On Some Inequalities in Normed Linear Spaces
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DownloadDragomir, Sever S (2007) On Some Inequalities in Normed Linear Spaces. Research report collection, 10 (Supp).
Abstract
Upper and lower bounds for the norm of a linear combination of vectors are given. Applications in obtaining various inequalities for the quantities ||x/||x|| - y/||y|| || and ||x/||y|| - y/||x|| ||, where x and y are nonzero vectors, that are related to the Massera-Schäffer and the Dunkl-Williams inequalities are also provided. Some bounds for the unweighted Čebyšev functional are given as well.
| Item type | Article |
| URI | https://vuir.vu.edu.au/id/eprint/18005 |
| Subjects | Historical > FOR Classification > 0101 Pure Mathematics Current > Collections > Research Group in Mathematical Inequalities and Applications (RGMIA) |
| Keywords | normed linear spaces, triangle inequality, Massera-Schäffer inequality, Dunkl-Williams inequality, Čebyšev functional |
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