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K-Functionals and Extreme Problems of the Approximation Theory for Classes of Analytic Functions in a Circle. II.
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- Ukrainian Mathematical Journal, 2022, v. 74, n. 7, p. 1053, doi. 10.1007/s11253-022-02119-w
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- Article
Widths of the Classes of Functions in the Weight Space L<sub>2,γ</sub>(ℝ), γ = exp(−X<sup>2</sup>).
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- Ukrainian Mathematical Journal, 2022, v. 74, n. 5, p. 698, doi. 10.1007/s11253-022-02095-1
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- Article
K-Functionals and Extreme Problems of the Approximation Theory for Classes of Analytic Functions in a Circle. I.
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- Ukrainian Mathematical Journal, 2022, v. 74, n. 4, p. 532, doi. 10.1007/s11253-022-02081-7
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- Article
Estimates of the Values of -Widths of Classes of Analytic Functions in the Weight Spaces.
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- Mathematical Notes, 2020, v. 108, n. 5/6, p. 775, doi. 10.1134/S0001434620110218
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- Article
On Estimates in L<sub>2</sub>(ℝ) of Mean ν-Widths of Classes of Functions Defined via the Generalized Modulus of Continuity of ω<sub>ℳ</sub>.
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- Mathematical Notes, 2019, v. 106, n. 1/2, p. 191, doi. 10.1134/S000143461907023X
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- Article
Generalized Characteristics of Smoothness and Some Extreme Problems of the Approximation Theory of Functions in the Space L<sub>2</sub>(ℝ). II.
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- Ukrainian Mathematical Journal, 2019, v. 70, n. 10, p. 1550, doi. 10.1007/s11253-019-01590-2
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- Article
Generalized Characteristics of Smoothness and Some Extreme Problems of the Approximation Theory of Functions in the Space L<sub>2</sub>(ℝ). I.
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- Ukrainian Mathematical Journal, 2019, v. 70, n. 9, p. 1345, doi. 10.1007/s11253-019-01585-z
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- Article
Best Polynomial Approximations and Widths of Classes of Functions in the Space <italic>L</italic><sub>2</sub>.
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- Mathematical Notes, 2018, v. 103, n. 1/2, p. 308, doi. 10.1134/S0001434618010327
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- Article
On the Moduli of Continuity and Fractional-Order Derivatives in the Problems of Best Mean-Square Approximation by Entire Functions of the Exponential Type on the Entire Real Axis.
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- Ukrainian Mathematical Journal, 2017, v. 69, n. 5, p. 696, doi. 10.1007/s11253-017-1389-4
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- Article
On the Total Moduli of Continuity of 2π-Periodic Functions of Two Variables in the Space L.
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- Ukrainian Mathematical Journal, 2017, v. 69, n. 3, p. 348, doi. 10.1007/s11253-017-1368-9
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- Article
Jackson-Type Inequalities with Generalized Modulus of Continuity and Exact Values of the n-Widths for the Classes of ( ψ, β)-Differentiable Functions in L . III.
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- Ukrainian Mathematical Journal, 2017, v. 68, n. 10, p. 1495, doi. 10.1007/s11253-017-1309-7
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- Article
Jackson-Type Inequalities with Generalized Modulus of Continuity and Exact Values of the n-Widths for the Classes of ( ψ, β)-Differentiable Functions in L . II.
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- Ukrainian Mathematical Journal, 2017, v. 68, n. 8, p. 1165, doi. 10.1007/s11253-017-1285-y
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- Article
Jackson-Type Inequalities with Generalized Modulus of Continuity and Exact Values of the n-Widths for the Classes of ( ψ, β)-Differentiable Functions in L . I.
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- Ukrainian Mathematical Journal, 2016, v. 68, n. 6, p. 823, doi. 10.1007/s11253-016-1260-z
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Inequalities between best polynomial approximations and some smoothness characteristics in the space L and widths of classes of functions.
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- Mathematical Notes, 2016, v. 99, n. 1/2, p. 222, doi. 10.1134/S0001434616010259
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- Article
Generalized smoothness characteristics in Jackson-type inequalities and widths of classes of functions in L.
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- Mathematical Notes, 2015, v. 98, n. 3/4, p. 572, doi. 10.1134/S0001434615090254
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- Article
On the Best Polynomial Approximations of Entire Transcendental Functions of Many Complex Variables in Some Banach Spaces.
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- Ukrainian Mathematical Journal, 2015, v. 66, n. 12, p. 1793, doi. 10.1007/s11253-015-1052-x
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- Article
Best mean-square approximations by entire functions of exponential type and mean ν-widths of classes of functions on the line.
