Vakarchuk Sergey Borisovich

Publications in Math-Net.Ru

1. Estimates of the Values of $n$-Widths of Classes of Analytic Functions in the Weight Spaces $H_{2,\gamma}(D)$
   
   Mat. Zametki, 108:6 (2020),  803–822
2. Approximation by classical orthogonal polynomials with weight in spaces $L_{2,\gamma}(a,b)$ and widths of some functional classes
   
   Izv. Vyssh. Uchebn. Zaved. Mat., 2019, no. 12,  37–51
3. On Estimates in $L_2(\mathbb{R})$ of Mean $\nu$-Widths of Classes of Functions Defined via the Generalized Modulus of Continuity of $\omega_{\mathcal{M}}$
   
   Mat. Zametki, 106:2 (2019),  198–211
4. Best Polynomial Approximations and Widths of Classes of Functions in the Space $L_2$
   
   Mat. Zametki, 103:2 (2018),  307–311
5. Inequalities between Best Polynomial Approximations and Some Smoothness Characteristics in the Space $L_2$ and Widths of Classes of Functions
   
   Mat. Zametki, 99:2 (2016),  215–238
6. Estimates for the error of approximation of functions in $L_p^1$ by polynomials and partial sums of series in the Haar and Faber–Schauder systems
   
   Izv. RAN. Ser. Mat., 79:2 (2015),  45–76
7. Inequalities of Kolmogorov's type for derived functions in two variables and application to approximation by an “angle”
   
   Izv. Vyssh. Uchebn. Zaved. Mat., 2015, no. 11,  3–22
8. Generalized Smoothness Characteristics in Jackson-Type Inequalities and Widths of Classes of Functions in $L_2$
   
   Mat. Zametki, 98:4 (2015),  511–529
9. On the best mean square approximations by entire functions of exponential type in $L_2(\mathbb R)$ and mean $\nu$-widths of some functional classes
   
   Izv. Vyssh. Uchebn. Zaved. Mat., 2014, no. 7,  30–48
10. Best Mean-Square Approximations by Entire Functions of Exponential Type and Mean $\nu$-Widths of Classes of Functions on the Line
    
    Mat. Zametki, 96:6 (2014),  827–848
11. Mean Approximation of Functions on the Real Axis by Algebraic Polynomials with Chebyshev–Hermite Weight and Widths of Function Classes
    
    Mat. Zametki, 95:5 (2014),  666–684
12. Jackson–Stechkin Type Inequalities for Special Moduli of Continuity and Widths of Function Classes in the Space $L_2$
    
    Mat. Zametki, 92:4 (2012),  497–514
13. The widths of classes of analytic functions in a disc
    
    Mat. Sb., 201:8 (2010),  3–22
14. A Sharp Inequality of Jackson–Stechkin type in $L_2$ and the Widths of Functional Classes
    
    Mat. Zametki, 86:3 (2009),  328–336
15. Best Linear Approximation Methods for Functions of Taikov Classes in the Hardy spaces $H_{q,\rho}$, $q\ge1$, $0<\rho\le1$
    
    Mat. Zametki, 85:3 (2009),  323–329
16. Jackson-Type Inequalities and Widths of Function Classes in $L_2$
    
    Mat. Zametki, 80:1 (2006),  11–19
17. Estimates for the error of approximation of classes of differentiable functions by Faber–Schauder partial sums
    
    Mat. Sb., 197:3 (2006),  3–14
18. Exact Constants in Jackson-type Inequalities and Exact Values of Widths
    
    Mat. Zametki, 78:5 (2005),  792–796
19. Some problems of the approximation of Faber-Schauder series by partial sums in the metric of the space $\phi(L)$
    
    Izv. Vyssh. Uchebn. Zaved. Mat., 2004, no. 10,  82–85
20. On polinomial approximation of entire transcendental functions
    
    Mat. Fiz. Anal. Geom., 9:4 (2002),  595–603
21. Exact Values of Widths of Classes of Analytic Functions on the Disk and Best Linear Approximation Methods
    
    Mat. Zametki, 72:5 (2002),  665–669
22. $K$-Functionals and Exact Values of n-Widths of Certain Classes in the Spaces $C(2\pi )$ and $L_1(2\pi )$
    
    Mat. Zametki, 71:4 (2002),  522–531
23. On Best Polynomial Approximations in $L_2$
    
    Mat. Zametki, 70:3 (2001),  334–345
24. $K$-functionals and exact values of $n$-widths of some classes in $L_2$
    
    Mat. Zametki, 66:4 (1999),  494–499
25. On the best linear approximation methods and the widths of certain classes of analytic functions
    
    Mat. Zametki, 65:2 (1999),  186–193
26. On the strong asymptotics of the mean $N$-widths of classes of functions that are analytic on the real axis
    
    Izv. Vyssh. Uchebn. Zaved. Mat., 1996, no. 1,  3–6
27. Best linear methods of approximation and widths of classes of analytic functions in a disk
    
    Mat. Zametki, 57:1 (1995),  30–39
28. On the best polynomial approximation in some Banach spaces for functions analytical in the unit disk
    
    Mat. Zametki, 55:4 (1994),  6–14
29. Sharp estimates for the widths of some classes of analytic functions of several complex variables
    
    Izv. Vyssh. Uchebn. Zaved. Mat., 1993, no. 7,  3–6
30. Widths of some classes of entire transcendental functions of several complex variables
    
    Dokl. Akad. Nauk, 323:4 (1992),  619–622
31. Best approximation by generalized polynomials in the space of analytic functions of two complex variables
    
    Izv. Vyssh. Uchebn. Zaved. Mat., 1991, no. 7,  14–25
32. The best polynomial approximation of analytic functions of one and two complex variables
    
    Izv. Vyssh. Uchebn. Zaved. Mat., 1990, no. 11,  3–8
33. Approximations of differentiable functions of several variables
    
    Mat. Zametki, 48:3 (1990),  37–44
34. Interpolation by bilinear splines
    
    Mat. Zametki, 47:5 (1990),  26–30
35. Reconstruction of linear functionals on classes of differentiable functions of two variables from some generalized information
    
    Izv. Vyssh. Uchebn. Zaved. Mat., 1989, no. 2,  11–17
36. Exact constants for the approximation of plane curves by polynomial curves and polygonal lines
    
    Izv. Vyssh. Uchebn. Zaved. Mat., 1988, no. 2,  14–19
37. On approximation of functions of two variables by generalized polynomials
    
    Trudy Mat. Inst. Steklov., 180 (1987),  77–78