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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

Provided by:
Victoria University Eprints Repository

Downloaded from
http://vuir.vu.edu.au/17483/1/OTIACIBVISI-revised.pdf

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