The \(L_p\)-mixed quermassintegrals for \(0 < p < 1\) (Q2667756)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The \(L_p\)-mixed quermassintegrals for \(0 < p < 1\) |
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The \(L_p\)-mixed quermassintegrals for \(0 < p < 1\) (English)
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1 March 2022
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The authors extend the definitions of \(L_p\) harmonic addition and \(p\)-harmonic Blaschke addition for the cases \(0 < p < 1\), and prove Brunn-Minkowski type inequalities for them. Furthermore, they use the latter definition to define \(p\)-harmonic Blaschke mixed quermassintegrals of a starlike body, and prove Minkowsi and Brunn-Minkowski type inequalities about them.
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\(p\)-radial addtion
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\(p\)-harmonic addition
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harmonic Blaschke addition
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\(p\)-harmonic Blaschke addition
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\(L_p\)-dual mixed volume
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