Vladimir N. Temlyakov, Tino Ullrich, “Approximation of functions with small mixed smoothness in the uniform norm”, Journal of Approximation Theory, 2022, Volume 277, Pages 105718

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Journal of Approximation Theory, 2022, Volume 277, Pages 105718–23
DOI: https://doi.org/10.1016/j.jat.2022.105718 (Mi jath9)

This article is cited in 9 scientific papers (total in 9 papers)

Approximation of functions with small mixed smoothness in the uniform norm

Vladimir N. Temlyakov^abcd, Tino Ullrich^e

^a University of South Carolina, USA
^b Steklov Institute of Mathematics, Russia
^c Lomonosov Moscow State University, Russia
^d Moscow Center for Fundamental and Applied Mathematics, Russia
^e Faculty of Mathematics, 09107 Chemnitz, Germany

Citations (9)

DOI: https://doi.org/10.1016/j.jat.2022.105718

Funding agency	Grant number
Ministry of Education and Science of the Russian Federation	14.W03. 31.0031
Deutsche Forschungsgemeinschaft	Ul-403/2-1
The first author was supported by the Russian Federation Government Grant No 14.W03. 31.0031. T. U. would like to acknowledge support by the DFG Ul-403/2-1. T. U. also thanks Winfried Sickel and Thomas Kuhn for several discussions on the topic. Last but not least T. U. ¨ would like to thank Kevin Matthes who implemented parts of the manuscript in TeX.

Received: 26.01.2021
Revised: 07.12.2021
Accepted: 18.01.2022

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Document Type: Article

Language: English

Linking options:

https://www.mathnet.ru/eng/jath9

This publication is cited in the following 9 articles:

Thomas Jahn, Tino Ullrich, Felix Voigtlaender, “Sampling numbers of smoothness classes via ℓ1-minimization”, Journal of Complexity, 79 (2023), 101786
Anatolii S. Romanyuk, Serhii Ya. Yanchenko, “Estimates for the entropy numbers of the Nikol'skii–Besov classes of functions with mixed smoothness in the space of quasi‐continuous functions”, Mathematische Nachrichten, 296:6 (2023), 2575
Matthieu Dolbeault, David Krieg, Mario Ullrich, “A sharp upper bound for sampling numbers in L2”, Applied and Computational Harmonic Analysis, 63 (2023), 113
Felix Bartel, Martin Schäfer, Tino Ullrich, “Constructive subsampling of finite frames with applications in optimal function recovery”, Applied and Computational Harmonic Analysis, 65 (2023), 209
Felix Bartel, Lutz Kämmerer, Daniel Potts, Tino Ullrich, “On the reconstruction of functions from values at subsampled quadrature points”, Math. Comp., 93:346 (2023), 785
Glenn Byrenheid, Serhii Stasyuk, Tino Ullrich, “Lp-Sampling recovery for non-compact subclasses of L∞”, Front. Appl. Math. Stat., 9 (2023)
Matthieu Dolbeault, David Krieg, Mario Ullrich, “A Sharp Upper Bound for Sampling Numbers in $L_2$ ”, SSRN Journal, 2022
Aicke Hinrichs, David Krieg, Erich Novak, Jan Vybíral, “Lower bounds for integration and recovery in L2”, Journal of Complexity, 72 (2022), 101662
V. K. Nguyen, V. D. Nguyen, “Best n-Term Approximation of Diagonal Operators and Application to Function Spaces with Mixed Smoothness”, Anal Math, 48:4 (2022), 1127

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

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