Multivariate approximation for analytic functions with Gaussian kernels
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Publication:1704602
DOI10.1016/j.jco.2017.11.001zbMath1384.41026OpenAlexW2767507454MaRDI QIDQ1704602
Ian H. Sloan, Henryk Woźniakowski
Publication date: 12 March 2018
Published in: Journal of Complexity (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jco.2017.11.001
Analysis of algorithms and problem complexity (68Q25) Multidimensional problems (41A63) Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces) (46E22)
Related Items (12)
Asymptotic analysis in multivariate average case approximation with Gaussian kernels ⋮ Countable tensor products of Hermite spaces and spaces of Gaussian kernels ⋮ EC-tractability of multivariate approximation in Hermite spaces for the standard information class ⋮ Asymptotic analysis in multivariate worst case approximation with Gaussian kernels ⋮ Exponential tractability of \(L_2\)-approximation with function values ⋮ Average case tractability of multivariate approximation with Gaussian kernels ⋮ Simple characterizations of exponential tractability for linear multivariate problems ⋮ A note on EC-tractability of multivariate approximation in weighted Korobov spaces for the standard information class ⋮ Exponential tractability of linear weighted tensor product problems in the worst-case setting for arbitrary linear functionals ⋮ Kernel-based interpolation at approximate Fekete points ⋮ Integration in reproducing kernel Hilbert spaces of Gaussian kernels ⋮ A note about EC-\((s, t)\)-weak tractability of multivariate approximation with analytic Korobov kernels
Uses Software
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