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On the Best Simultaneous Approximation in the Bergman Space.
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- Mathematical Notes, 2023, v. 114, n. 3/4, p. 377, doi. 10.1134/S0001434623090080
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Inequalities between Best Polynomial Approximants and Smoothness Characteristics of Functions in.
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- Mathematical Notes, 2021, v. 110, n. 3/4, p. 432, doi. 10.1134/S000143462109011X
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Sharp Inequalities between the Best Root-Mean-Square Approximations of Analytic Functions in the Disk and Some Smoothness Characteristics in the Bergman Space.
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- Mathematical Notes, 2021, v. 110, n. 1/2, p. 248, doi. 10.1134/S0001434621070269
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Mean-Square "Angle" Approximation in the L<sub>2</sub> Metric and the Values of Quasiwidths for Some Classes of Functions.
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- Ukrainian Mathematical Journal, 2020, v. 72, n. 6, p. 990, doi. 10.1007/s11253-020-01837-3
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Best Linear Approximation Methods for Some Classes of Analytic Functions on the Unit Disk.
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- Siberian Mathematical Journal, 2019, v. 60, n. 6, p. 1101, doi. 10.1134/S0037446619060181
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Upper Bounds for the Approximation of Certain Classes of Functions of a Complex Variable by Fourier Series in the Space <italic>L</italic><sub>2</sub> and <italic>n</italic>-Widths.
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- Mathematical Notes, 2018, v. 103, n. 3/4, p. 656, doi. 10.1134/S0001434618030343
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Sharp estimates of the error of interpolation by bilinear splines for some classes of functions.
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- Mathematical Notes, 2017, v. 102, n. 3/4, p. 417, doi. 10.1134/S0001434617090115
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Best approximation methods and widths for some classes of functions in H, 1 ≤ q ≤ ∞, 0 < ρ ≤ 1.
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- Siberian Mathematical Journal, 2016, v. 57, n. 2, p. 369, doi. 10.1134/S0037446616020191
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Best quadrature formulas for evaluating curvilinear integrals for some classes of functions and curves.
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- Mathematical Notes, 2014, v. 96, n. 3/4, p. 613, doi. 10.1134/S0001434614090387
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Best polynomial approximations and the widths of function classes in L.
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- Mathematical Notes, 2013, v. 94, n. 5/6, p. 930, doi. 10.1134/S0001434613110291
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Sharp Jackson-Stechkin type inequalities for periodic functions in L and widths of function classes.
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- Doklady Mathematics, 2013, v. 88, n. 1, p. 478, doi. 10.1134/S106456241304039X
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The best linear methods and values of widths for some classes of analytic functions in the Bergman weight space.
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- Doklady Mathematics, 2013, v. 87, n. 3, p. 338, doi. 10.1134/S1064562413030241
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- Article
Exact Jackson-Stechkin-type inequalities for 2π-periodic functions in L and widths of some classes of functions.
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- Ukrainian Mathematical Journal, 2012, v. 63, n. 10, p. 1633, doi. 10.1007/s11253-012-0603-7
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Best polynomial approximations in L of classes of 2 π-periodic functions and exact values of their widths.
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- Mathematical Notes, 2011, v. 90, n. 5/6, p. 748, doi. 10.1134/S0001434611110125
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Exact constants in Jackson-type inequalities and exact values of the widths of some classes of functions in L.
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- Siberian Mathematical Journal, 2011, v. 52, n. 6, p. 1124, doi. 10.1134/S0037446611060176
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Inequalities between the best approximations and homogenizations of moduli of continuity in the space L.
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- Doklady Mathematics, 2010, v. 82, n. 3, p. 892, doi. 10.1134/S1064562410060141
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On widths of classes of analytic functions on the disk in weight banach spaces.
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- Doklady Mathematics, 2010, v. 81, n. 3, p. 426, doi. 10.1134/S1064562410030245
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Widths of classes of periodic differentiable functions in the space L<sub>2</sub>[0, 2π].
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- Mathematical Notes, 2010, v. 87, n. 3/4, p. 575, doi. 10.1134/S0001434610030351
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On exact values of quasiwidths for some classes of differentiable periodic functions of two variables.
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- Ukrainian Mathematical Journal, 2009, v. 61, n. 6, p. 1013, doi. 10.1007/s11253-009-0251-8
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- Article