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Two Ostrowski Type Inequalities for the Stieltjes Integral of Monotonic Functions

Cheung, Wing Sum and Dragomir, Sever S (2006) Two Ostrowski Type Inequalities for the Stieltjes Integral of Monotonic Functions. Research report collection, 9 (3).

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Abstract

Two integral inequalities of Ostrowski type for the Stieltjes integral are given. The first is for monotonic integrators and Hölder continuous integrands while the second considers the dual case, i.e., for monotonic integrands and Hölder continuous integrators. Applications for the mid-point inequality that are useful in the numerical analysis of Stieltjes integrals are exhibited. Some connections with the generalised trapezoidal rule are also presented.

Item Type: Article
Uncontrolled Keywords: integral inequalities, Ostrowski inequality, Stieltjes integral, quadrature rules, mid-point 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: 16 Nov 2011 22:25
Last Modified: 24 May 2013 04:12
URI: http://vuir.vu.edu.au/id/eprint/17498
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