Shabozov Mirgand Shabozovich

Publications in Math-Net.Ru

1. On the diameters of some classes of analytic functions in Bergman space
   
   Chebyshevskii Sb., 26:1 (2025),  116–130
2. On the best polynomial approximation of analytical functions in the Bergman space $B_2$
   
   Izv. Vyssh. Uchebn. Zaved. Mat., 2025, no. 4,  90–103
3. On Best Simultaneous Approximation of Analytic Functions in the Weighted Bergman Space
   
   Mat. Zametki, 118:4 (2025),  885–894
4. On simultaneous approximation of certain classes of functions in the Bergman space $B_2$
   
   Izv. Vyssh. Uchebn. Zaved. Mat., 2024, no. 6,  80–88
5. On exact values of widths of classes of functions analytic in a disk
   
   Mat. Tr., 27:4 (2024),  115–140
6. $\mathcal{K}$-Functionals and exact values of $n$-widths for some classes of functions in the Hardy space
   
   Trudy Inst. Mat. i Mekh. UrO RAN, 30:4 (2024),  301–308
7. On mean–square approximation of functions in Bergman space $B_2$ and value of widths of some classes of functions
   
   Ufimsk. Mat. Zh., 16:2 (2024),  67–76
8. On widths of some classes of analytic functions in a circle
   
   Ural Math. J., 10:2 (2024),  121–130
9. Value of $n$-width of some classes of analytic functions in the Bergman space $B_{2}$
   
   Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2024, no. 3,  11–19
10. On the best polynomial approximation of functions in the Hardy space $H_{q,R}, (1\le q\le\infty, R\ge 1)$
    
    Chebyshevskii Sb., 24:1 (2023),  182–193
11. On the Best Simultaneous Approximation in the Bergman Space $B_2$
    
    Mat. Zametki, 114:3 (2023),  435–446
12. On the best simultaneous approximation of functions in the Hardy space
    
    Trudy Inst. Mat. i Mekh. UrO RAN, 29:4 (2023),  283–291
13. Sharp Jackson–Stechkin type inequalities in Hardy space $H_2$ and widths of functional classes
    
    Ufimsk. Mat. Zh., 15:2 (2023),  74–84
14. Mean-squared approximation of some classes of complex variable functions by Fourier series in the weighted Bergman space $B_{2,\gamma}$
    
    Chebyshevskii Sb., 23:1 (2022),  167–182
15. Jackson – Stechkin Inequality and Values of Widths of Some Classes of Functions in $L_2$
    
    Dal'nevost. Mat. Zh., 22:1 (2022),  125–137
16. On the best polynomial approximation in Hardy space
    
    Izv. Vyssh. Uchebn. Zaved. Mat., 2022, no. 11,  110–123
17. Jackson–Stechkin type inequalities between the best joint polynomials approximation and a smoothness characteristic in Bergman space
    
    Vladikavkaz. Mat. Zh., 24:1 (2022),  109–120
18. Some inequalities between the best polynomial approximation and averaged finite-difference norms in space $L_2$
    
    Izv. Vyssh. Uchebn. Zaved. Mat., 2021, no. 10,  78–91
19. Inequalities between Best Polynomial Approximants and Smoothness Characteristics of Functions in $L_2$
    
    Mat. Zametki, 110:3 (2021),  450–458
20. Sharp Inequalities between the Best Root-Mean-Square Approximations of Analytic Functions in the Disk and Some Smoothness Characteristics in the Bergman Space
    
    Mat. Zametki, 110:2 (2021),  266–281
21. On the best simultaneous polynomial approximation of functions and their derivatives in Hardy spaces
    
    Trudy Inst. Mat. i Mekh. UrO RAN, 27:4 (2021),  239–254
22. Best quadrature formulas calculation of curvilinear integrals for some classes of functions and currves
    
    Chebyshevskii Sb., 21:3 (2020),  250–261
23. Approximation of functions of a complex variable by Fourier sums in orthogonal systems in $L_2$
    
    Izv. Vyssh. Uchebn. Zaved. Mat., 2020, no. 6,  65–72
24. On the best approximation in the mean of functions of a complex variable by Fourier series in the Bergman space
    
    Izv. Vyssh. Uchebn. Zaved. Mat., 2020, no. 2,  74–92
25. Upper estimates for best mean-square approximations for some classes of bivariate functions by Fourier-Chebyshev sums
    
