Remarks on the Hyers-Ulam stability of some systems of functional equations

被引：17
|
作者：
Brzdek, Janusz [1 ]
Cieplinski, Krzysztof [1 ]
机构：
[1] Pedag Univ, Dept Math, PL-30084 Krakow, Poland
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2012年 / 219卷 / 08期
关键词：
Hyers-Ulam stability; Multi-Cauchy-Jensen-quadratic function; Cauchy equation; Jensen equation; Quadratic equation; RASSIAS STABILITY;
D O I：
10.1016/j.amc.2012.10.057
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we present a method that allows to study the Hyers-Ulam stability of some systems of functional equations connected with the Cauchy, Jensen and quadratic equations. In particular we generalize and extend some already known results. (C) 2012 Elsevier Inc. All rights reserved.
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页码：4096 / 4105
页数：10
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