Orthogonal stability of mixed type additive and cubic functional equations

Author(s):

S. Ostadbashi , J. Kazemzadeh

Message:
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 $xbot y$, where $bot$ is orthogonality in the sense of Ratz.
Keywords:

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

Language:
English
Published:
International Journal Of Nonlinear Analysis And Applications, Volume:6 Issue: 3, Summer - Autumn 2015
Pages:
35 to 43
https://www.magiran.com/p1386133