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Research Article Open access CC BY 4.0

Sharp Triangle Inequalities in Quasi-Normed Spaces

Risto Malčeski

Journal of Advances in Mathematics and Computer Science · pp. 258–265 · Published 18 Feb 2015

10.9734/BJMCS/2015/15579

Abstract

Triangle inequality is regarded as the most prominent and important inequality in the theory of normed spaces and therefore it has been a major topic of interest treated by numerous mathematicians. However, the above inequality, as well as its generalizations are also very important in the theory of quasi-normed spaces. Therefore, that one is a subject of additional research in both quasi-normed and generalized quasi-normed space.

Quasi-norm generalized quasi-norm triangle inequality.

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