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On the superstability of the cosine and sine type functional equations
(2016)
In this paper, we study the superstablity problem of the cosine and sine type functional equations:
f(xσ(y)a) + f(xya) = 2f(x)f(y)
and
f(xσ(y)a) − f(xya) = 2f(x)f(y),
where f : S → C is a complex valued function; S is ...