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

By Pietro Cerone, Wing Sum Cheung and Sever S Dragomir

Abstract

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

Topics: 0101 Pure Mathematics, Research Group in Mathematical Inequalities and Applications (RGMIA), integral inequalities, Ostrowski inequality, Stieltjes integral, quadrature rules, mid-point rule, trapezoidal rule, convex functions
Publisher: School of Communications and Informatics, Faculty of Engineering and Science, Victoria University of Technology
Year: 2006
OAI identifier: oai:eprints.vu.edu.au:17483

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Citations

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