几个复合型数值积分公式的内禀关连性

摘要

At the numerical integration,between the compound trapezoidal formula and the compound Simpson formula,with the compound Cotes formula and the compound Simpson formula,they have natural and intrinsic interrelation,and the interrelation must be existence.For the interrelation,this paper gives the mathematical demonstrate and explanation.%在数值积分中,复合辛普森（Simpson）公式与复合梯形公式之间,复合辛普森公式与复合柯特斯（Cotes）公式之间,存在着内在的关连性,文中对这种关连性予以数学推导并辅以解说诠释.