Convergence properties of symmetrization processes

Convergence properties of symmetrization processes

Steiner symmetrization is well known for its rounding and general convergence properties. We identify a whole family of symmetrizations satisfying certain properties. In fact, we prove that all these symmetrizations share the same convergence behaviors.

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Veröffentlicht in:Advances in applied mathematics 2023-05, Vol.146, p.102484, Article 102484
1. Verfasser: Ulivelli, Jacopo
Format: Artikel
Sprache:eng
Schlagworte:
Convex body
Fiber symmetrization
Minkowski addition
Minkowski symmetrization
Schwarz symmetrization
Steiner symmetrization
Universal sequences
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Beschreibung
Zusammenfassung:Steiner symmetrization is well known for its rounding and general convergence properties. We identify a whole family of symmetrizations satisfying certain properties. In fact, we prove that all these symmetrizations share the same convergence behaviors.
ISSN:0196-8858
1090-2074
DOI:10.1016/j.aam.2023.102484