58 citations to https://www.mathnet.ru/rus/mzm2288
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K. Pozharska, A. Romanyuk, S. Yanchenko, “Найкращі наближення класів періодичних функцій багатьох змінних з обмеженою домінуючою мішаною похідною”, Ukr. Mat. Zhurn., 76:7 (2024), 1007
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Kateryna Pozharska, Anatolii Romanyuk, Serhii Yanchenko, “Best Approximations for Classes of Periodic Functions of Many Variables with Bounded Dominating Mixed Derivative”, Ukr Math J, 2024
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J. Milaré, A.K. Kushpel, S.A. Tozoni, “Estimates of entropy for multiplier operators of systems of orthonormal functions”, Journal of Approximation Theory, 285 (2023), 105837
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Svitlana Hembars'ka, Ihor Romanyuk, Oksana Fedunyk-Yaremchuk, “Characteristics of the linear and nonlinear approximations of the Nikol'skii-Besov-type classes of periodic functions of several variables”, UMB, 20:2 (2023), 161
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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
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Alexander Kushpel, “Lower bounds of cowidths and widths of multiplier operators”, Journal of Complexity, 69 (2022), 101614
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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
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Б. С. Кашин, “Об оценках снизу $m$-членных приближений в метрике дискретного пространства $L_n^0$”, УМН, 76:5(461) (2021), 199–200 ; B. S. Kashin, “Lower bounds for $m$-term approximations in the metric of the discrete space $L_n^0$”, Russian Math. Surveys, 76:5 (2021), 933–935
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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
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Temlyakov V., “on the Entropy Numbers of the Mixed Smoothness Function Classes”, J. Approx. Theory, 217 (2017), 26–56