Stability of quadratic functional equation in modular spaces
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 $\Delta_2$-condition, and in $\beta$-homogeneous Banach space.
Publication Details
- Journal
- ArXiv.org
- Published
- 2025-04-12
- Primary Topic
- Functional Equations Stability Results
- Type
- article
- Field-Weighted Citation Impact
- 0.00