Estimates for Diameter and Width for the Isoperimetrix in Minkowski Geometry
The following estimates are obtained for the diameter$D_B(I)$ and the width $\Delta_B(I)$ of isoperimetrix in Minkowski space $M^n$$$\displaystyle\frac{4v_{n-1}}{nv_n}\le \Delta_B(I)\le D_B(I)\le \displaystyle\frac{4v_{n-1}}{v_n},$$ where $v_n$ is a volume of the unit ball in $n$-dimensional Euclide...
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| Date: | 2006 |
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| Main Author: | |
| Format: | Article |
| Language: | English |
| Published: |
Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна Національної академії наук України
2006
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| Subjects: | |
| Online Access: | https://jmag.ilt.kharkiv.ua/index.php/jmag/article/view/1048 |
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| Journal Title: | Journal of Mathematical Physics, Analysis, Geometry |