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

摘要

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.

Abstract: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.