广义正项级数判别法及其灵敏度分析  

The Discriminant Method of Generalized Positive Series and Its Sensitivity Analysis

作　　者：王志虎 姜广浩 WANG Zhihu;JIANG Guanghao(School of Informatics,Huaibei Normal University,Huaibei 235000,China;School of Mathematics and Statistics,Huaibei Normal University,Huaibei 235000,China)

机构地区：[1]淮北师范大学信息学院,安徽淮北235000 [2]淮北师范大学数学与统计学院,安徽淮北235000

出　　处：《高等数学研究》2024年第3期32-35,49,共5页Studies in College Mathematics

基　　金：安徽省研究生线上示范课程项目(2022xssfkc022);安徽省本科生质量工程项目(2021jxtd257,2022jyxm1410,2022kcsz256);淮北师范大学学位与研究生教育项目(2020xyylkc001、RE230029).

摘　　要：本文引入灵敏度的概念来进行不同级数判别法的比较,使得判别正项级数时有一个一般性的思路,即低灵敏度的判别法无法判断敛散性时,考虑使用高灵敏度的判别法.This paper introduces the concept of sensitivity to compare various discriminant methods for different series,aiming to establish a general approach for discerning positive series.Specifically,it suggests employing high sensitivity discriminants when conventional methods fail to determine convergence or divergence.

关 键 词：广义正项级数 正项级数判别法 敛散性 灵敏度 

分 类 号：O171[理学—数学]