### Orthogonal stability of mixed type additive and cubic functional equations

Document Type : Research Paper

Authors

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

Abstract

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.

Keywords