Tractability of \(\mathbb{L}_2\)-approximation in hybrid function spaces

DOI10.7169/facm/1649zbMath1396.41014arXiv1701.02910OpenAlexW2575645590MaRDI QIDQ1664102

Peter Kritzer, Helene Laimer, Friedrich Pillichshammer

Publication date: 24 August 2018

Published in: Functiones et Approximatio. Commentarii Mathematici (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1701.02910

zbMATH Keywords

multivariate approximationKorobov spacehybrid function spaceWalsh space

Mathematics Subject Classification ID

Multidimensional problems (41A63) Rate of convergence, degree of approximation (41A25) Algorithms for approximation of functions (65D15) Complexity and performance of numerical algorithms (65Y20)

Related Items (1)

Tractability of approximation in the weighted Korobov space in the worst-case setting -- a complete picture

Cites Work

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• Tractability of multivariate problems. Volume III: Standard information for operators
• Spline methods using integration lattices and digital nets
• Tractability of multivariate problems. Volume I: Linear information
• Tractability of multivariate problems. Volume II: Standard information for functionals.
• On the approximation of smooth functions using generalized digital nets
• Tractability of multivariate integration for weighted Korobov classes
• Multivariate integration in weighted Hilbert spaces based on Walsh functions and weighted Sobolev spaces
• Tractability of approximation for weighted Korobov spaces on classical and quantum computers
• Weighted tensor product algorithms for linear multivariate problems
• Approximation of analytic functions in Korobov spaces
• Quasi-Monte Carlo Image Synthesis in a Nutshell
• Tractability of Multivariate Integration in Hybrid Function Spaces
• DISTRIBUTION PROPERTIES OF GENERALIZED VAN DER CORPUT–HALTON SEQUENCES AND THEIR SUBSEQUENCES
• Construction algorithms for polynomial lattice rules for multivariate integration
• Hybrid Function Systems in the Theory of Uniform Distribution of Sequences
• Introduction to Quasi-Monte Carlo Integration and Applications
• High-dimensional integration: The quasi-Monte Carlo way
• Theory of Reproducing Kernels

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