An Inequality in Metric Spaces

Dragomir, Sever S and Goşa, Anca C (2004) An Inequality in Metric Spaces. RGMIA research report collection, 7 (1).


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
Subjects Historical > FOR Classification > 0101 Pure Mathematics
Current > Collections > Research Group in Mathematical Inequalities and Applications (RGMIA)
Keywords metric spaces, polygonal inequality, triangle inequality, inequalities for norms
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