Simpson校正公式误差的精确表示

Exact Representation of the Error of the Simpson Correction Formula

利用带有积分余项的Taylor公式重新推导了Simpson校正公式,同时给出了其误差的精确表示,而这一结果将优于Simpson校正公式[J]中的误差估计.

By using the Taylor formula with integral remainder,in this paper,the simpson correction formula is deduced;At the same time,the exact representation of the error is given.And this result will be better than the error estimation in the article[3].