摘要
利用梯形公式的余项,将被积函数的二阶导数做幂级数展开,证明了余项是关于求积区间长度的奇数次幂级数.推导出了复合梯形公式的一类渐近展开式,从另一方面印证了Euler-Maclaurin公式.
IN the truncation error of trapezoidal formula, the second derivative of integrand is expanded to power series. It is proved that the truncation error is really a power series with odd power team of the length of interval. A asymptotic series of composite trapezoidal formula is obtained here, and Euler-Maclaurin formula is verified.
出处
《大学数学》
北大核心
2006年第5期163-166,共4页
College Mathematics