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- Mathematical Notes, 2014, v. 96, n. 5/6, p. 878, doi. 10.1134/S000143461411025X
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- Article
Jackson-Type Inequalities for the Special Moduli of Continuity on the Entire Real Axis and the Exact Values of Mean ν - Widths for the Classes of Functions in the Space L (ℝ).
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- Ukrainian Mathematical Journal, 2014, v. 66, n. 6, p. 827, doi. 10.1007/s11253-014-0977-9
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Mean approximation of functions on the real axis by algebraic polynomials with Chebyshev-Hermite weight and widths of function classes.
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- Mathematical Notes, 2014, v. 95, n. 5/6, p. 599, doi. 10.1134/S0001434614050046
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On the Best Approximation in the Mean by Algebraic Polynomials with Weight and the Exact Values of Widths for the Classes of Functions.
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- Ukrainian Mathematical Journal, 2014, v. 65, n. 12, p. 1774, doi. 10.1007/s11253-014-0897-8
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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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On the best polynomial approximation in the space L and widths of some classes of functions.
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- Ukrainian Mathematical Journal, 2013, v. 64, n. 8, p. 1168, doi. 10.1007/s11253-013-0707-8
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- Article
Best mean-square approximation of functions defined on the real axis by entire functions of exponential type.
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- Ukrainian Mathematical Journal, 2012, v. 64, n. 5, p. 680, doi. 10.1007/s11253-012-0671-8
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- Article
Jackson-Stechkin type inequalities for special moduli of continuity and widths of function classes in the space L.
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- Mathematical Notes, 2012, v. 92, n. 3/4, p. 458, doi. 10.1134/S0001434612090180
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Inequalities of Kolmogorov type for analytic functions of one and two complex variables and their applications to approximation theory.
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- Ukrainian Mathematical Journal, 2012, v. 63, n. 12, p. 1795, doi. 10.1007/s11253-012-0615-3
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Best mean square approximations by entire functions of finite degree on a straight line and exact values of mean widths of functional classes.
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- Ukrainian Mathematical Journal, 2011, v. 62, n. 8, p. 1199, doi. 10.1007/s11253-011-0424-0
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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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- Article
A sharp inequality of Jackson-Stechkin type in L<sub>2</sub> and the widths of functional classes.
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- Mathematical Notes, 2009, v. 86, n. 3/4, p. 306, doi. 10.1134/S0001434609090028
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Best linear approximation methods for functions of Taikov classes in the Hardy spaces H<sub> q,ρ</sub>, q ≥ 1, 0 < ρ ≤ 1.
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- Mathematical Notes, 2009, v. 85, n. 3/4, p. 322, doi. 10.1134/S000143460903002X
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- Article
On the best polynomial approximation of entire transcendental functions of generalized order.
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- Ukrainian Mathematical Journal, 2008, v. 60, n. 8, p. 1183, doi. 10.1007/s11253-009-0134-z
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- Article
Jackson-type inequalities and widths of function classes in L <sub>2</sub>.
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- Mathematical Notes, 2006, v. 80, n. 1/2, p. 11, doi. 10.1007/s11006-006-0102-y
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On some extremal problems in the theory of approximation of functions in the spaces S <sup> p </sup>, 1 ≤ p < ∞.
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- Ukrainian Mathematical Journal, 2006, v. 58, n. 3, p. 340, doi. 10.1007/s11253-006-0070-0
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Exact Constants in Jackson-type Inequalities and Exact Values of Widths.
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- Mathematical Notes, 2005, v. 78, n. 5/6, p. 735, doi. 10.1007/s11006-005-0176-y
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Some Problems of Simultaneous Approximation of Functions of Two Variables and Their Derivatives by Interpolation Bilinear Splines.
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- Ukrainian Mathematical Journal, 2005, v. 57, n. 2, p. 173, doi. 10.1007/s11253-005-0180-0
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- Article
Best Polynomial Approximations in L<sub>2</sub> and Widths of Some Classes of Functions.
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- Ukrainian Mathematical Journal, 2004, v. 56, n. 11, p. 1738, doi. 10.1007/s11253-005-0148-0
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On some extremal problems of approximation theory in the complex plane.
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- Ukrainian Mathematical Journal, 2004, v. 56, n. 9, p. 1371, doi. 10.1007/s11253-005-0122-x
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- Article
Jackson-type inequalities and exact values of widths of classes of functions in the spaces S<sup>p</sup>, 1 =p<8.
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- Ukrainian Mathematical Journal, 2004, v. 56, n. 5, p. 718, doi. 10.1007/s11253-005-0070-5
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- Article