Stability of the \(n\)-dimensional mixed-type additive and quadratic functional equation in non-Archimedean normed spaces
type: Item
instance of: scholarly article
title: Stability of the \(n\)-dimensional mixed-type additive and quadratic functional equation in non-Archimedean normed spaces
zbMATH Open document ID: 1237.39035
DOI: 10.1155/2012/401762
author: Yang-Hi Lee
author: Themistocles M. Rassias
author: Soon-Mo Jung
published in: Abstract and Applied Analysis
publication date: 2012-05-14T00:00:00Z
review text: 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.
Mathematics Subject Classification ID: 39B82
zbMATH DE Number: 6034212
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2012/401762
OpenAlex ID: W2039007010
Wikidata QID: Q58696527
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description: scientific article; zbMATH DE number 6034212