On the stability of radical functional equation in modular space
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2024
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| _version_ | 1866911995489419264 |
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| author | Baza, Abderrahman Rossafi, Mohamed |
| author_facet | Baza, Abderrahman Rossafi, Mohamed |
| contents | In this work, we prove the generalised Hyer Ulam stability of the following functional equation \begin{equation}\label{Eq-1} ϕ(x)+ϕ(y)+ϕ(z)=q ϕ\left(\sqrt[s]{\frac{x^s+y^s+z^s}{q}}\right),\qquad |q| \leq 1 \end{equation} and $s$ is an odd integer such that $s\geq 3$, in modular space, using the direct method, and the fixed point theorem. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_10225 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On the stability of radical functional equation in modular space Baza, Abderrahman Rossafi, Mohamed Functional Analysis Primary 39B82, Secondary 39B52 In this work, we prove the generalised Hyer Ulam stability of the following functional equation \begin{equation}\label{Eq-1} ϕ(x)+ϕ(y)+ϕ(z)=q ϕ\left(\sqrt[s]{\frac{x^s+y^s+z^s}{q}}\right),\qquad |q| \leq 1 \end{equation} and $s$ is an odd integer such that $s\geq 3$, in modular space, using the direct method, and the fixed point theorem. |
| title | On the stability of radical functional equation in modular space |
| topic | Functional Analysis Primary 39B82, Secondary 39B52 |
| url | https://arxiv.org/abs/2408.10225 |