拟Raabe判别法与拟对数判别法的强弱关系

The Ralation of Strength within Quasi-Raabe Judge Method and Quasi-Logarithmic Criteria

拟Raabe判别法是新近提出的关于正项级数收敛性的一种比较细致的判别法.对通项递减的正项级数来说,此判别法强于传统的Raabe判别法与Gauss判别法.通过对拟Raabe判别法与另一个细致的判别法——拟对数判别法强弱关系的探讨,得出了后一判别法强于前者的结论.

The quasi-Raabe judge method newly presented is a more careful judge method about convergence of positive series. When the terms of positive series are decreasing, the method is stronger than the traditional Raabe method and Gauss method. By the probe about the ralation of strength within quasi-Raabe judge method and another careful judge method--quasi-logarithmic criteria, we have obtained a conclusion that latter one is stronger than the former.