On a Cauchy-Jensen functional inequality
type: Item
instance of: scholarly article
title: On a Cauchy-Jensen functional inequality
zbMATH Open document ID: 1193.39015
author: A. Najati
author: Jung Rye Lee
author: Choonkil Park
published in: Bulletin of the Malaysian Mathematical Sciences Society. Second Series
publication date: 2010-05-27T00:00:00Z
full work available at URL: https://eudml.org/doc/244401
full work available at URL: vol33 2 9.html
review text: Applying Hyers' iteration method, the authors present some Hyers-Ulam stability results in Banach modules over a \(C^{\ast}\)-algebra related to the functional inequality \[ \Bigl\|f(x)+f(y)+2f\Bigl(\frac{x+y}{2}+z\Bigr)\Bigr\|\leq2\|f(x+y+z)\|. \]
reviewed by: Mihály Bessenyei
Mathematics Subject Classification ID: 39B62
Mathematics Subject Classification ID: 39B82
Mathematics Subject Classification ID: 46L05
Mathematics Subject Classification ID: 39B52
zbMATH DE Number: 5712982
zbMATH Keywords: Hyers-Ulam stability
zbMATH Keywords: Hyers' iteration
zbMATH Keywords: \(C^{\ast}\)-algebra
zbMATH Keywords: Cauchy-Jensen functional inequality
zbMATH Keywords: Banach modules
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 5712982