On the Hyers]Ulam]Rassias Stability of a Quadratic Functional Equation

In this paper, we investigate the Hyers]Ulam]Rassias stability problems of a new quadratic functional equation f xyyyz.qf x.qf y.qf z.sf xyy.qf yqz.qf zyx.. Furthermore, the stability results will be applied to the study of an interesting asymptotic property of the quadratic functions.