Hyperstability of the general linear equation on restricted domains
type: Item
instance of: scholarly article
title: Hyperstability of the general linear equation on restricted domains
zbMATH Open document ID: 1389.39050
published in: Acta Mathematica Hungarica
publication date: 2017-11-10T00:00:00Z
review text: The authors investigate the hyperstability of the generalized Cauchy functional equation \[ f(ax+by)= Af(x)+Bf(y)+C, \] \smallskip for functions \(f:X\to Y\) where \(X\) and \(Y\) are real or complex linear space, \(C\in Y\), \(a,b,A,B\) are complex numbers and \(ab\neq 0\). They prove, under some assumptions, that the function satisfying the generalized Cauchy equation approximately on a restricted domain, must be a solution.
reviewed by: Gyula Maksa
Mathematics Subject Classification ID: 39B82
Mathematics Subject Classification ID: 39B62
Mathematics Subject Classification ID: 47H14
Mathematics Subject Classification ID: 47H10
zbMATH DE Number: 6806068
zbMATH Keywords: hyperstability
zbMATH Keywords: generalized Cauchy functional equation
author: Daryoush Molaei
author: A. Najati
MaRDI profile type: Publication
full work available at URL: s10474-016-0609-y
OpenAlex ID: W2341026088
cites work: Q5514010
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cites work: Remarks on stability of some inhomogeneous functional equations
cites work: On the Stability of the Linear Functional Equation
cites work: Q3150833
cites work: Remark on hyperstability of the general linear equation
cites work: Q5511350
DOI: 10.1007/S10474-016-0609-Y
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description: scientific article; zbMATH DE number 6806068