Email this article On the superstability of the cosine and sine type functional equations
Abstract
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 a semigroup; σ is an involution of S and a is a fixed element in the center of S.
Keywords
Mathematics Subject Classification (2010)
References
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