Hyers-Ulam-Rassias Stability of the $K$-Quadratic Functional Equation

摘要

In this paper we obtain the Hyers-Ulam-Rassias stability for the functional equation where is a finite cyclic transformation group of the abelian group , acting by automorphisms of . As a consequence we can derive the Hyers-Ulam-Rassias stability of the quadratic and the additive functional equations.