Approximate mixed type quadratic-cubic functional equation
In this paper, we investigate the generalized Hyers-Ulam stability of the following mixed type quadratic-cubic functional equation \begin{align*} 2f(2x+y)+2f(2x-y) = 4f(x+y)+4f(x-y)+4f(2x)+f(2y)-8f(x)-8f(y) \end{align*} in non-Archimedean $(n,\beta)$-normed spaces.
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| Format: | Article |
| Language: | English |
| Published: |
AIMS Press
2021-02-01
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| Series: | AIMS Mathematics |
| Subjects: | |
| Online Access: | http://www.aimspress.com/article/doi/10.3934/math.2021211?viewType=HTML |
| Summary: | In this paper, we investigate the
generalized Hyers-Ulam stability of the following mixed type
quadratic-cubic functional equation
\begin{align*}
2f(2x+y)+2f(2x-y)
= 4f(x+y)+4f(x-y)+4f(2x)+f(2y)-8f(x)-8f(y)
\end{align*}
in non-Archimedean $(n,\beta)$-normed spaces. |
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| ISSN: | 2473-6988 |