标题:
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
作者:
姜东焕, 高德智, 徐光宝
关键字:
正项级数, 拉贝判别法, 收敛性, 发散性Series of Positive Terms, Raabe Criterion, Convergence Criterion, Divergence
期刊名称:
《Advances in Applied Mathematics》, Vol.4 No.1, 2015-01-27
摘要:
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.