On some inequalities in normed linear spaces

Authors

  • S. S. Dragomir

DOI:

https://doi.org/10.5556/j.tkjm.40.2009.502

Abstract

Upper and lower bounds for the norm of a linear combination of vectors are given. Applications in obtaining various inequalities for the quantities $ \Vert x / \Vert x \Vert -y / \Vert y \Vert \Vert $ and $ \Vert x/ \Vert y \Vert -y/ \Vert x \Vert \Vert $, 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.

Author Biography

S. S. Dragomir

School of Engineering and Science, Victoria University, PO Box 14428, Melbourne VIC 8001, Australia.

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Published

2009-09-30

How to Cite

Dragomir, S. S. (2009). On some inequalities in normed linear spaces. Tamkang Journal of Mathematics, 40(3), 225-237. https://doi.org/10.5556/j.tkjm.40.2009.502

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Papers

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