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.
Ostadbashi, S. & Kazemzadeh, J. (2015). Orthogonal stability of mixed type additive and cubic functional equations. International Journal of Nonlinear Analysis and Applications, 6(1), 35–43. https://doi.org/10.22075/ijnaa.2015.176
MLA
Ostadbashi, S., & Kazemzadeh, J. "Orthogonal stability of mixed type additive and cubic functional equations", International Journal of Nonlinear Analysis and Applications, 6, 1, 2015, 35–43. doi: 10.22075/ijnaa.2015.176
HARVARD
Ostadbashi, S., & Kazemzadeh, J. (2015). 'Orthogonal stability of mixed type additive and cubic functional equations', International Journal of Nonlinear Analysis and Applications, 6(1), pp. 35–43. doi: 10.22075/ijnaa.2015.176
CHICAGO
Ostadbashi, S. & Kazemzadeh, J., "Orthogonal stability of mixed type additive and cubic functional equations." International Journal of Nonlinear Analysis and Applications, 6 1 (2015): 35–43, doi: 10.22075/ijnaa.2015.176
VANCOUVER
Ostadbashi S., Kazemzadeh J. Orthogonal stability of mixed type additive and cubic functional equations. IJNAA. 2015;6(1):35–43. doi: 10.22075/ijnaa.2015.176