摘要
在正项级数Gauss判别法的基础上,定义了正数列an的Gauss指标G=lim[n ln(an/an+1)-1]ln n.从而得到了正项级数的Gauss指标判别法.通过具体计算已有各种判别法的Gauss指标,结果表明,Gauss指标判别法是达朗贝尔、柯西、拉贝、高斯和Bertrand等5种判别法的推广.
Based on the Gauss discrimination method of positive term series, this paper defines the Gauss index G = lim[n ln（an/an＋l） - 1]ln n of Positive number sequence a, and gains the Gauss index discrimination method of positive term series. What＇s more, it is proved that the Gauss index discrimination method is on the basis of the J. D＇ Alembert＇s criterion, the A. L. Cauchy＇s criterion and the Gauss criterion and the Bertrand＇s criterion etc. through calculating all the Gauss index discrimination methods.
出处
《数学的实践与认识》
CSCD
北大核心
2008年第11期207-209,共3页
Mathematics in Practice and Theory
