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Some inequalities in inner product spaces related to the generalized triangle inequality |
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| Authors: | SS Dragomir YJ Cho SS Kim |
| Institution: | a Mathematics, School of Engineering and Science, Victoria University, P.O. Box 14428, Melbourne City, MC 8001, Australia b School of Computational and Applied Mathematics, University of the Witwatersrand, Private Bag-3, Wits-2050, Johannesburg, South Africa c Department of Mathematical Education and the RINS, Gyeongsang National University, Chinju 660-701, Republic of Korea d Department of Mathematics, Dongeui University, Busan 614-714, Republic of Korea |
| 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. |
| Keywords: | Triangle inequality Inner product spaces Normed spaces Ostrowski inequality |
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