On a Cauchy-Jensen functional equation and its stability

被引：30

作者：

Park, Won-Gil

Bae, Jae-Hyeong ^{[1
]}

机构：

[1] Kyung Hee Univ, Dept Math & Appl Math, Yongin 449701, South Korea

[2] Chungnam Natl Univ, Dept Math, Taejon 305764, South Korea

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2006年 / 323卷 / 01期

关键词：

solution; stability; Cauchy-Jensen mapping; functional equation;

D O I：

10.1016/j.jmaa.2005.09.028

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we obtain the general solution and stability of the Cauchy-Jensen functional equation 2f (x+y, z+w/2) = f(x, z) + f(x, w) + f(y, z) + f(y, w). (c) 2005 Elsevier Inc. All rights reserved.

引用

页码：634 / 643

页数：10

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