Ostrowski and Trapezoid Type Inequalities for the Stieltjes Integral with Lipschitzian Integrands or Integrators

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Barnett, Neil S, Cheung, Wing Sum, Dragomir, Sever S and Sofo, Anthony (2006) Ostrowski and Trapezoid Type Inequalities for the Stieltjes Integral with Lipschitzian Integrands or Integrators. Research report collection, 9 (4).

Abstract

Some Ostrowski and trapezoid type inequalities for the Stieltjes integral in the case of Lischitzian integrators for both Hölder continuous and monotoonic integrals are obtained. The dual case is also analysed. Applications for the midpoint rule are pointed out as well.

Item type Article
URI https://vuir.vu.edu.au/id/eprint/17514
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, trapezoidal rule
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