关于含参量广义积分一致收敛性的教学研究

Uniform Convergence of the Generalized Integral with Parameters

对含参量广义积分的一致收敛性给予讨论,从一致收敛的定义出发给出一致收敛的充要条件,以及判断一致收敛的柯西判别法、微分法和级数判别法,并给出证明和运用实例.

The uniform convergence of the generalized integral with parameters is studied. The sufficient and necessary condition of uniform convergence is given based on the definition of the uniform convergence,and Cauchytest,differential method and series method of discriminating the uniform convergence are also given. The proofs and practical examples are also covered.