Stability of a functional equation deriving from quadratic and additive functions in non-Archimedean normed spaces
type: Item
instance of: scholarly article
title: Stability of a functional equation deriving from quadratic and additive functions in non-Archimedean normed spaces
zbMATH Open document ID: 1291.39039
DOI: 10.1155/2013/198018
author: Abasalt Bodaghi
author: Sang OG Kim
published in: Abstract and Applied Analysis
publication date: 2014-06-23T00:00:00Z
review text: Summary: We obtain the general solution of the generalized mixed additive and quadratic functional equation \(f(x+my)+f(x-my)=2f(x)-2m^2f(y)+m^2f(2y)\), \(m\) is even; \(f(x+y)+f(x-y)-2(m^2-1)f(y)+(m^2-1)f(2y)\), \(m\) is odd, for a positive integer \(m\). We establish the Hyers-Ulam stability for these functional equations in non-Archimedean normed spaces when \(m\) is an even positive integer or \(m=3\).
Mathematics Subject Classification ID: 39A30
Mathematics Subject Classification ID: 46S10
Mathematics Subject Classification ID: 39A10
zbMATH DE Number: 6306518
Wikidata QID: Q58915518
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2013/198018
OpenAlex ID: W2005585208
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description: scientific article; zbMATH DE number 6306518