摘要
利用有界变差函数的性质,建立了比Cauchy积分判别法更广泛的新的积分判别法;利用实分析中的Lebesgue逐项积分定理,推广了文献[7]中一个数项级数收敛性判别法.
In this paper we employ a new technique based on some properties of the functions ofbounded variation, new integral test for convergence of infinite series is established. By the use of theLebesgue term by term integration theorem, a new convergence test of infinite series is given.
关键词
无穷级数
积分判别法
有界变差函数
infinite series
integral test
function of bounded variation
