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 fixedintegers $k$ with $k\neq0,\pm1$ in the quasi-Banach spaces.
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机译:在本文中,我们实现了以下函数方程的通用解和广义Hyers-Ulam-Rassias稳定性$$ f(x + ky)+ f(x-ky)= k ^ 2f(x + y)+ k ^ 2f(xy)+2(1-k ^ 2)f(x)\ eqno {2 cm} $$用于在准Banach空间中具有$ k \ neq0,\ pm1 $的固定整数$ k $。
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