Simpson's Rule Revisited

被引：3

作者：

Simic, Slavko ^{[1
,2
]}

Bin-Mohsin, Bandar ^{[3
]}

机构：

[1] Ton Duc Thang Univ, Nonlinear Anal Res Grp, Ho Chi Minh City, Vietnam

[2] Ton Duc Thang Univ, Fac Math & Stat, Ho Chi Minh City, Vietnam

[3] King Saud Univ, Coll Sci, Dept Math, Riyadh 11451, Saudi Arabia

来源：

INTERNATIONAL JOURNAL OF COMPUTATIONAL METHODS | 2021年 / 18卷 / 07期

关键词：

Simpson's rule; twice differentiable functions; convex functions; INEQUALITIES;

D O I：

10.1142/S0219876221500110

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

In this paper, we give some refinements of Simpson's rule in cases when it is not applicable in its 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.

引用

页数：12

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