科研之友
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摘要
We achieve the general solution of the quintic functional equation f(x+3y) - 5f(x + 2y) + 10f(x + y) - 10f(x) + 5f(x-y) - f(x - 2y) = 120f(y) and the sextic functional equation f(x+3y) - 6f(x + 2y) + 15f(x+y) - 20f(x) + 15f(x-y) - 6f(x - 2y) + f(x - 3y) = 720f(y). Moreover, we prove the stability of the quintic and sextic functional equations in quasi-beta-normed spaces via fixed point method.
