The inscribed simplex in a centrally symmetric convex body in \(E^ n\) (Q750906)
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scientific article; zbMATH DE number 4175881
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The inscribed simplex in a centrally symmetric convex body in \(E^ n\) |
scientific article; zbMATH DE number 4175881 |
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The inscribed simplex in a centrally symmetric convex body in \(E^ n\) (English)
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1987
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For any centrally symmetric convex body F in \({\mathbb{E}}^ n\) and any inscribed simplex p the inequality \(| F| \geq n\cdot | p|\) is shown where \(| \cdot |\) denotes n-volume. A sharper inequality is known for \(n\geq 4\), but the author's proof is much shorter using a result of \textit{G. D. Chakerian} [Elem. Math. 28, 108-111 (1973; Zbl 0262.52007)].
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inequality concerning volume
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centrally symmetric convex body
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inscribed simplex
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