@article {
author = {Kaskasem, Prondanai and Janchada, Aekarach and Klin-eam, Chakkrid},
title = {On Approximate Solutions of the Generalized Radical Cubic Functional Equation in Quasi-$\beta$-Banach Spaces},
journal = {Sahand Communications in Mathematical Analysis},
volume = {17},
number = {1},
pages = {69-90},
year = {2020},
publisher = {University of Maragheh},
issn = {2322-5807},
eissn = {2423-3900},
doi = {10.22130/scma.2018.87694.451},
abstract = {In this paper, we prove the generalized Hyers-Ulam-Rassias stability of the generalized radical cubic functional equation\[ f\left( \sqrt[3]{ax^3 + by^3}\right)=af(x) + bf(y),\] where $a,b \in \mathbb{R}_+$ are fixed positive real numbers, by using direct method in quasi-$\beta$-Banach spaces. Moreover, we use subadditive functions to investigate stability of the generalized radical cubic functional equations in $(\beta,p)$-Banach spaces.},
keywords = {Hyers-Ulam-Rassias stability,radical cubic functional equation,quasi-$beta$-normed spaces,subadditive function},
url = {https://scma.maragheh.ac.ir/article_37191.html},
eprint = {https://scma.maragheh.ac.ir/article_37191_23668c1e86441667a12fea82395eabf1.pdf}
}