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On some inequalities in normed linear spaces

Dragomir, Sever S (2009) On some inequalities in normed linear spaces. Tamkang Journal of Mathematics, 40 (3). pp. 225-237. ISSN 0049-2930

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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
Uncontrolled Keywords: ResPubID17444. normed linear spaces, triangle inequality, Massera-Schaffer inequality, Dunkl-Williams inequality, Cebysev functional, inequalities
Subjects: Faculty/School/Research Centre/Department > School of Engineering and Science
FOR Classification > 0101 Pure Mathematics
SEO Classification > 970101 Expanding Knowledge in the Mathematical Sciences
Depositing User: VUIR
Date Deposited: 17 Oct 2011 00:43
Last Modified: 17 Oct 2011 00:43
URI: http://vuir.vu.edu.au/id/eprint/4270
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Citations in Scopus: 0 - View on Scopus

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