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On Ostrowski Type Inequalities for Stieltjes Integrals with Absolutely Continuous Integrands and Integrators of Bounded Variation

Cerone, Pietro and Cheung, Wing Sum and Dragomir, Sever S (2006) On Ostrowski Type Inequalities for Stieltjes Integrals with Absolutely Continuous Integrands and Integrators of Bounded Variation. Research report collection, 9 (2).

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Abstract

Some Ostrowski type inequalities are given for the Stieltjes integral where the integrand is absolutely continuous while the integrator is of bounded variation. The case when |f'| is convex is explored. Applications for the midpoint rule and a generalised trapezoid type rule are also presented.

Item Type: Article
Uncontrolled Keywords: integral inequalities, Ostrowski inequality, Stieltjes integral, quadrature rules, mid-point rule, trapezoidal rule, convex functions
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 02:41
Last Modified: 23 May 2013 16:50
URI: http://vuir.vu.edu.au/id/eprint/17483
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