Stability of the \(n\)-dimensional mixed-type additive and quadratic functional equation in non-Archimedean normed spaces
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.
scientific article; zbMATH DE number 6034212
scientific article