关于对数平均的上界和下界

On the Upper Bound and Lower Bound of the Logarithmic Mean

中文关键词:  对数平均  p次幂平均  上界  下界.

英文关键词:logrithmic mean  pth power mean  upper bound  lower bound.

中文摘要:

      本文指出关于对数平均的上界的一项研究工作中存在的错误，并且给出对数平均的一些更精密的上界和下界.

英文摘要:

      In this paper, we point out a mistake in ［4］， and give some upper bounds and lower bounds of the logarithmic mean which are more accurate than a well-known result.