The covering numbers and “ low M ∗ - estimate ” for quasi - convex bodies . ∗
نویسنده
چکیده
This article gives estimates on the covering numbers and diameters of random proportional sections and projections of quasi-convex bodies in R. These results were known for the convex case and played an essential role in the development of the theory. Because duality relations cannot be applied in the quasi-convex setting, new ingredients were introduced that give new understanding for the convex case as well.
منابع مشابه
Covering Numbers and “low M-estimate” for Quasi-convex Bodies
This article gives estimates on covering numbers and diameters of random proportional sections and projections of symmetric quasi-convex bodies in Rn. These results were known for the convex case and played an essential role in development of the theory. Because duality relations can not be applied in the quasiconvex setting, new ingredients were introduced that give new understanding for the c...
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