On the stability of a quadratic Jensen type functional equation

被引：28
|
作者：
Lee, YW [1 ]
机构：
[1] Taejon Univ, Dept Math, Taejon 300716, South Korea
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2002年 / 270卷 / 02期
关键词：
Hyers-Ulam-Rassias; quadratic functional equation;
D O I：
10.1016/S0022-247X(02)00093-8
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 of the quadratic Jensen type functional equation 9f(x + y + z/3) + f(x) + f(y) + f(z) = 4[f(x + y/2) + f(y + z/2) + f(z + x/2)] and prove the stability of this equation in the spirit of Hyers, Ulam, Rassias, and Gavruta. (C) 2002 Elsevier Science (USA). All rights reserved.
引用
收藏
页码：590 / 601
页数：12
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