A general stability theorem for a class of functional equations including quadratic-additive functional equations

被引：0
|
作者：
Lee, Yang-Hi [1 ]
Jung, Soon-Mo [2 ]
机构：
[1] Gongju Natl Univ Educ, Dept Math Educ, Gongju 314711, South Korea
[2] Hongik Univ, Math Sect, Coll Sci & Technol, Sejong 339701, South Korea
来源：
JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS | 2017年 / 22卷 / 01期
基金：
新加坡国家研究基金会;
关键词：
generalized Hyers-Ulam stability; functional equation; n-dimensional quadratic additive type functional equation; quadratic-additive mapping; direct method;
D O I：
暂无
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
We prove a general stability theorem of an n-dimensional quadratic-additive type functional equation D f(x(1), x(2), ..., x(n)) =Sigma(i=1)c(i)f (a(i1)x(1) + a(i2)x(2) + ... + a(in)x(n)) = 0 by using the direct method.
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页码：64 / 78
页数：15
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