含有对数方幂的正项级数的一种新判别方法

A New Criterion for Series of Positive Terms Containing Logarithmic Powers

利用一类含有lnn的正项级数作为比较标准,对正项级数的拉贝判别法进行推广,得到一个新的判别方法。该判别方法对含有对数方幂的正项级数敛散性判别特别有效。

Using a kind of positive series containing lnn as comparison standard, we obtained a new test for series of positive terms in this paper. The new convergence criterion is for the promotion of Raabe criterion. It is especially effective for positive terms containing logarithmic powers.