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arXiv 2008-12-15 0 views

Solution and stability of generalized mixed type cubic, quadratic and additive functional equation in quasi-Banach spaces

Gordji, M. Eshaghi · Khodaei, H.

Original · EN

In this paper, we achieve the general solution and the generalized Hyers-Ulam-Rassias stability of the following functional equation f(x+ky)+f(x-ky)=k²f(x+y)+k²f(x-y)+2(1-k²)f(x) 2 cmfor fixed integers k with k≠0,±1 in the quasi-Banach spaces.

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