-Hyeong Bae |
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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 |
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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)]. |
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Keywords: | Solution Stability Functional equation Monomial Fixed point |
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