On the generalized orthogonal stability of mixed type additive-cubic functional equations in modular spaces

Iz. El-Fassi, S. Kabba

In this paper, we e stablish the Hyers-Ulam-Rassias stability of the mixed type additive-cubic functional equation
f(2x+y)+f(2x-y)-f(4x)=2[f(x+y)+f(x-y)]-8f(2x)+10f(x)-2f(-x),
with x ⊥ y, where ⊥ is the orthogonality in the sense of Rätz in modular spaces. 

Tbilisi Mathematical Journal, Vol. 9(1) (2016), pp. 231-243