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Relative average widths of Sobolev spaces inL2(ℝd)

✍ Scribed by Yongping Liu; Weiwei Xiao


Publisher
Springer
Year
2008
Tongue
English
Weight
202 KB
Volume
34
Category
Article
ISSN
0133-3852

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Probabilistic and average linear widths
✍ Fang Gensun; Ye Peixin 📂 Article 📅 2003 🏛 Elsevier Science 🌐 English ⚖ 155 KB

We determine the exact order of the p-average linear n-widths l ðaÞ n ðW r 2 ; m; L q Þ 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 ðn; dÞ-widths and p-average linear nwidths of the finite-dime