摘要
在一定的条件下给出了两个含参数的积分不等式,其误差估计是最佳的。由此统一处理了积分近似计算的中点矩形法、梯形法和抛物线法中出现的三个基本的不等式。
Two integral inequalities with a parameter whose estimation of errors is best were given under certain conditions.Thus an unified treatment of three fundamental inequalities in midpoint-rectangular rule,trapezoidal rule and parabolic rule for calculating definite integrals approximately was provided.
出处
《鞍山科技大学学报》
2005年第1期17-21,共5页
Journal of Anshan University of Science and Technology
关键词
中点不等式
梯形不等式
辛普森不等式
简单的三点不等式
误差估计
midpoint inequality
trapezoid inequality
Simpson inequality
simple three point inequality
estimate of error