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Probabilistic and average widths of multivariate Sobolev spaces with mixed derivative equipped with the Gaussian measure

โœ Scribed by Chen Guanggui; Fang Gensun


Book ID
108163750
Publisher
Elsevier Science
Year
2004
Tongue
English
Weight
288 KB
Volume
20
Category
Article
ISSN
0885-064X

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Probabilistic and average linear widths
โœ Fang Gensun; Ye Peixin ๐Ÿ“‚ Article ๐Ÿ“… 2003 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 155 KB

We determine the exact order of the p-average linear n-widths l รฐaรž n รฐW r 2 ; m; L q รž p ; 1pqoN; 0opoN; of the Sobolev space W r 2 equipped with a Gaussian measure m in the L q -norm. Moreover, we also calculate the probabilistic linear รฐn; dรž-widths and p-average linear nwidths of the finite-dime