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Bounding the Čebyšev Functional for the Riemann-Stieltjes Integral via a Beesack Inequality and Applications

Cerone, Pietro and Dragomir, Sever S (2008) Bounding the Čebyšev Functional for the Riemann-Stieltjes Integral via a Beesack Inequality and Applications. Research report collection, 11 (2).

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Abstract

Lower and upper bounds of the Čebyšev functional for the Riemann- Stieltjes integral are given. Applications for the three point quadrature rules of functions that are n-time differentiable are also provided.

Item Type: Article
Uncontrolled Keywords: Riemann-Stieltjes integral, Čebyšev functional, integral inequalities, quadrature rules
Subjects: FOR Classification > 0101 Pure Mathematics
Collections > Research Group in Mathematical Inequalities and Applications (RGMIA)
Depositing User: Research Group in Mathematical Inequalities and Applications
Date Deposited: 09 Feb 2012 23:14
Last Modified: 23 May 2013 16:51
URI: http://vuir.vu.edu.au/id/eprint/17612
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