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

DOI10.1007/s43034-022-00248-8OpenAlexW4318315105MaRDI QIDQ2681437

Xue-Hua Li, Yu-Qi Liu, Hu-An Li

Publication date: 3 February 2023

Published in: Annals of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s43034-022-00248-8

zbMATH Keywords

Sobolev spaceGaussian measureaverage width

Mathematics Subject Classification ID

Multidimensional problems (41A63) Approximation by arbitrary nonlinear expressions; widths and entropy (41A46) Probabilistic methods for one variable harmonic analysis (42A61)

Cites Work

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• Probabilistic and average linear widths of Sobolev space with Gaussian measure
• Probabilistic and average linear widths of weighted Sobolev spaces on the ball equipped with a Gaussian measure
• Linear widths of a multivariate function space equipped with a Gaussian measure
• Gel'fand-\(N\)-width in probabilistic setting
• Über die beste Annäherung von Funktionen einer gegebenen Funktionenklasse
• DIAMETERS OF SETS IN NORMED LINEAR SPACES AND THE APPROXIMATION OF FUNCTIONS BY TRIGONOMETRIC POLYNOMIALS

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