On the stability of a generalization of Jensen functional equation
type: Item
instance of: scholarly article
title: On the stability of a generalization of Jensen functional equation
zbMATH Open document ID: 1399.39061
author: Peng Zhang
published in: Acta Mathematica Hungarica
publication date: 2018-03-14T00:00:00Z
review text: The author uses the fixed point method to prove the stability and the hyperstability of a generalization of Jensen functional equation \[ \sum_{k=0}^{n-1}f(x+b_ky)=nf(x) \] in the setting of Banach spaces. Here \(n \geq 2\), \(b_k=\exp(2i\pi k/n)\) for \(0\leq k \leq n-1\).
Mathematics Subject Classification ID: 39B82
Mathematics Subject Classification ID: 39B52
Mathematics Subject Classification ID: 47H10
zbMATH DE Number: 6850209
zbMATH Keywords: stability
zbMATH Keywords: hyperstability
zbMATH Keywords: Jensen functional equation
zbMATH Keywords: fixed point method
zbMATH Keywords: Banach space
reviewed by: Mohammad Sal Moslehian
MaRDI profile type: Publication
full work available at URL: s10474-017-0781-8
OpenAlex ID: W2772327124
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DOI: 10.1007/S10474-017-0781-8
description: scientific article; zbMATH DE number 6850209