A functional equation having monomials as solutions

作者：Bae Jae Hyeong; Park Won Gil^*

来源：Applied Mathematics and Computation, 2010, 216(1): 87-94.

DOI：10.1016/j.amc.2010.01.006

• Solution
• Stability
• Functional equation
• Monomial
• Fixed point

For each n = 1, 2, 3, we obtain the general solution and the stability of the functional equation f (2x+y) + f(2x-y) = 2(n-2)[f(x-y) + f(x-y) + 6f(x)].
And we obtain the general solution and the stability of the functional equation
f(2x + y) + f(2x - y) = 2(n-2)[f(x+y) + f(x-y) + 6f(x)].
Using the fixed point method, we prove the generalized Hyers-Ulam stability of these functional equations.

• 出版日期2010-3-1