Cotes求积公式的误差

Error margin of Cotes quadrature formula

由于cotes求积公式在实际计算中有较高的精度而被人们广泛采用.对于其误差的估计,现有的文献都是在不加证明的情况下给出一个误差估计式.在此,首先给出了cotes求积公式的代数精度,然后给出了cotes求积公式的误差估计式的严格推导过程.

The cotes quadrature formula is widely used as it has high precision in actual calculation. Concerning its error margin estimating, all of current literatures give a formula of error margin estimating under the uncertain circumstance. This paper gives the algebra fineness of the cotes quadrature formula, then presents the strict deduction of the error margin estimating formula.