The Beesack-Darst-Pollard Inequalities and Approximation of the Riemann-Stieltjes Integral

Barnett, Neil S and Dragomir, Sever S (2007) The Beesack-Darst-Pollard Inequalities and Approximation of the Riemann-Stieltjes Integral. Research report collection, 10 (2).

Abstract

Utilising the Beesack version of the Darst-Pollard inequality, some error bounds for approximating the Riemann-Stieltjes integral are given. Some applications related to the trapezoid and mid-point quadrature rules are provided.

Item type Article
URI https://vuir.vu.edu.au/id/eprint/17534
Subjects Historical > FOR Classification > 0101 Pure Mathematics
Current > Collections > Research Group in Mathematical Inequalities and Applications (RGMIA)
Keywords Riemann-Stieltjes integral, Riemann integral, trapezoid rule, mid-point rule
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