Enviar artigo por via de e-mail Gaussian Approximation Numbers and Metric Entropy
- Autores: Kühn T.1, Linde W.2
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Afiliações:
- Universität Leipzig
- University of Delaware
- Edição: Volume 238, Nº 4 (2019)
- Páginas: 471-483
- Seção: Article
- URL: https://journals.rcsi.science/1072-3374/article/view/242546
- DOI: https://doi.org/10.1007/s10958-019-04251-8
- ID: 242546
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Resumo
The aim of this paper is to survey properties of Gaussian approximation numbers. We state the basic relations between these numbers and other s-numbers as, e.g., entropy, approximation, or Kolmogorov numbers. Furthermore, we fill a gap and prove new two-sided estimates in the case of operators with values in a K-convex Banach space. In the final section, we apply relations between Gaussian and other s-numbers to the d-dimensional integration operator defined on L2[0, 1]d.
Sobre autores
T. Kühn
Universität Leipzig
Autor responsável pela correspondência
Email: kuehn@math.uni-leipzig.de
Alemanha, Leipzig
W. Linde
University of Delaware
Email: kuehn@math.uni-leipzig.de
Estados Unidos da América, Newark, DE
