On Ostrowski Type Inequalities for Stieltjes Integrals with Absolutely Continuous Integrands and Integrators of Bounded Variation

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Cerone, Pietro, Cheung, Wing Sum and Dragomir, Sever S (2006) On Ostrowski Type Inequalities for Stieltjes Integrals with Absolutely Continuous Integrands and Integrators of Bounded Variation. Research report collection, 9 (2).

Abstract

Some Ostrowski type inequalities are given for the Stieltjes integral where the integrand is absolutely continuous while the integrator is of bounded variation. The case when |f'| is convex is explored. Applications for the midpoint rule and a generalised trapezoid type rule are also presented.

Item type Article
URI https://vuir.vu.edu.au/id/eprint/17483
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, convex functions
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