Stability of a quartic functional equation in restricted domains
type: Item
instance of: scholarly article
title: Stability of a quartic functional equation in restricted domains
zbMATH Open document ID: 1347.39026
DOI: 10.1155/2016/1804206
author: Yu-Min Ju
author: Jaeyoung Chung
published in: Journal of Function Spaces
publication date: 2016-08-11T00:00:00Z
review text: Summary: Let \(X\) be a real normed space and \(Y\) a Banach space and \(f : X \to Y\). We prove the Ulam-Hyers stability theorem for the quartic functional equation \(f(2 x + y) + f(2 x - y) - 4 f(x + y) - 4 f(x - y) - 24 f(x) + 6 f(y) = 0\) in restricted domains. As a consequence we consider a measure zero stability problem of the above inequality when \(f : \mathbb{R} \to Y\).
Mathematics Subject Classification ID: 39B82
Mathematics Subject Classification ID: 39B52
Mathematics Subject Classification ID: 39B55
zbMATH DE Number: 6614005
zbMATH Keywords: Banach space
zbMATH Keywords: Ulam-Hyers stability
zbMATH Keywords: quartic functional equation
zbMATH Keywords: restricted domains
zbMATH Keywords: measure zero stability
Wikidata QID: Q59126886
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2016/1804206
OpenAlex ID: W2504878267
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description: scientific article; zbMATH DE number 6614005