Gel'fand-\(N\)-width in probabilistic setting

DOI10.1186/s13660-020-02409-6zbMath1503.41021OpenAlexW3029813715MaRDI QIDQ2069451

Lu Sun, Xin Tan, Xingfeng Shao, Ya-Nan Wang, Guang-Gui Chen

Publication date: 20 January 2022

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13660-020-02409-6

zbMATH Keywords

finite-dimensional spaceprobabilistic widthunivariate Sobolev space

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65) Multidimensional problems (41A63) Approximation by arbitrary nonlinear expressions; widths and entropy (41A46)

Related Items (1)

Gel'fand widths of Sobolev classes of functions in the average setting

Cites Work

• Linear \(n\)-widths of diagonal matrices in the average and probabilistic settings
• Probabilistic and average widths of multivariate Sobolev spaces with mixed derivative equipped with the Gaussian measure
• Hardness of comparing two run-length encoded strings
• Gaussian measures in Banach spaces
• Linear widths of function spaces equipped with the Gaussian measure
• Lower bounds for centered and wrap-around \(L_2\)-discrepancies and construction of uniform designs by threshold accepting.
• Linear widths of a multivariate function space equipped with a Gaussian measure
• Probabilistic and average linear widths of Sobolev space with Gaussian measure in \(L_\infty\)-norm
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