广义积分∫from n=a to +∞(f(x)dx)敛散性的一种判别法  

A discriminance to decide convergence or divergence of generalized integral ∫ from n=a to +∞(f(x)dx)

作　　者：边亚明[1] 

机构地区：[1]无锡科技职业学院基础部,江苏无锡214028

出　　处：《沈阳工程学院学报（自然科学版）》2006年第4期379-381,共3页Journal of Shenyang Institute of Engineering:Natural Science

摘　　要：以柯西收敛定理为基础,提出了非负函数f(x)的两类广义积分敛散性的一种新的判别方法,通过证明论证了该方法的正确性和有效性。它和非负函数比较判别法互为补充,可较好地解决非负函数的广义积分敛散性问题。Taking Cauchy convergence theorem as the basis, puts forward a new discriminance to decide convergence or divergence of two kinds of generalized integral of nonnegative function f（x）, demonstrates the accuracy and effectiveness of this discriminance by proving. This method and comparative discriminance of nonnegative function are complementary mutually, may solve well the problem of convergence or divergence of generalized integral of nonnegarive function.

关 键 词：非负函数 敛散性 广义积分 

分 类 号：O171[理学—数学]