Tractability of Multivariate Problems for Standard and Linear Information in the Worst Case Setting: Part II

DOI10.1007/978-3-319-72456-0_42zbMath1405.65023arXiv1708.04102OpenAlexW2286818045MaRDI QIDQ4611835

Erich Novak, Henryk Woźniakowski

Publication date: 22 January 2019

Published in: Contemporary Computational Mathematics - A Celebration of the 80th Birthday of Ian Sloan (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1708.04102

Mathematics Subject Classification ID

Algorithms for approximation of functions (65D15) Multilinear algebra, tensor calculus (15A69)

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On the power of standard information for tractability for \(L_2\)-approximation in the average case setting ⋮ On the power of standard information for tractability for \(L_{\infty}\) approximation of periodic functions in the worst case setting ⋮ Lower bounds for the error of quadrature formulas for Hilbert spaces

Cites Work

• Tractability of multivariate problems for standard and linear information in the worst case setting. I.
• Quasi-polynomial tractability
• Tractability of multivariate problems. Volume III: Standard information for operators
• Linear information versus function evaluations for \(L_2\)-approximation
• Tractability of multivariate problems. Volume I: Linear information
• Tractability of multivariate problems. Volume II: Standard information for functionals.
• Weighted tensor product algorithms for linear multivariate problems
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