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

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

2008-12-15

arxiv.org/abs/0812.2931v1

Mathematics

Functional Analysis

Scientific paper

In this paper, we achieve the general solution and the generalized
Hyers-Ulam-Rassias stability of the following functional equation
$$f(x+ky)+f(x-ky)=k^2f(x+y)+k^2f(x-y)+2(1-k^2)f(x)\eqno {2 cm}$$for fixed
integers $k$ with $k\neq0,\pm1$ in the quasi-Banach spaces.

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