An inequality in metric spaces

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Dragomir, Sever S and Goşa, Anca C (2005) An inequality in metric spaces. Journal of the Indonesia Mathematical Society - J. Indones. Math. Soc. (Majalah Ilmiah Himpunan Matematika Indonesia), 11 (1). pp. 33-38. ISSN 0854-1388

Abstract

In this note we establish a general inequality valid in metric spaces that is related to the polygonal inequality and admits also a natural geometrical interpretation. Particular instances of interest holding in normed linear spaces and inner product spaces are pointed out as well.

Item type Article
URI https://vuir.vu.edu.au/id/eprint/2728
Subjects Historical > FOR Classification > 0101 Pure Mathematics
Historical > Faculty/School/Research Centre/Department > School of Engineering and Science
Keywords ResPubID9355; metric spaces, polygonal inequality, triangle inequality, inequalities for norms
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