V. Temlyakov, “On the entropy numbers of the mixed smoothness function classes”, Journal of Approximation Theory, 2017, том 217, страницы 26

Эта публикация цитируется в следующих 18 статьяx:

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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
F. Dai, V. N. Temlyakov, “Universal Sampling Discretization”, Constr. Approx., 58 (2023), 589–613
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A. Anderson, A. Reznikov, O. Vlasiuk, E. White, “Polarization and covering on sets of low smoothness”, Advances in Mathematics, 410 (2022), 108720
A. S. Romanyuk, S. Ya. Yanchenko, “Kolmogorov Widths of the Nikol'skii–Besov Classes of Periodic Functions of Many Variables in the Space of Quasicontinuous Functions”, Ukr Math J, 74:2 (2022), 251
A. S. Romanyuk, S. Ya. Yanchenko, “Колмогоровські поперечники класів Нікольського – Бєсова періодичних функцій багатьох змінних у просторі квазінеперервних функцій”, Ukr. Mat. Zhurn., 74:2 (2022), 220
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Sebastian Mayer, Tino Ullrich, “Entropy Numbers of Finite Dimensional Mixed-Norm Balls and Function Space Embeddings with Small Mixed Smoothness”, Constr Approx, 53:2 (2021), 249
F. Dai, A. Prymak, A. Shadrin, V. Temlyakov, S. Tikhonov, “Sampling discretization of integral norms”, Constr. Approx., 54:3 (2021), 455–471
F. Dai, A. Prymak, A. Shadrin, V. Temlyakov, S. Tikhonov, “Entropy numbers and Marcinkiewicz-type discretization”, J. Funct. Anal., 281:6 (2021), 109090–25
Ф. Дай, А. Примак, В. Н. Темляков, С. Ю. Тихонов, “Дискретизация интегральной нормы и близкие задачи”, УМН, 74:4 (2019), 3–58 ; F. Dai, A. Prymak, V. N. Temlyakov, S. Yu. Tikhonov, “Integral norm discretization and related problems”, Russian Math. Surveys, 74:4 (2019), 579–630
Kai Wang, Yali Wang, Yinying Zhou, “On the entropy numbers between the anisotropic spaces and the spaces of functions with mixed smoothness”, Int. J. Wavelets Multiresolut Inf. Process., 17:01 (2019), 1850065
A. S. Romanyuk, “Entropy Numbers and Widths for the Nikol'skii–Besov Classes of Functions of Many Variables in the Space L∞”, Anal Math, 45:1 (2019), 133
Kateryna V. Pozharska, “Entropy Numbers of the Nikol'skii—Besov-type Classes of Periodic Functions of many Variables”, J Math Sci, 241:1 (2019), 64
K. V. Pozhars'ka, “Estimates for the Entropy Numbers of the Classes
B
p , θ
Ω
${B}_{p,\theta}^{\varOmega }$ of Periodic Multivariable Functions in the Uniform Metric”, Ukr Math J, 70:9 (2019), 1439
V.N. Temlyakov, “Universal discretization”, J. Complexity, 47 (2018), 97–109