Bounding the Cebysev functional for the Riemann-Stieltjes integral via a Beesack inequality and applications

被引：5

作者：

Cerone, P. ^{[1
]}

Dragomir, S. S. ^{[1
]}

机构：

[1] Victoria Univ, Sch Comp Sci & Math, Melbourne, Vic 8001, Australia

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2009年 / 58卷 / 06期

关键词：

Riemann-Stieltjes integral; Cebysev functional; Integral inequalities; Quadrature rules;

D O I：

10.1016/j.camwa.2009.07.029

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Lower and upper bounds of the Cebysev functional for the Riemann-Stieltjes integral are given. Applications relating to the three-point quadrature rules of functions that are differentiable n times are also provided. Crown Copyright (C) 2009 Published by Elsevier Ltd. All rights reserved.

引用

页码：1247 / 1252

页数：6

共 9 条

[1] [Anonymous], 1999, DEMONSTRATIO MATH
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[4] Cerone P., 2000, Demonstr. Math, V33, P719, DOI [10.1515/dema-2000-0404, DOI 10.1515/DEMA-2000-0404]
[5] AN INEQUALITY FOR RIEMANN-STIELTJES INTEGRAL
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[6] Dragomir SS, 2004, J KOREAN MATH SOC, V41, P249
[7] Sharp bounds of Cebysev functional for Stieltjes integrals and applications
Dragomir, SS
[J]. BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 2003, 67 (02) : 257 - 266
[8] Dragomir SS, 2002, Ostrowski Type Inequalities and Applications in Numerical Integration
[9] DRAGOMIR SS, 2004, KRAGUJEVAC J MATH, V26, P89

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