Two Ostrowski Type Inequalities for the Stieltjes Integral of Monotonic Functions

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

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
URI https://vuir.vu.edu.au/id/eprint/17498
Subjects Historical > FOR Classification > 0101 Pure Mathematics
Current > Collections > Research Group in Mathematical Inequalities and Applications (RGMIA)
Keywords integral inequalities, Ostrowski inequality, Stieltjes integral, quadrature rules, mid-point rule
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