A New Upper Bound for Sampling Numbers

Article Properties
Abstract
Cite
Nagel, Nicolas, et al. “A New Upper Bound for Sampling Numbers”. Foundations of Computational Mathematics, vol. 22, no. 2, 2021, pp. 445-68, https://doi.org/10.1007/s10208-021-09504-0.
Nagel, N., Schäfer, M., & Ullrich, T. (2021). A New Upper Bound for Sampling Numbers. Foundations of Computational Mathematics, 22(2), 445-468. https://doi.org/10.1007/s10208-021-09504-0
Nagel, Nicolas, Martin Schäfer, and Tino Ullrich. “A New Upper Bound for Sampling Numbers”. Foundations of Computational Mathematics 22, no. 2 (2021): 445-68. https://doi.org/10.1007/s10208-021-09504-0.
Nagel N, Schäfer M, Ullrich T. A New Upper Bound for Sampling Numbers. Foundations of Computational Mathematics. 2021;22(2):445-68.
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Refrences
Title Journal Journal Categories Citations Publication Date
The Marcinkiewicz-Type Discretization Theorems Constructive Approximation
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39 2018
Exponential frames on unbounded sets Proceedings of the American Mathematical Society
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
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53 2016
Lower bounds for the integration error for multivariate functions with mixed smoothness and optimal Fibonacci cubature for functions on the square Mathematische Nachrichten
  • Science: Mathematics
21 2015
Approximation of Mixed Order Sobolev Functions on the d-Torus: Asymptotics, Preasymptotics, and d-Dependence Constructive Approximation
  • Science: Mathematics
37 2015
B-spline quasi-interpolant representations and sampling recovery of functions with mixed smoothness Journal of Complexity
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
  • Science: Mathematics
  • Technology: Engineering (General). Civil engineering (General)
28 2011
Citations
Title Journal Journal Categories Citations Publication Date
Constructing Embedded Lattice-Based Algorithms for Multivariate Function Approximation with a Composite Number of Points Constructive Approximation
  • Science: Mathematics
2024
Optimal learning Calcolo
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
2024
On the power of standard information for tractability for L∞ approximation of periodic functions in the worst case setting Journal of Complexity
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
  • Science: Mathematics
  • Technology: Engineering (General). Civil engineering (General)
2024
Homogeneous algorithms and solvable problems on cones Journal of Complexity
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
  • Science: Mathematics
  • Technology: Engineering (General). Civil engineering (General)
2024
New Lower Bounds for the Integration of Periodic Functions

Journal of Fourier Analysis and Applications
  • Science: Mathematics
  • Technology: Engineering (General). Civil engineering (General)
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
1 2023
Citations Analysis
The category Science: Mathematics 17 is the most commonly referenced area in studies that cite this article. The first research to cite this article was titled Worst-case Recovery Guarantees for Least Squares Approximation Using Random Samples and was published in 2021. The most recent citation comes from a 2024 study titled Constructing Embedded Lattice-Based Algorithms for Multivariate Function Approximation with a Composite Number of Points. This article reached its peak citation in 2023, with 8 citations. It has been cited in 12 different journals, 16% of which are open access. Among related journals, the Constructive Approximation cited this research the most, with 3 citations. The chart below illustrates the annual citation trends for this article.
Citations used this article by year