一致收敛积分的几个判别法

Several Tests for Uniform Convergence of Integrals

本文给出一致收敛积分的两个判别法、积分号下求导定理,附带给出函数列和函数项级数的一个一致收敛判别法.

In this paper, we give two tests for uniform convergence of integrals, and a theorem on derivation under the integral sign. In addition, a test for uniform convergence of (sequence or) series of functions is obtained also.