Orthogonal stability of mixed type additive and cubic functional equations

نویسندگان
Ostadbashi, S. ID 1
Kazemzadeh, J. ID 2

1 Department of Mathematics, Faculty of Sciences, Urmia University, Urmia, Iran.

2 Department of Mathematics, Faculty of Sciences, Urmia University, Urmia, Iran.

doi
10.22075/ijnaa.2015.176
چکیده

In this paper, we consider orthogonal stability of mixed type additive and cubic functional equation of the form $$f(2x+y)+f(2x-y)-f(4x)=2f (x+y)+2f(x-y)-8f(2x) +10f(x)-2f(-x),$$ with $x\bot y$, where $\bot$  is orthogonality in the sense of Ratz.

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