Tractability results for weighted Banach spaces of smooth functions

DOI10.1016/j.jco.2011.03.004zbMath1234.41027OpenAlexW1965424783MaRDI QIDQ657651

Markus Weimar

Publication date: 10 January 2012

Published in: Journal of Complexity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jco.2011.03.004

Mathematics Subject Classification ID

Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65)

Related Items

Tractability of the Fredholm problem of the second kind, Weak and quasi-polynomial tractability of approximation of infinitely differentiable functions, On weak tractability of the Clenshaw-Curtis Smolyak algorithm, Algorithms and complexity for functions on general domains, On weak tractability of the Smolyak algorithm for approximation problems, Sampling numbers of a class of infinitely differentiable functions

Cites Work

• Tractability of multivariate approximation over a weighted unanchored Sobolev space
• Multivariate \(L_{\infty}\) approximation in the worst case setting over reproducing kernel Hilbert spaces
• Tractability of multivariate problems. Volume I: Linear information
• Tractability of multivariate problems. Volume II: Standard information for functionals.
• On the power of standard information for multivariate approximation in the worst case setting
• When are quasi-Monte Carlo algorithms efficient for high dimensional integrals?
• Approximation of infinitely differentiable multivariate functions is intractable
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