A companion for the Ostrowski and the generalized trapezoid inequalities
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Barnett, Neil S, Dragomir, Sever S and Gomm, Ian (2009) A companion for the Ostrowski and the generalized trapezoid inequalities. Mathematical and Computer Modelling, 50 (1-2). pp. 179-187. ISSN 0895-7177
Abstract
A companion for the Ostrowski and the generalised trapezoid inequalites for various classes of functions, including functions of bounded variation, Lipschitzian, convex and absolutely continuous functions is established. Applications for weighted means are also given.
| Item type | Article |
| URI | https://vuir.vu.edu.au/id/eprint/4140 |
| Official URL | http://www.sciencedirect.com/science/article/pii/S... |
| Subjects | Historical > Faculty/School/Research Centre/Department > School of Engineering and Science Historical > FOR Classification > 0101 Pure Mathematics Historical > SEO Classification > 970101 Expanding Knowledge in the Mathematical Sciences |
| Keywords | ResPubID17578. Ostrowski’s inequalities, Ostrowski type inequalities, generalised trapezoid inequality, functions of bounded variation, Lipschitzian functions, convex functions, absolutely continuous functions, trapezoid type inequalities |
| Citations in Scopus | 32 - View on Scopus |
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