摘要
数值积分中的Newton-Cotes公式余项中介点当积分区间长度趋于零时满足确定的极限关系式,当此关系式严格成立时,证明了被积函数是次数不超过某个常数的多项式函数.
The medium points contained in the remainder term of Newton-Cotes numerical integral formula satisfy constant expression of the limit relation when the length of integral interval tends to zero. It is proved that the integrands are polynomial functions which degree can not excess one constant number when these expressions of the relation are hold strictly.
出处
《数学的实践与认识》
CSCD
北大核心
2012年第11期172-175,共4页
Mathematics in Practice and Theory
关键词
数值积分公式
中介点
渐近性
多项式函数
Numerical integral formula
medium point
asymptotic property
polynomial function
