Hyers-Ulam Stability of Functional Equationf(3x) = 4f(3x − 3) + f(3x − 6)

The functional equation f(3x) = 4f(3x-3)+f(3x- 6) will be solved and its Hyers-Ulam stability will be also investigated in the class of functions f : R → X, where X is a real Banach space.

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