\(L_p\)-curvature measures and \(L_{p, q}\)-mixed volumes (Q2171675)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | \(L_p\)-curvature measures and \(L_{p, q}\)-mixed volumes |
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\(L_p\)-curvature measures and \(L_{p, q}\)-mixed volumes (English)
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9 September 2022
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\(L_p\)-curvature measure (as a generalization of the surface area measure) is introduced and studied. The associated \(L_{p,q}\)-mixed volume (which includes \(L_p\)-mixed volume as a special cases) is introduced. A Minkowski-type inequality related the \(L_{p,q}\)-mixed volume is proven, and the uniqueness of the solution for the corresponding Minkowski problem is obtained.
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convexity
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Minkowski inequality
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integral curvature measure
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\(L_p\)-curvature measure
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