辛普生公式中间点的渐近性（英文）

摘要

Simpson Formula is the famous formula in numerical integration.By means of Taylor formula,this paper discusses the asymptotic properties of intermediate point for Simpson formula,when the two end points of interval tend to a fixed point in the interval.And the general results are obtained.%辛普生公式是数值积分中的著名公式.利用泰勒公式,讨论了当区间的两个端点都趋于其内一定点时辛普生公式中间点的渐近性,得到了具有一般性的结果.