Lipschitz and Hölder continuity results for some functions of cones (Q740823)
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scientific article; zbMATH DE number 6341769
| Language | Label | Description | Also known as |
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| English | Lipschitz and Hölder continuity results for some functions of cones |
scientific article; zbMATH DE number 6341769 |
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Lipschitz and Hölder continuity results for some functions of cones (English)
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9 September 2014
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In this article, the author shows that both the maximal and minimal angle function on the set of closed convex cones in a Hilbert space are Lipschitz continuous. An application to aperture angle optimization is provided. Moreover, he proves that the incenter function of a solid cone and the circumcenter function of a sharp cone are locally Hölderian.
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convex cone
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maximal angle
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incenter
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circumcenter
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solidity coefficient
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sharpness coefficient
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Lipschitz continuity
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Hölder continuity
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