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 (2009) Ostrowski and trapezoid type inequalities for the Stieltjes integral with Lipschitzian integrands or integrators. Computers and Mathematics with Applications, 57 (2). pp. 195-201. ISSN 0898-1221

Abstract

Some Ostrowski and trapezoid type inequalities for the Stieltjes integral in the case of Lipschitzian integrators for both Hölder continuous and monotonic 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/4137
Official URL http://www.sciencedirect.com/science/article/pii/S...
Subjects Historical > SEO Classification > 970101 Expanding Knowledge in the Mathematical Sciences
Historical > FOR Classification > 0102 Applied Mathematics
Historical > Faculty/School/Research Centre/Department > School of Engineering and Science
Keywords ResPubID17561. Ostrowski’s inequalities, Ostrowski type inequalities, majorisation type inequalities, majorisation theory, integral inequalities, Stieltjes integral, quadrature rules, mid-point rule, midpoint rule, trapezoidal rule, trapezoid type inequalities, monotonic integrals, integrators
Citations in Scopus 20 - View on Scopus
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