Sharp inequalities of Simpson type and Ostrowski type

被引：52

作者：

Ujevic, N ^{[1
]}

机构：

[1] Univ Split, Dept Math, Split 21000, Croatia

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2004年 / 48卷 / 1-2期

关键词：

quadrature formulas; sharp error bounds; Simpson's inequality; Ostrowski inequality; numerical integration;

D O I：

10.1016/j.camwa.2003.09.026

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Two sharp inequalities are derived. The first is a sharp Simpson's inequality and the second is a sharp inequality of Ostrowski type. The mentioned inequalities give error bounds for some known quadrature rules. These results enlarge applicability of the corresponding quadrature rules with respect to the obtained error bounds. Applications in numerical integration are also given. (C) 2004 Elsevier Ltd. All rights reserved.

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页码：145 / 151

页数：7

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