Sampling and entropy numbers in the uniform norm

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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Publication Details

Journal
Journal of Complexity
Published
2025-09-16
DOI
https://doi.org/10.1016/j.jco.2025.101992
Primary Topic
Mathematical Approximation and Integration
Type
article
Field-Weighted Citation Impact
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article

Sampling and entropy numbers in the uniform norm

Mario Ullrich
Journal of Complexity
Mathematical Approximation and Integration
article

Sampling and entropy numbers in the uniform norm

Mario Ullrich
article en

Abstract

We prove a sharp bound between sampling numbers and entropy numbers in the uniform norm for bounded convex sets of bounded functions.

Journal of ComplexityVol. 92
Johannes Kepler University of Linz (AT)
Openalex Percentile: Top 63%
Mathematical Approximation and Integration
DOIOpen Access PDFOpenAlex
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Sampling and entropy numbers in the uniform norm — Mario Ullrich · Journal of Complexity (2025) | TGRS Research Map | TGRS