期刊信息
- 刊名： 河北师范大学学报（自然科学版）Journal of Hebei Normal University (Natural Science)
- 主办： 河北师范大学
- ISSN： 1000-5854
- CN： 13-1061/N
- 中国科技核心期刊
- 中国期刊方阵入选期刊
- 中国高校优秀科技期刊
- 华北优秀期刊
- 河北省优秀科技期刊
二次函数方程在β-范空间中的Ulam稳定性
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1. 河北师范大学 数学与信息科学学院, 河北 石家庄 050024;
2. 河北省计算数学与应用重点实验室, 河北 石家庄 050024 -
DOI：10.13763/j.cnki.jhebnu.nse.2015.06.003
On the Ulam Stability of Quadratic Functional Equations in β-normed Spaces
摘要/Abstract
摘要：
引进了矩阵β 范空间的概念, 并利用直接的方法证明了2种形式二次方程在β 范空间和矩阵β 范空间中的Ulam稳定性, 结论把Ulam稳定性推广到了相应的空间.
Abstract：
We introduce the concept of matrix β-normed space and prove the Ulam stability for two kinds of quadratic functional equations in β-normed spaces and matrix β-normed spaces by direct method.Our results can be regarded as an extension of Ulam stability in the corresponding spaces.
关键词
Key words：
quadratic functional equations
;
β-normed spaces
;
matrix β-normed spaces
;
stability
参考文献 9
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