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Shabozov, Mirgand Shabozovich
Statistics Math-Net.Ru
Total publications: 46
Scientific articles: 46
Presentations: 1

Number of views:
This page:4178
Abstract pages:11650
Full texts:4090
References:2035
Academician of Academy of Sciences of Tajikistan
Professor
Doctor of physico-mathematical sciences
Birth date: 26.06.1952
E-mail:
Keywords: approximation.
UDC: 517.5, 517.538.5

Subject:

Approximation function theory.

https://www.mathnet.ru/eng/person18999
List of publications on Google Scholar
https://mathscinet.ams.org/mathscinet/MRAuthorID/159330
https://elibrary.ru/author_items.asp?spin=9315-7401

Publications in Math-Net.Ru Citations
2024
1. M. Sh. Shabozov, A. A. Shabozova, “On simultaneous approximation of certain classes of functions in the Bergman space $B_2$”, Izv. Vyssh. Uchebn. Zaved. Mat., 2024, no. 6,  80–88  mathnet
2. M. Sh. Shabozov, A. A. Shabozova, “On exact values of widths of classes of functions analytic in a disk”, Mat. Tr., 27:4 (2024),  115–140  mathnet
3. M. Sh. Shabozov, R. A. Karimzoda, “$\mathcal{K}$-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  mathnet  elib
4. M. Sh. Shabozov, D. K. Tukhliev, “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  mathnet; Ufa Math. J., 16:2 (2024), 66–75
5. Mirgand Sh. Shabozov, Muqim S. Saidusajnov, “On widths of some classes of analytic functions in a circle”, Ural Math. J., 10:2 (2024),  121–130  mathnet  elib
6. M. Sh. Shabozov, A. A. Shabozova, E. U. Kadamshoev, “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  mathnet  elib; Moscow University Mathematics Bulletin, 79:3 (2024), 112–121
2023
7. M. Sh. Shabozov, G. A. Yusupov, “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  mathnet 1
8. M. Sh. Shabozov, “On the Best Simultaneous Approximation in the Bergman Space $B_2$”, Mat. Zametki, 114:3 (2023),  435–446  mathnet  mathscinet; Math. Notes, 114:3 (2023), 377–386  scopus 6
9. M. Sh. Shabozov, “On the best simultaneous approximation of functions in the Hardy space”, Trudy Inst. Mat. i Mekh. UrO RAN, 29:4 (2023),  283–291  mathnet  elib 3
10. M. Sh. Shabozov, Z. Sh. Malakbozov, “Sharp Jackson–Stechkin type inequalities in Hardy space $H_2$ and widths of functional classes”, Ufimsk. Mat. Zh., 15:2 (2023),  74–84  mathnet; Ufa Math. J., 15:2 (2023), 74–84
2022
11. M. Sh. Shabozov, M. S. Saidusainov, “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  mathnet 3
12. M. Sh. Shabozov, K. K. Palavonov, “Jackson – Stechkin Inequality and Values of Widths of Some Classes of Functions in $L_2$”, Dal'nevost. Mat. Zh., 22:1 (2022),  125–137  mathnet  mathscinet
13. M. Sh. Shabozov, Z. Sh. Malakbozov, “On the best polynomial approximation in Hardy space”, Izv. Vyssh. Uchebn. Zaved. Mat., 2022, no. 11,  110–123  mathnet; Russian Math. (Iz. VUZ), 66:11 (2022), 97–109
14. Kh. M. Khuromonov, M. Sh. Shabozov, “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  mathnet 2
2021
15. M. Sh. Shabozov, M. A. Abdulkhaminov, “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  mathnet; Russian Math. (Iz. VUZ), 65:10 (2021), 69–81
16. M. Sh. Shabozov, “Inequalities between Best Polynomial Approximants and Smoothness Characteristics of Functions in $L_2$”, Mat. Zametki, 110:3 (2021),  450–458  mathnet  elib; Math. Notes, 110:3 (2021), 432–439  isi  scopus 1
17. M. Sh. Shabozov, E. U. Kadamshoev, “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  mathnet  elib; Math. Notes, 110:2 (2021), 248–260  isi  scopus 7
18. M. Sh. Shabozov, G. A. Yusupov, J. J. Zargarov, “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  mathnet  elib 17
2020
19. M. Sh. Shabozov, M. K. Abdukarimzoda, “Best quadrature formulas calculation of curvilinear integrals for some classes of functions and currves”, Chebyshevskii Sb., 21:3 (2020),  250–261  mathnet
20. M. Sh. Shabozov, M. S. Saidusaynov, “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  mathnet; Russian Math. (Iz. VUZ), 64:6 (2020), 56–62  isi  scopus 5
21. M. Sh. Shabozov, Kh. M. Khuromonov, “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  mathnet; Russian Math. (Iz. VUZ), 64:2 (2020), 66–83  isi  scopus 5
22. M. Sh. Shabozov, О. А. Jurakhonov, “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  mathnet  elib
2019
23. M. Sh. Shabozov, “Some problems of approximation of periodic functions by trigonometric polynomials in $L_2$”, Chebyshevskii Sb., 20:4 (2019),  385–398  mathnet 1
