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Widths and distributions of values of the approximation functional on the Sobolev spaces with measure

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Publication:1357537
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zbMath0872.41010MaRDI QIDQ1357537

Vitaly Maiorov

Publication date: 11 September 1997

Published in: Constructive Approximation (Search for Journal in Brave)


zbMATH Keywords

Gaussian measureSobolev spaces with measuredistribution of values of approximation functionalwidths of classes


Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Trigonometric approximation (42A10) Approximation by arbitrary nonlinear expressions; widths and entropy (41A46) Probabilistic methods for one variable harmonic analysis (42A61) Approximation by arbitrary linear expressions (41A45)


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The optimal free knot spline approximation of stochastic differential equations with additive noise, A Milstein-based free knot spline approximation for stochastic differential equations, Free-knot spline approximation of stochastic processes, Linear average and stochastic \(n\)-widths of Besov embeddings on Lipschitz domains



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