Probabilistic and average linear widths of Sobolev space with Gaussian measure in space \(S_Q(T)\) (\(1\leq Q\leq \infty\))

DOI10.1016/S0252-9602(15)60017-0zbMath1340.41043OpenAlexW2093981627MaRDI QIDQ902343

N. E. Zubov

Publication date: 15 January 2016

Published in: Acta Mathematica Scientia. Series B. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0252-9602(15)60017-0

zbMATH Keywords

Sobolev spacelinear operatorGaussian measureaverage linear widthprobabilistic linear width

Mathematics Subject Classification ID

Approximation by arbitrary nonlinear expressions; widths and entropy (41A46)

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

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