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Zbl 1147.46020
Maligranda, Lech
Some remarks on the triangle inequality for norms. (English)
[J] Banach J. Math. Anal. 2, No. 2, 31-41, electronic only (2008). ISSN 1735-8787/e

Summary: Remarks about strengthening of the triangle inequality and its reverse inequality in normed spaces for two and more elements are collected. There is also a discussion of the Foscjr-Muszely equality for $n$-elements in a normed space. Some other estimates which follow from the triangle inequality are also presented.

MSC 2000:: *46B99 Normed linear spaces and Banach spaces
51M16 Inequalities and extremum problems (geometry)

Cited in: Zbl 1216.39027 Zbl 1211.39018

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