辛甫生公式余项“中间点”的渐进性及其应用

Asymptotic Behavior of Remainder"Midpoint" in Simpson Formula and Their Application

通过对辛甫生公式余项的研究,给出了辛甫生公式余项"中间点"的渐进性定理,利用此定理得到了一个改进的辛甫生公式.数值实例表明,改进的辛甫生公式比直接利用辛甫生公式能达到更高的精度.

The asymptotic behavior theorem of the remainder＂midpoint＂ in the Simpson formula is presented in this paper. The improved Simpson formula is obtained by this theory. Numerical experiments show that the Simpson formula is improved with the higher accuracy.