Stability of quadratic functional equation in modular spaces
Functional Analysis
2025-05-14 v1
Abstract
In this paper, we study the Hyers-Ulam stability of the following equation \begin{multline*} \phi(x+y-z)+\phi(x+z-y)+\phi(y+z-x)=\phi (x-y)+\phi(x-z)+\phi(z-y) +\phi(x)+\phi(y) +\phi(z) \end{multline*} in modular space, with or without -condition, and in -homogeneous Banach space.
Cite
@article{arxiv.2505.07822,
title = {Stability of quadratic functional equation in modular spaces},
author = {Abderrahman Baza and Mohamed Rossafi and Arul Joseph Gnanaprakasam},
journal= {arXiv preprint arXiv:2505.07822},
year = {2025}
}