辛普森法则重述

arXiv: Classical Analysis and ODEs Pub Date : 2020-11-27 DOI:10.1142/s0219876221500110

S. Simić, B. Bin-Mohsin

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引用次数: 0

摘要

本文给出了辛普森法则在经典形式下不适用的一些改进，即当目标函数在给定区间上不是四倍可微时。并证明了辛普森规则扩展形式下的一些尖锐的双边不等式。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Simpson’s Rule Revisited

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.

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来源期刊

arXiv: Classical Analysis and ODEs

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