On some inequalities in normed linear spaces
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Dragomir, Sever S (2009) On some inequalities in normed linear spaces. Tamkang Journal of Mathematics, 40 (3). pp. 225-237. ISSN 0049-2930
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-Schaffer and the Dunkl-Williams inequalities are also provided. Some bounds for the unweighted Cebysev functional are given as well.
| Item type | Article |
| URI | https://vuir.vu.edu.au/id/eprint/4270 |
| Official URL | http://journals.math.tku.edu.tw/index.php/TKJM/art... |
| 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 | ResPubID17444. normed linear spaces, triangle inequality, Massera-Schaffer inequality, Dunkl-Williams inequality, Cebysev functional, inequalities |
| Citations in Scopus | 0 - View on Scopus |
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