Abstract
In this paper, we establish 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 $x\bot y,$ where $\bot $ is the orthogonality in the sense of Rätz in modular spaces.
Citation
Iz-iddine El-Fassi. Samir Kabbaj. "On the generalized orthogonal stability of mixed type additive-cubic functional equations in modular spaces." Tbilisi Math. J. 9 (1) 231 - 243, June 2016. https://doi.org/10.1515/tmj-2016-0011
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