On the Steiner inequality for the \(L_p\) surface area (Q6639730)
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scientific article; zbMATH DE number 7945729
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the Steiner inequality for the \(L_p\) surface area |
scientific article; zbMATH DE number 7945729 |
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On the Steiner inequality for the \(L_p\) surface area (English)
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18 November 2024
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The authors consider Steiner inequalities for the \(L_p\) surface area for \(p > 1\). They give two approaches: One bases on the machinery of \textit{E. Lutwak} et al. [Int. Math. Res. Not. 2006, No. 1, Article ID 62987, 21 p. (2006; Zbl 1110.46023)].\N\NThe other is a direct proof of the Steiner inequality for the \(L_p\) surface area. Also, the authors provide a new proof of Lutwak's \(L_p\) isoperimetric inequalities for \(p > 1\) together with equality conditions.
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functional \(L_p\) Minkowski problems
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Steiner inequalities
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isoperimetric inequality
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\(L_p\) Brunn-Minkowski theory
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\(L_p\) surface area
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Pólya-Szegö principle
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