Saved in:
| Main Authors: | , |
|---|---|
| Format: | Preprint |
| Published: |
2024
|
| Subjects: | |
| Online Access: | https://arxiv.org/abs/2407.20568 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866914891976146944 |
|---|---|
| author | Sankar, Koushika Dhevi Sampath, Sangeetha |
| author_facet | Sankar, Koushika Dhevi Sampath, Sangeetha |
| contents | In this paper, we discuss the Hyers-Ulam stability of mixed-type additive-cubic Jensen functional equation \begin{align*} 2\mathcal{F}\left(\frac{2u+v}{2}\right)+2\mathcal{F}\left(\frac{2u-v}{2}\right)=\frac{1}{4}[\mathcal{F}(u+v)+\mathcal{F}(u-v)]+3\mathcal{F}(u) \end{align*} in non-Archimedean $(n, β)$ normed spaces. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_20568 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Stability of Mixed Type Additive-Cubic Jensen Functional Equation in Non-Archimedean $(n, β)$ Normed Spaces Sankar, Koushika Dhevi Sampath, Sangeetha Functional Analysis 39B82, 39B72, 12J25 In this paper, we discuss the Hyers-Ulam stability of mixed-type additive-cubic Jensen functional equation \begin{align*} 2\mathcal{F}\left(\frac{2u+v}{2}\right)+2\mathcal{F}\left(\frac{2u-v}{2}\right)=\frac{1}{4}[\mathcal{F}(u+v)+\mathcal{F}(u-v)]+3\mathcal{F}(u) \end{align*} in non-Archimedean $(n, β)$ normed spaces. |
| title | Stability of Mixed Type Additive-Cubic Jensen Functional Equation in Non-Archimedean $(n, β)$ Normed Spaces |
| topic | Functional Analysis 39B82, 39B72, 12J25 |
| url | https://arxiv.org/abs/2407.20568 |