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Approximation of the Riemann-Stieltjes Integral with (l,L)-Lipschitzian Integrators

Dragomir, Sever S (2007) Approximation of the Riemann-Stieltjes Integral with (l,L)-Lipschitzian Integrators. Research report collection, 10 (3).

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Abstract

Sharp error estimates in approximating the Riemann-Stieltjes integral with (l,L)-Lipschitzian integrators and applications for the Čebyšev functional are given. Some inequalities that complement the classical results due to Čebyšev, Grüss, Ostrowski and Lupaş are also provided.

Item Type: Article
Uncontrolled Keywords: Riemann-Stieltjes integral, (l,L)-Lipschitzian functions, integral inequalities, Čebyšev, Grüss, Ostrowski and Lupaş type inequalities
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: 10 Feb 2012 04:25
Last Modified: 23 May 2013 16:51
URI: http://vuir.vu.edu.au/id/eprint/17543
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Citations in Scopus: 1 - View on Scopus

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