New Preasymptotic Estimates for Approximation of Periodic Sobolev Functions

DOI10.1007/978-3-030-38230-8_7zbMath1461.46030OpenAlexW3016021445MaRDI QIDQ5118787

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Publication date: 27 August 2020

Published in: 2018 MATRIX Annals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-030-38230-8_7

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Riesz operators; eigenvalue distributions; approximation numbers, (s)-numbers, Kolmogorov numbers, entropy numbers, etc. of operators (47B06) Multidimensional problems (41A63)

Related Items (5)

Approximation in periodic Gevrey spaces ⋮ A Note on Sampling Recovery of Multivariate Functions in the Uniform Norm ⋮ Best \(n\)-term approximation of diagonal operators and application to function spaces with mixed smoothness ⋮ Worst-case recovery guarantees for least squares approximation using random samples ⋮ How anisotropic mixed smoothness affects the decay of singular numbers for Sobolev embeddings

Cites Work

• Optimal approximation of multivariate periodic Sobolev functions in the sup-norm
• Notes on \((s,t)\)-weak tractability: a refined classification of problems with (sub)exponential information complexity
• Approximation of mixed order Sobolev functions on the \(d\)-torus: asymptotics, preasymptotics, and \(d\)-dependence
• Analysis II. Convex analysis and approximation theory. Transl. from the Russian by D. Newton
• Approximation numbers of Sobolev and Gevrey type embeddings on the sphere and on the ball -- preasymptotics, asymptotics, and tractability
• Eigenvalue distribution of compact operators
• Approximation numbers of Sobolev embeddings-sharp constants and tractability
• Counting Via Entropy: New Preasymptotics for the Approximation Numbers of Sobolev Embeddings
• Volumes of Generalized Unit Balls
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