ON THE STABILITY OF A CAUCHY-JENSEN FUNCTIONAL EQUATION

被引：5

作者：

Jun, Kil-Woung ^{[1
]}

Lee, Yang-Hi ^{[2
]}

Cho, Young-Sun ^{[1
]}

机构：

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

[2] Gongju Natl Univ Educ, Dept Math Educ, Gongju 314711, South Korea

来源：

COMMUNICATIONS OF THE KOREAN MATHEMATICAL SOCIETY | 2008年 / 23卷 / 03期

关键词：

stability; Cauchy-Jensen mapping; functional equation;

D O I：

10.4134/CKMS.2008.23.3.377

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we prove the stability of a Cauchy-Jensen functional equation 2f(x + y, z + w/2) = f(x, z) + f(x, w) + f(y, z) + f(y, w) in the sense of Th. M. Rassias.

引用

页码：377 / 386

页数：10

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