论文标题
辛普森的规则被重新审视
Simpson's Rule Revisited
论文作者
论文摘要
在本文中,我们在不适用于经典形式的情况下,即,当目标函数在给定的间隔中不是四倍时,我们给出了Simpson规则的一些改进。对于辛普森统治的扩展形式的一些尖锐的两侧不平等现象也得到了证明。
In this article we give some refinements of Simpson's Rule in cases when it is not applicable in it's classical form i.e., when the target function is not four times differentiable on a given interval. Some sharp two-sided inequalities for an extended form of Simpson's Rule are also proven.