正项函数级数一致收敛Raabe判别法的推广  

The Extension of Raabe Test for Uniform Convergence of Positive Term Series of Functions

作　　者：徐家斌[1] 

机构地区：[1]内江师范学院数学与信息科学学院,四川内江641100

出　　处：《内江师范学院学报》2011年第4期14-17,共4页Journal of Neijiang Normal University

基　　金：内江师范学院青年基金项目(09NJZ-3-09254)

摘　　要：以根式判别法为基础,将正项函数项级数一致收敛的Raabe判别法、Gauss判别法推广成根式形式,得到的新判别法优于原有判别法.丰富了函数项级数一致收敛的审敛法.最后辅以例证说明新判别法的优越性.According root test,so root test was used as the basis and thus the Raabe test and Gauss test for uniform convergence for positive term series of functions are extended into a root style,and the new tests thus obtained are more effective than the original tests,which help enrich the covergence technique of positive term series of functions.Finally,examples are taken to show the effectiveness of the show ew tests.

关 键 词：函数级数 一致收敛 RAABE判别法 Gauss判别法 

分 类 号：O173.1[理学—数学]