EC-tractability of \(\mathbb{L}_p\)-approximation in Korobov spaces with exponential weights

DOI10.1016/j.jat.2019.105309zbMath1429.41032OpenAlexW2981844403WikidataQ115571485 ScholiaQ115571485MaRDI QIDQ2007614

Gui Qiao Xu

Publication date: 22 November 2019

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jat.2019.105309

zbMATH Keywords

Korobov kernelworst case setting\( \mathbb{L}_p\)-approximationEC-tractability

Mathematics Subject Classification ID

Analysis of algorithms and problem complexity (68Q25) Multidimensional problems (41A63) Complexity and performance of numerical algorithms (65Y20)

Related Items (5)

EC-tractability of multivariate approximation in Hermite spaces for the standard information class ⋮ EC-\((t_1,t_2)\)-tractability of approximation in weighted Korobov spaces in the worst case setting ⋮ On the power of standard information for \(\mathbb{L}_2\)-approximation in the average case setting ⋮ A note on EC-tractability of multivariate approximation in weighted Korobov spaces for the standard information class ⋮ A note on Korobov lattice rules for integration of analytic functions

Cites Work

• A note on tractability of multivariate analytic problems
• Approximation in Hermite spaces of smooth functions
• Tractability of multivariate approximation defined over Hilbert spaces with exponential weights
• Tractability of multivariate problems. Volume III: Standard information for operators
• 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.
• Tractability and strong tractability of linear multivariate problems
• Integration in Hermite spaces of analytic functions
• Exponential convergence-tractability of general linear problems in the average case setting
• \(\mathbb{L}_\infty\)-approximation in Korobov spaces with exponential weights
• Average case tractability of a multivariate approximation problem
• Approximation of analytic functions in Korobov spaces
• A new criterion for tractability of multivariate problems
• Exponential convergence and tractability of multivariate integration for Korobov spaces
• Tractability of multivariate analytic problems
• Multivariate integration of infinitely many times differentiable functions in weighted Korobov spaces

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