Some inequalities in inner product spaces related to the generalized triangle inequality
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Dragomir, Sever S, Cho, Yeol Je and Kim, Seong Sik (2011) Some inequalities in inner product spaces related to the generalized triangle inequality. Applied Mathematics and Computation, 217 (18). pp. 7462-7468. ISSN 0096-3003
Abstract
In this paper we obtain some inequalities related to the generalized triangle and quadratic triangle inequalities for vectors in inner product spaces. Some results that employ the Ostrowski discrete inequality for vectors in normed linear spaces are also obtained.
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| Item type | Article |
| URI | https://vuir.vu.edu.au/id/eprint/8896 |
| DOI | 10.1016/j.amc.2011.02.046 |
| Official URL | http://www.sciencedirect.com/science/article/pii/S... |
| Subjects | Historical > FOR Classification > 0102 Applied Mathematics Historical > SEO Classification > 970101 Expanding Knowledge in the Mathematical Sciences Historical > Faculty/School/Research Centre/Department > School of Engineering and Science |
| Keywords | ResPubID22961, triangle inequality, inner product spaces, normed spaces, Ostrowski inequality |
| Citations in Scopus | 6 - View on Scopus |
| Download/View statistics | View download statistics for this item |
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