Hyperstability of some functional equations in modular spaces
Fuente:
arXiv
Guardado en:
| Autores principales: | , , |
|---|---|
| Formato: | Preprint |
| Publicado: |
2024
|
| Materias: | |
| Acceso en línea: | |
| Etiquetas: |
Agregar Etiqueta
Sin Etiquetas, Sea el primero en etiquetar este registro!
|
| _version_ | 1866916434761744384 |
|---|---|
| author | Baza, Abderrahman Rossafi, Mohamed Mouniane, Mohammed |
| author_facet | Baza, Abderrahman Rossafi, Mohamed Mouniane, Mohammed |
| contents | In this paper, we investigate some hyperstability results, inspired by the concept of Ulam stability, for the following functional equations: \begin{equation} φ(x+y)+φ(x-y)=2φ(x)+2φ(y) \end{equation} \begin{equation} φ(ax+by) = Aφ(x)+Bφ(y)+C \end{equation} \begin{equation}\label{eqnd} f\left(\sum_{i=1}^{m}x_{i}\right)+\sum_{1\leq i<j\leq m}f\big(x_{i}-x_{j}\big)=m\sum_{i=1}^{m}f(x_{i}) \end{equation} in modular spaces. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_09082 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Hyperstability of some functional equations in modular spaces Baza, Abderrahman Rossafi, Mohamed Mouniane, Mohammed Functional Analysis 39B22, 39B52, 39B82 In this paper, we investigate some hyperstability results, inspired by the concept of Ulam stability, for the following functional equations: \begin{equation} φ(x+y)+φ(x-y)=2φ(x)+2φ(y) \end{equation} \begin{equation} φ(ax+by) = Aφ(x)+Bφ(y)+C \end{equation} \begin{equation}\label{eqnd} f\left(\sum_{i=1}^{m}x_{i}\right)+\sum_{1\leq i<j\leq m}f\big(x_{i}-x_{j}\big)=m\sum_{i=1}^{m}f(x_{i}) \end{equation} in modular spaces. |
| title | Hyperstability of some functional equations in modular spaces |
| topic | Functional Analysis 39B22, 39B52, 39B82 |
| url | https://arxiv.org/abs/2410.09082 |