Stability of the \(n\)-dimensional mixed-type additive and quadratic functional equation in non-Archimedean normed spaces (Q417139)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Stability of the \(n\)-dimensional mixed-type additive and quadratic functional equation in non-Archimedean normed spaces |
scientific article; zbMATH DE number 6034212
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Stability of the \(n\)-dimensional mixed-type additive and quadratic functional equation in non-Archimedean normed spaces |
scientific article; zbMATH DE number 6034212 |
Statements
Stability of the \(n\)-dimensional mixed-type additive and quadratic functional equation in non-Archimedean normed spaces (English)
0 references
14 May 2012
0 references
Summary: We will prove the stability of the functional equation \(2f(\sum^n_{i=1} x_i) + \sum_{1 \leq i, j \leq n, i \neq j} f(x_i - x_j) = (n + 1) \sum^n_{i=1} f(x_i) + (n - 1) \sum^n_{i=1} f(-x_i)\) in non-Archimedean normed spaces.
0 references
0 references
0 references
0 references
