Stability of additive-quadratic functional equation in modular space
General Mathematics
2024-06-25 v1
Abstract
Using the direct method, we prove the generalised Hyers-Ulam stability of the following functional equation \begin{equation} \phi(x+y, z+w)+\phi(x-y, z-w)-2 \phi(x, z)-2 \phi(x, w)=0 \end{equation} in modular space satisfying the Fatou property or -condition.
Keywords
Cite
@article{arxiv.2406.15436,
title = {Stability of additive-quadratic functional equation in modular space},
author = {Abderrahman Baza and Mohamed Rossafi and Choonkil Park},
journal= {arXiv preprint arXiv:2406.15436},
year = {2024}
}