Approximating the Stieltjes Integral via the Darst-Pollard Inequality

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Dragomir, Sever S and Sofo, Anthony (2007) Approximating the Stieltjes Integral via the Darst-Pollard Inequality. Research report collection, 10 (Supp).

Abstract

An approximation of the Stieltjes integral of bounded integrals and continuous integrators via the Darst-Pollard inequality is given. Applications for the generalised trapezoid formula and the Ostrowski inequality for functions of bounded variation are also provided.

Item type Article
URI https://vuir.vu.edu.au/id/eprint/18000
Subjects Historical > FOR Classification > 0101 Pure Mathematics
Current > Collections > Research Group in Mathematical Inequalities and Applications (RGMIA)
Keywords Stieltjes integral, Darst-Pollard inequality, generalised trapezoid rule, Ostrowski inequality
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