On optimal random nets (Q2365849)
From MaRDI portal
scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On optimal random nets |
scientific article |
Statements
On optimal random nets (English)
0 references
29 June 1993
0 references
This paper is concerned with the study of the so-called entropy numbers for linear operators acting between real Banach spaces. The author proposes the respective counterparts of the entropy numbers in the average and Monte Carlo settings and obtains their behaviour for Sobolev embeddings. As a consequence the author improves his previous estimates for average Kolmogorov numbers [ibid. 7, No. 3, 261-281 (1991; Zbl 0735.65004)], showing that the logarithmic factor is superfluous.
0 references
optimal random nets
0 references
randomized settings
0 references
degree of compactness
0 references
efficiency and optimality of numerical algorithms
0 references
Monte Carlo settings
0 references
entropy numbers
0 references
Banach spaces
0 references
Sobolev embeddings
0 references
Kolmogorov numbers
0 references
