Dual \(L_p\)-mixed geominimal surface area and related inequalities (Q530254)
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scientific article; zbMATH DE number 6607730
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Dual \(L_p\)-mixed geominimal surface area and related inequalities |
scientific article; zbMATH DE number 6607730 |
Statements
Dual \(L_p\)-mixed geominimal surface area and related inequalities (English)
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29 July 2016
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Summary: The integral formula of dual \(L_p\)-geominimal surface area is given, and the concept of dual \(L_p\)-geominimal surface area is extended to dual \(L_p\)-mixed geominimal surface area. Properties for the dual \(L_p\)-mixed geominimal surface areas are established. Some inequalities, such as analogues of Alexandrov-Fenchel inequalities, Blaschke-Santaló inequalities, and affine isoperimetric inequalities for dual \(L_p\)-mixed geominimal surface areas, are also obtained.
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integral formula
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dual \(L_p\)-geominimal surface area
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dual \(L_p\)-mixed geominimal surface area
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