Convergence properties of symmetrization processes (Q2689162)
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scientific article; zbMATH DE number 7661169
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Convergence properties of symmetrization processes |
scientific article; zbMATH DE number 7661169 |
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Convergence properties of symmetrization processes (English)
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9 March 2023
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The paper deals with symmetrizations with respect of a family of the subspaces that enjoy the properties of monotonicity, invariance under reflections and orthogonal translations. The author finds new theorems on the Hausdorff convergence of symmetrizations and provides a few of their implications. In particular, he generalizes a result of \textit{D. Coupier} and \textit{Yu. Davydov} [Adv. Appl. Probab. 46, No. 3, 603--621 (2014; Zbl 1319.60012)].
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convex body
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Steiner symmetrization
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Schwarz symmetrization
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Minkowski symmetrization
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fiber symmetrization
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Minkowski addition
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universal sequences
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