| Gamma函数方程的稳定性 |
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| 引用本文： | 李小新,查淑萍. Gamma函数方程的稳定性[J]. 合肥学院学报(自然科学版), 2006, 16(1): 8-10 |
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| 作者姓名： | 李小新 查淑萍 |
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| 作者单位： | 池州师范专科学校,数学与计算机科学系,安徽,池州,247000;池州师范专科学校,数学与计算机科学系,安徽,池州,247000 |
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| 摘 要： | 自S.M.U lam提出U lam问题以来,函数方程的Hyers-U lam稳定性受到了人们的重视.首先介绍了Hy-ers-U lam稳定性的定义,接着以Gamm a函数方程g(x 1)=xg(x)为对象,证明了它具有Hyers-U lam稳定性及一般的Hyers-U lam稳定性.
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| 关 键 词： | Gamma函数 方程 Hyers-Ulam稳定性 |
| 文章编号： | 1673-162X(2006)01-0008-03 |
| 修稿时间： | 2005-09-01 |
On the Stability of Gamma Functional Equation |
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| LI Xiao-xin,ZHA Shu-ping. On the Stability of Gamma Functional Equation[J]. Journal of Hefei University(Natural Sciences Edition), 2006, 16(1): 8-10 |
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| Authors: | LI Xiao-xin ZHA Shu-ping |
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| Abstract: | Since S.M.Ulam put forward the Ulam question,Hyers-Ulam stability of functional equations has taken people's attention.In this paper,we first introduce the definition of Hyers-Ulam stability,then prove Hyers-Ulam stability and general Hyers-Ulam stability of Gamma functional equation g(x 1)=xg(x). |
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| Keywords: | Gamma functional equation Hyers-Ulam stability |
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