On the stability of homogeneous functional equations with degree t and n-variables
On the stability of homogeneous functional equations with degree t and n-variables
In this paper, we obtain a generalization of Hyers-Ulam-Rassias stability for the family of the functional equation f (, where H is a homogeneous function of degree t and • is an n -times-symmetric operation on the set S .As a consequence we can obtain the Hyers-Ulam stability.