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- W2949812323 abstract "Let $K$ be a convex body in ${bf R}^n$ and $B$ be the Euclidean unit ball in ${bf R}^n$. We show that $$mbox{lim}_{trightarrow 0} frac{|K| -|K_t|}{|B| - |B_t|}= frac{as(K)}{as(B)},$$ where $as(K)$ respectively $as(B)$ is the affine surface area of $K$ respectively $B$ and ${K_t}_{tgeq 0}$, ${B_t}_{tgeq 0}$ are general families of convex bodies constructed from $K$, $B$ satifying certain conditions. As a corollary we get results obtained in [M-W], [Schm],[S-W] and[W]." @default.
- W2949812323 created "2019-06-27" @default.
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- W2949812323 date "1997-06-30" @default.
- W2949812323 modified "2023-09-27" @default.
- W2949812323 title "A general geometric construction for affine surface area" @default.
- W2949812323 hasPublicationYear "1997" @default.
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