An Extremal Property of p-mean Width
| Autor: | Songjun Lv, Qunli Long |
|---|---|
| Rok vydání: | 2018 |
| Předmět: | |
| Zdroj: | Results in Mathematics. 73 |
| ISSN: | 1420-9012 1422-6383 |
| DOI: | 10.1007/s00025-018-0786-9 |
| Popis: | Several isoperimetric type inequalities for p-mean width of convex bodies in $$\mathbb {R}^n$$ are established. These inequalities show the interrelations among the p-mean width of a convex body in $$\mathbb {R}^n$$ , an isotropic measure on unit sphere, and the newly-introduced $$L_{r,s}$$ -pseudo-moment body of the given body in $$\mathbb {R}^n$$ . The equalities in these inequalities are all characterized by parallelotopes. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|
Full text from SpringerLink