Alienation of the Quadratic And Additive Functional Equations
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DOI: 10.1007/s10476-019-0869-1
Abstract: Let G, H be uniquely 2-divisible Abelian groups. We study the solutions f, g: G → H of Pexider type functional equation (*)$$f(x+y)+f(x-y)+g(x+y)=2f(x)+2f(y)+g(x)+g(y),$$f(x+y)+f(x−y)+g(x+y)=2f(x)+2f(y)+g(x)+g(y), resulting from summing up the well known quadratic functional equation and additive… read more here.
Keywords: quadratic additive; alienation quadratic; additive functional; equation ... See more keywords