Sampling and entropy numbers in the uniform norm
Mario Ullrich
Abstract
We prove a sharp bound between sampling numbers and entropy numbers in the uniform norm for bounded convex sets of bounded functions.
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Sampling and entropy numbers in the uniform norm
Authors
Abstract
We prove a sharp bound between sampling numbers and entropy numbers in the uniform norm for bounded convex sets of bounded functions.
Paper Structure
This paper contains 2 theorems, 21 equations.
Key Result
Theorem 1
Let $D$ be a set and $F\subset B:=B(D)$ be convex and bounded. Then, for every $n\in\mathbb{N}_0$, we have
Theorems & Definitions (3)
- Theorem 1
- proof : Proof of Theorem \ref{['thm:main']}
- Proposition 2