Egor Kosov, Vladimir Temlyakov, “Sampling discretization of the uniform norm and applications”, Journal of Mathematical Analysis and Applications, 538:2 (2024), 128431
Frank Filbir, Ralf Hielscher, Thomas Jahn, Tino Ullrich, “Marcinkiewicz–Zygmund inequalities for scattered and random data on the q-sphere”, Applied and Computational Harmonic Analysis, 71 (2024), 101651
I. V. Limonova, Yu. V. Malykhin, V. N. Temlyakov, “One-sided discretization inequalities and sampling recovery”, Russian Math. Surveys, 79:3 (2024), 515–545
Ben Adcock, Simone Brugiapaglia, Nick Dexter, Sebastian Moraga, Handbook of Numerical Analysis, 25, Numerical Analysis Meets Machine Learning, 2024, 1
András Kroó, “On Bernstein-Markov property for multivariate polynomials”, Journal of Mathematical Analysis and Applications, 2024, 129179
F. Dai, V. N. Temlyakov, “Universal Sampling Discretization”, Constr. Approx., 58 (2023), 589–613
B. Kashin, S. Konyagin, V. Temlyakov, “Sampling discretization of the uniform norm”, Constr. Approx., 57 (2023), 663–694
Daniel Freeman, Dorsa Ghoreishi, “Discretizing L norms and frame theory”, Journal of Mathematical Analysis and Applications, 519:2 (2023), 126846
Dhiraj Patel, S. Sivananthan, “Spherical random sampling of localized functions on 𝕊ⁿ⁻¹”, Proc. Amer. Math. Soc., 151:10 (2023), 4485
V. N. Temlyakov, “Sampling discretization error of integral norms for function classes with small smoothness”, J. Approx. Theory, 293 (2023), 105913
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
F. Dai, E. Kosov, V. Temlyakov, “Some improved bounds in sampling discretization of integral norms”, J. Funct. Anal., 285 (2023), 109951
F. Dai, A. Prymak, A. Yu. Shadrin, V. N. Temlyakov, S. Yu. Tikhonov, “On the cardinality of lower sets and universal discretization”, J. Complexity, 76 (2023), 101726
Matthieu Dolbeault, David Krieg, Mario Ullrich, “A sharp upper bound for sampling numbers in L2”, Applied and Computational Harmonic Analysis, 63 (2023), 113
Matthieu Dolbeault, David Krieg, Mario Ullrich, “A Sharp Upper Bound for Sampling Numbers in L2”, SSRN Journal, 2022
F. Dai, V. N. Temlyakov, “Sampling Discretization of Integral Norms and Its Application”, Proc. Steklov Inst. Math., 319 (2022), 97–109
Egor D. Kosov, “Remarks on Sampling Discretization of Integral Norms of Functions”, Proc. Steklov Inst. Math., 319 (2022), 189–199
Min Liu, Zhiqiang Cai, Jingshuang Chen, “Adaptive two-layer ReLU neural network: I. Best least-squares approximation”, Computers & Mathematics with Applications, 113 (2022), 34
I. Limonova, V. Temlyakov, “On sampling discretization in L2”, J. Math. Anal. Appl., 515:2 (2022), 126457–14
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