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Ostrowski and Trapezoid Type Inequalities for the Stieltjes Integral with Lipschitzian Integrands or Integrators

Barnett, Neil S and Cheung, Wing Sum and Dragomir, Sever S and Sofo, Anthony (2006) Ostrowski and Trapezoid Type Inequalities for the Stieltjes Integral with Lipschitzian Integrands or Integrators. Research report collection, 9 (4).

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Abstract

Some Ostrowski and trapezoid type inequalities for the Stieltjes integral in the case of Lischitzian integrators for both Hölder continuous and monotoonic integrals are obtained. The dual case is also analysed. Applications for the midpoint rule are pointed out as well.

Item Type: Article
Uncontrolled Keywords: integral inequalities, Ostrowski inequality, Stieltjes integral, quadrature rules, mid-point rule, trapezoidal rule
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: 17 Nov 2011 02:59
Last Modified: 24 May 2013 04:12
URI: http://vuir.vu.edu.au/id/eprint/17514
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