Gamma函数方程的稳定性

On the Stability of Gamma Functional Equation

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.

Since S. M. Ulam put forward the Ulam question, Hyers-Ulam stability of functional equations has taken people＇s attention. In this paper, we fu＇st 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）.