Inequalities for volumes and medians of two simplices (Q2770420)
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scientific article; zbMATH DE number 1703257
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Inequalities for volumes and medians of two simplices |
scientific article; zbMATH DE number 1703257 |
Statements
19 August 2003
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simplices
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inequalities
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medians
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volume
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Neuberg-Pedoe's inequality
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Inequalities for volumes and medians of two simplices (English)
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The author extends inequalities of Neuberg-Pedoe (concerning the edge-lengths and the area of two triangles) and Gangsong (concerning the edge-lengths and the volumes of two \(n\)-dimensional simplices) to another inequality for the medians and the volumes of two \(n\)-dimensional simplices; equality sign is attained if both simplices are regular. Some other inequalities are obtained as corollaries from the main result.
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