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The Modified Hyers-Ulam-Rassias Stability of a Mixed Type Functional Equation

Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics / Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, (P)1226-0657; (E)2287-6081
2007, v.14 no.1, pp.23-35
Park, Kyoo-Hong
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Abstract

We investigate the modified Hyers-Ulam-Rassias stability for the following mixed type functional equation, i.e, cubic or quadratic type functional equation : 9f(x+y)-9f(x-y)+f(6y)=3f(x+3y)-3f(x-3y)+9f(2y).

keywords
stability, additive function, cubic function, quadratic function

Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics