Stability of additive-quadratic functional equation in modular space
Fuente:
arXiv
Gespeichert in:
| Hauptverfasser: | , , |
|---|---|
| Format: | Preprint |
| Veröffentlicht: |
2024
|
| Schlagworte: | |
| Online-Zugang: | |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| _version_ | 1866909229359562752 |
|---|---|
| author | Baza, Abderrahman Rossafi, Mohamed Park, Choonkil |
| author_facet | Baza, Abderrahman Rossafi, Mohamed Park, Choonkil |
| contents | Using the direct method, we prove the generalised Hyers-Ulam stability of the following functional equation \begin{equation} ϕ(x+y, z+w)+ϕ(x-y, z-w)-2 ϕ(x, z)-2 ϕ(x, w)=0 \end{equation} in modular space satisfying the Fatou property or $Δ_2$-condition. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_15436 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Stability of additive-quadratic functional equation in modular space Baza, Abderrahman Rossafi, Mohamed Park, Choonkil General Mathematics Primary 39B82, Secondary 39B52 Using the direct method, we prove the generalised Hyers-Ulam stability of the following functional equation \begin{equation} ϕ(x+y, z+w)+ϕ(x-y, z-w)-2 ϕ(x, z)-2 ϕ(x, w)=0 \end{equation} in modular space satisfying the Fatou property or $Δ_2$-condition. |
| title | Stability of additive-quadratic functional equation in modular space |
| topic | General Mathematics Primary 39B82, Secondary 39B52 |
| url | https://arxiv.org/abs/2406.15436 |