𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Inequalities for mixedp-affine surface area

✍ Scribed by Elisabeth Werner; Deping Ye


Publisher
Springer
Year
2009
Tongue
English
Weight
400 KB
Volume
347
Category
Article
ISSN
0025-5831

No coin nor oath required. For personal study only.


πŸ“œ SIMILAR VOLUMES


Mixed affine surface area
✍ Erwin Lutwak πŸ“‚ Article πŸ“… 1987 πŸ› Elsevier Science 🌐 English βš– 470 KB
A Characterization of Affine Surface Are
✍ Monika Ludwig; Matthias Reitzner πŸ“‚ Article πŸ“… 1999 πŸ› Elsevier Science 🌐 English βš– 239 KB

We show that every upper semicontinuous and equi-affine invariant valuation on the space of d-dimensional convex bodies is a linear combination of affine surface area, volume, and the Euler characteristic.

On the p-Affine Surface Area
✍ Mathieu Meyer; Elisabeth Werner πŸ“‚ Article πŸ“… 2000 πŸ› Elsevier Science 🌐 English βš– 192 KB
Random Polytopes and Affine Surface Area
✍ Carsten SchΓΌtt πŸ“‚ Article πŸ“… 2006 πŸ› John Wiley and Sons 🌐 English βš– 686 KB

## Abstract Let __K__ be a convex body in R__^d^__. A random polytope is the convex hull [x~1~, …, __x~n~__] of finitely many points chosen at random in __K__. IE(__K, n__) is the expectation of the volume of a random polytope of __n__ randomly chosen points. I. BΓ‘rΓ‘ny showed that we have for conve

Surface area inequalities for ellipsoids
✍ Richard E. Pfiefer πŸ“‚ Article πŸ“… 1988 πŸ› Springer 🌐 English βš– 306 KB

bounded by the ellipsoid with principal axes of lengths 2a, 2b, and 2c, its surface area, S(a, b, c), is a non-elementary integral unless a = b = c, (E is a ball) or two values of a, b, and c are equal (E is a solid spheroid). This leads to upper and lower estimates for S(a, b, c) in terms of the su