Two Ostrowski Type Inequalities for the Stieltjes Integral of Monotonic Functions
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Cheung, Wing Sum and Dragomir, Sever S (2007) Two Ostrowski Type Inequalities for the Stieltjes Integral of Monotonic Functions. Bulletin of the Australian Mathematical Society, 75 (2). pp. 299-311. ISSN 0004-9727
Abstract
Two integral inequalities of Ostrowski type for the Stieltjes integral are given. The first is for monotonic integrators and Holder continuous integrands while the second considers the dual case, i.e., for monotonic integrands and Holder continuous integrators. Applications for the mid-point inequality that are useful in the numerical analysis of Stieltjes integrals are exhibited. Some connections with the generalised trapezoidal rule are also presented.
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| Item type | Article |
| URI | https://vuir.vu.edu.au/id/eprint/3214 |
| DOI | 10.1017/S0004972700039228 |
| Official URL | http://dx.doi.org/10.1017/S0004972700039228 |
| Subjects | Historical > Faculty/School/Research Centre/Department > School of Engineering and Science Historical > FOR Classification > 0103 Numerical and Computational Mathematics Historical > SEO Classification > 9399 Other Education and Training |
| Keywords | ResPubID14260, Ostrowski type, Stieltjes integral, monotonic integrators, Holder continuous integrands, monotonic integrands, Holder continuous integrators, generalised trapezoidal rule |
| Citations in Scopus | 15 - View on Scopus |
| Download/View statistics | View download statistics for this item |
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