函数级数一致收敛的Gauss判别法与对数判别法  

Gauss Test and Logarithmic Test for the Determination of Uniform Convergence of Function Series

作　　者：徐家斌[1] 马常友[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6期14-17,共4页Journal of Neijiang Normal University

摘　　要：基于将正项级数审敛法推广到函数级数一致收敛上去的思想,类比正项级数的Gauss判别法、对数判别法、拟对数判别法以及它们的极限形式,得到了函数级数一致收敛的相应判别法,丰富了函数级数一致收敛审敛法.Based on the idea of extending the convergence test for series of positive terms to the uniform convergence of function series,an analogy was made between the Gauss test,Logarithmic test,and Quasi-Logarithmic test and their limiting forms and thus worked out the corresponding test for determining the uniform convergence of function series,which helps enrich the uniform convergence of function series.

关 键 词：函数级数 一致收敛 Gauss判别法 对数判别法 拟对数判别法 

分 类 号：O173[理学—数学]