    Trudy Inst. Mat. i Mekh. UrO RAN, 26:4 (2020),  268–278
26. Some problems of approximation of periodic functions by trigonometric polynomials in $L_2$
    
    Chebyshevskii Sb., 20:4 (2019),  385–398
27. About Kolmogorov type of inequalities for periodic functions of two variables in $L_2$
    
    Chebyshevskii Sb., 20:2 (2019),  348–365
28. Best linear approximation methods for some classes of analytic functions on the unit disk
    
    Sibirsk. Mat. Zh., 60:6 (2019),  1414–1423
29. Sharp inequalities of Jackson-Stechkin type for periodic functions in $L_2$ differentiable in the Weyl sense
    
    Trudy Inst. Mat. i Mekh. UrO RAN, 25:4 (2019),  255–264
30. Mean-square approximation of functions of a complex variable by Fourier sums in orthogonal systems
    
    Trudy Inst. Mat. i Mekh. UrO RAN, 25:2 (2019),  258–272
31. Upper Bounds for the Approximation of Certain Classes of Functions of a Complex Variable by Fourier Series in the Space $L_2$ and $n$-Widths
    
    Mat. Zametki, 103:4 (2018),  617–631
32. On Kolmogorov type inequalities in the Bergman space for functions of two variables
    
    Trudy Inst. Mat. i Mekh. UrO RAN, 24:4 (2018),  270–282
33. Mean-square approximation of complex variable functions by Fourier series in the weighted Bergman space
    
    Vladikavkaz. Mat. Zh., 20:1 (2018),  86–97
34. On simultaneous approximation of functions of two variables and their derivatives by bilinear interpolation splines
    
    Sib. J. Pure and Appl. Math., 18:2 (2018),  60–72
35. Sharp Estimates of the Error of Interpolation by Bilinear Splines for Some Classes of Functions
    
    Mat. Zametki, 102:3 (2017),  462–469
36. Best approximation methods and widths for some classes of functions in $H_{q,\rho}$, $1\le q\le\infty$, $0<\rho\le1$
    
    Sibirsk. Mat. Zh., 57:2 (2016),  469–478
37. The Jackson–Stechkin inequality with nonclassical modulus of continuity
    
    Trudy Inst. Mat. i Mekh. UrO RAN, 22:4 (2016),  311–319
38. Jackson — Stechkin type inequalities with generalized moduli of continuity and widths of some classes of functions
    
    Trudy Inst. Mat. i Mekh. UrO RAN, 21:4 (2015),  292–308
39. 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
40. On an Optimal Quadrature Formula for Classes of Functions Given by Modulus of Continuity
    
    Model. Anal. Inform. Sist., 21:3 (2014),  91–105
41. On Best Quadrature Formulas for Evaluating Curvilinear Integrals for Some Classes of Functions and Curves
    
    Mat. Zametki, 96:4 (2014),  637–640
42. Best Polynomial Approximations and the Widths of Function Classes in $L_{2}$
    
    Mat. Zametki, 94:6 (2013),  908–917
43. On the exact values of mean $\nu$-widths of some classes of entire functions
    
    Trudy Inst. Mat. i Mekh. UrO RAN, 18:4 (2012),  315–327
44. Best Polynomial Approximations in $L_2$ of Classes of $2\pi$-Periodic Functions and Exact Values of Their Widths
    
    Mat. Zametki, 90:5 (2011),  764–775
45. Exact constants in Jackson-type inequalities and exact values of the widths of some classes of functions in $L_2$
    
    Sibirsk. Mat. Zh., 52:6 (2011),  1414–1427
46. Widths of Classes of Periodic Differentiable Functions in the Space $L_{2}[0,2\pi]$
    
    Mat. Zametki, 87:4 (2010),  616–623
47. The widths of classes of analytic functions in a disc
    
    Mat. Sb., 201:8 (2010),  3–22
48. Widths of Some Classes of Analytic Functions in the Hardy Space $H_2$
    
    Mat. Zametki, 68:5 (2000),  796–800
49. Exact bounds for simultaneous approximation of functions of two variables and their derivatives by bilinear splines
    
    Mat. Zametki, 59:1 (1996),  142–152