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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