Orthogonal stability of mixed type additive and cubic functional equations

In this paper, we consider orthogonal stability of mixed type additive and cubic functional equation of the form f(۲x+y)+f(۲x-y)-f(۴x)=۲f (x+y)+۲f(x-y)-۸f(۲x) +۱۰f(x)-۲f(-x), with x\bot y, where \bot  is orthogonality in the sense of Ratz.

کلیدواژه ها:

Hyers- Ulam- Aoki- Rassias stability ، mixed type additive and cubic functional equation ، orthogonality space