24. M. Sh. Shabozov, M. O. Akobirshoev, “About Kolmogorov type of inequalities for periodic functions of two variables in $L_2$”, Chebyshevskii Sb., 20:2 (2019),  348–365  mathnet 2
25. M. Sh. Shabozov, M. R. Langarshoev, “Best linear approximation methods for some classes of analytic functions on the unit disk”, Sibirsk. Mat. Zh., 60:6 (2019),  1414–1423  mathnet  elib; Siberian Math. J., 60:6 (2019), 1101–1108  isi  scopus 4
26. M. Sh. Shabozov, A. A. Shabozova, “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  mathnet  elib 5
27. M. Sh. Shabozov, M. S. Saidusajnov, “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  mathnet  elib 15
2018
28. M. Sh. Shabozov, M. S. Saidusajnov, “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  mathnet  mathscinet  elib; Math. Notes, 103:4 (2018), 656–668  isi  scopus 13
29. M. Sh. Shabozov, V. D. Sainakov, “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  mathnet  elib 2
30. M. Sh. Shabozov, M. S. Saidusaynov, “Mean-square approximation of complex variable functions by Fourier series in the weighted Bergman space”, Vladikavkaz. Mat. Zh., 20:1 (2018),  86–97  mathnet  elib 11
31. M. Sh. Shabozov, U. N. Zevarshoev, “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  mathnet; J. Math. Sci., 246:6 (2020), 800–811
2017
32. M. Sh. Shabozov, S. N. Mekhmonzoda, “Sharp Estimates of the Error of Interpolation by Bilinear Splines for Some Classes of Functions”, Mat. Zametki, 102:3 (2017),  462–469  mathnet  mathscinet  elib; Math. Notes, 102:3 (2017), 417–423  isi  scopus
2016
33. M. Sh. Shabozov, G. A. Yusupov, “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  mathnet  mathscinet  elib; Siberian Math. J., 57:2 (2016), 369–376  isi  scopus 12
34. M. Sh. Shabozov, A. D. Farozova, “The Jackson–Stechkin inequality with nonclassical modulus of continuity”, Trudy Inst. Mat. i Mekh. UrO RAN, 22:4 (2016),  311–319  mathnet  mathscinet  elib 1
2015
35. M. Sh. Shabozov, K.Tukhliev, “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  mathnet  mathscinet  elib 4
2014
36. S. B. Vakarchuk, M. Sh. Shabozov, M. R. Langarshoev, “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  mathnet; Russian Math. (Iz. VUZ), 58:7 (2014), 25–41  scopus 6
37. M. Sh. Shabozov, “On an Optimal Quadrature Formula for Classes of Functions Given by Modulus of Continuity”, Model. Anal. Inform. Sist., 21:3 (2014),  91–105  mathnet 1
38. M. Sh. Shabozov, “On Best Quadrature Formulas for Evaluating Curvilinear Integrals for Some Classes of Functions and Curves”, Mat. Zametki, 96:4 (2014),  637–640  mathnet  mathscinet  zmath  elib; Math. Notes, 96:4 (2014), 613–617  isi  scopus 2
2013
39. M. Sh. Shabozov, K. Tukhliev, “Best Polynomial Approximations and the Widths of Function Classes in $L_{2}$”, Mat. Zametki, 94:6 (2013),  908–917  mathnet  mathscinet  zmath  elib; Math. Notes, 94:6 (2013), 930–937  isi  scopus 6
2012
40. M. Sh. Shabozov, G. A. Yusupov, “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  mathnet  elib 2
2011
41. M. Sh. Shabozov, G. A. Yusupov, “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  mathnet  mathscinet; Math. Notes, 90:5 (2011), 748–757  isi  scopus 32
42. M. Sh. Shabozov, G. A. Yusupov, “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  mathnet  mathscinet; Siberian Math. J., 52:6 (2011), 1124–1136  isi  scopus 15
2010
43. M. Sh. Shabozov, “Widths of Classes of Periodic Differentiable Functions in the Space $L_{2}[0,2\pi]$”, Mat. Zametki, 87:4 (2010),  616–623  mathnet  mathscinet  zmath; Math. Notes, 87:4 (2010), 575–581  isi  scopus 28
44. S. B. Vakarchuk, M. Sh. Shabozov, “The widths of classes of analytic functions in a disc”, Mat. Sb., 201:8 (2010),  3–22  mathnet  mathscinet  zmath  elib; Sb. Math., 201:8 (2010), 1091–1110  isi  elib  scopus 36
2000
45. M. Sh. Shabozov, O. Sh. Shabozov, “Widths of Some Classes of Analytic Functions in the Hardy Space $H_2$”, Mat. Zametki, 68:5 (2000),  796–800  mathnet  mathscinet  zmath; Math. Notes, 68:5 (2000), 675–579  isi 17
1996
46. M. Sh. Shabozov, “Exact bounds for simultaneous approximation of functions of two variables and their derivatives by bilinear splines”, Mat. Zametki, 59:1 (1996),  142–152  mathnet  mathscinet  zmath; Math. Notes, 59:1 (1996), 104–111  isi 6

Presentations in Math-Net.Ru
1. О приближении функций в весовом пространстве Бергмана
M. Sh. Shabozov
International conference on Function Spaces and Approximation Theory dedicated to the 110th anniversary of S. M. Nikol'skii
May 27, 2015 15:20

Organisations
 
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