Linear widths of a multivariate function space equipped with a Gaussian measure

DOI10.1016/j.jat.2004.10.012zbMath1073.41023OpenAlexW2064440937MaRDI QIDQ1763781

Fang Gensun, Chen Guanggui

Publication date: 22 February 2005

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jat.2004.10.012

zbMATH Keywords

average widhs, Sobolev spacesbounded mixed derivative

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Multidimensional problems (41A63) Approximation by arbitrary nonlinear expressions; widths and entropy (41A46)

Related Items (10)

Optimization on class of operator equations in the probabilistic case setting ⋮ Average sampling numbers of multivariate periodic function spaces with a Gaussian measure ⋮ Non-linear approximation of functions with mixed smoothness by sets of finite pseudo-dimension ⋮ Approximation of functions on the sphere on a Sobolev space with a Gaussian measure in the probabilistic case setting ⋮ Gel'fand widths of Sobolev classes of functions in the average setting ⋮ Estimates of probabilistic widths of the diagonal operator of finite-dimensional sets with the Gaussian measure ⋮ Approximation of multivariate periodic functions on the space with a Gaussian measure ⋮ Probabilistic and average widths of Sobolev spaces on compact two-point homogeneous spaces equipped with a Gaussian measure ⋮ Probabilistic and average linear widths of weighted Sobolev spaces on the ball equipped with a Gaussian measure ⋮ Gel'fand-\(N\)-width in probabilistic setting

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