一些正项收敛级数求和的误差估计

THE ERROR ESTIMATE OF THE SUMMATION OF SOME POSITIVE CONVERGENT SERIES

本文引入收敛级数的误差界对的概念,并给出一些确定正项收敛级数的误差界对的方法,从而可对一些正项收敛级数的求和进行误差估计。

In this paper, the concept of error-bounding pair of convergent series is introduced, the methods determining the error-bounding pair of positive convergent series are presented, and the error of the summation of some positive convergent series can be estimated thereby.