Simpson's Rule Revisited
Classical Analysis and ODEs
2020-11-30 v1
Abstract
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.
Cite
@article{arxiv.2011.13559,
title = {Simpson's Rule Revisited},
author = {Slavko Simic},
journal= {arXiv preprint arXiv:2011.13559},
year = {2020}
}