[1]崔哲男,王彪,赵顺实,等.广义二次函数方程在模糊赋范空间上的Hyers-Ulam稳定性[J].延边大学学报(自然科学版),2014,40(03):189-193，223.
　CUI Zhenan,WANG Biao,ZHAO Shunshi,et al.Hyers-Ulam stability of general quadratic functional equation in fuzzy normed spaces[J].Journal of Yanbian University,2014,40(03):189-193，223.
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广义二次函数方程在模糊赋范空间上的Hyers-Ulam稳定性

《延边大学学报(自然科学版)》[ISSN:1004-4353/CN:22-1191/N] 卷: 第40卷 期数: 2014年03期 页码: 189-193，223 栏目: 基础科学研究 出版日期: 2014-09-20
Title:
Hyers-Ulam stability of general quadratic functional equation in fuzzy normed spaces
作者:
崔哲男1;  王彪2;  赵顺实1;  李林松2*
1.延吉市第二高级中学, 吉林 延吉 133000; 2.延边大学理学院 数学系, 吉林 延吉 133002
Author(s):
CUI Zhenan1;  WANG Biao2;  ZHAO Shunshi1;  LI Linsong2*
1.Yanji No.2 High School, Yanji 133000, China; 2.Department of Mathematics, College of Science, Yanbian University, Yanji 133002, China
关键词:
模糊赋范空间;  广义二次方程;  Hyers-Ulam稳定性
Keywords:
fuzzy normed spaces;  general quadratic functional equation;  Hyers-Ulam stability
分类号:
O177.1
文献标志码:
A
摘要:
讨论了在模糊赋范空间下广义二次函数方程(4-k)f(ki=1xi)+kj=1f((ki=1,i≠jxi)-xj)=4ki=1f(xi), k≥3的Hyers-Ulam函数方程稳定性,指出在满足适当条件下按照模糊范数逼近的广义二次函数方程一
Abstract:
We investigate Hyers-Ulam stability result concerning the general quadratic functional equation(4-k)f(ki=1xi)+kj=1f((ki=1,i≠jxi)-xj)=4ki=1f(xi), k≥3 in the fuzzy normed spaces. More precisely, we show that under some suitable conditions that an approximately quadratic function can be approximated by a quadratic mapping in a fuzzy sense. Thus the research field of stability of functional equation is extended.

参考文献/References:

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备注/Memo

收稿日期: 2014-05-09*通信作者: 李林松(1968—),男,副教授,研究方向为应用泛函分析及量子信息理论.

更新日期/Last Update: 2014-09-20