On the stability of quadratic functional equations in \(F\)-spaces
type: Item
instance of: scholarly article
title: On the stability of quadratic functional equations in \(F\)-spaces
zbMATH Open document ID: 1347.39029
DOI: 10.1155/2016/5636101
author: Xiuzhong Yang
published in: Journal of Function Spaces
publication date: 2016-08-11T00:00:00Z
review text: Summary: The Hyers-Ulam-Rassias stability of quadratic functional equation \(f(2 x + y) + f(2 x - y) = f(x + y) + f(x - y) + 6 f(x)\) and orthogonal stability of the Pexiderized quadratic functional equation \(f(x + y) + f(x - y) = 2 g(x) + 2 h(y)\) in \(F\)-spaces are proved.
Mathematics Subject Classification ID: 39B82
Mathematics Subject Classification ID: 39B52
zbMATH DE Number: 6614009
zbMATH Keywords: Hyers-Ulam-Rassias stability
zbMATH Keywords: quadratic functional equation
zbMATH Keywords: orthogonal stability
zbMATH Keywords: pexiderized quadratic functional equation
zbMATH Keywords: \(F\)-spaces
Wikidata QID: Q59127047
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2016/5636101
OpenAlex ID: W2497634467
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description: scientific article; zbMATH DE number 6614009