An extremal property of the symmetric decreasing rearrangement
| Autor: | Hoehner, Steven, Novaes, Júlia |
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| Rok vydání: | 2023 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| Popis: | Let $\alpha$ be a given real number. It is shown that for a given $\alpha$-concave function, its symmetric decreasing rearrangement is always harder to approximate in the symmetric difference metric by $\alpha$-affine minorants with a fixed number of break points. This extends a classical result of Macbeath (1951) from convex bodies to a functional setting. Comment: 11 pages, 1 figure |
| Databáze: | arXiv |
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