Subbotin Yurii Nikolaevich

Publications in Math-Net.Ru

1. Approximation of the derivatives of a function defined on a simplex under Lagrangian interpolation
   
   Mat. Zametki, 115:1 (2024),  3–13
2. Extremal functional $L_p$-interpolation on an arbitrary mesh on the real axis
   
   Mat. Sb., 213:4 (2022),  123–144
3. Approximation of the Derivatives of a Function in Lagrange Interpolation on Low-Dimensional Simplices
   
   Trudy Mat. Inst. Steklova, 312 (2021),  272–281
4. A Method for the Construction of Local Parabolic Splines with Additional Knots
   
   Trudy Inst. Mat. i Mekh. UrO RAN, 25:2 (2019),  205–219
5. A Numerical Method for Boundary Value Problems for a Homogeneous Equation with the Squared Laplace Operator with the Use of Interpolating Wavelets
   
   Trudy Inst. Mat. i Mekh. UrO RAN, 25:2 (2019),  198–204
6. Harmonic Interpolating Wavelets in a Ring
   
   Trudy Inst. Mat. i Mekh. UrO RAN, 24:4 (2018),  225–234
7. Extremal functional interpolation and splines
   
   Trudy Inst. Mat. i Mekh. UrO RAN, 24:3 (2018),  200–225
8. Uniform approximation of the curvature of smooth planar curves with the use of partial sums of Fourier series
   
   Trudy Inst. Mat. i Mekh. UrO RAN, 23:3 (2017),  253–256
9. A new algorithm for analysis of experimental Mössbauer spectra
   
   Ural Math. J., 3:2 (2017),  33–39
10. Interpolation wavelets in boundary value problems
    
    Trudy Inst. Mat. i Mekh. UrO RAN, 22:4 (2016),  257–268
11. Uniform approximation of curvature of smooth planar curves
    
    Trudy Inst. Mat. i Mekh. UrO RAN, 22:4 (2016),  254–256
12. A solution class of the Euler equation in a torus with solenoidal velocity field. III
    
    Trudy Inst. Mat. i Mekh. UrO RAN, 22:2 (2016),  91–100
13. On the Norms of Favard Kernels
    
    Mat. Zametki, 97:4 (2015),  583–590
14. Uniform approximation of curvature for smooth classes of plane curves
    
    Trudy Inst. Mat. i Mekh. UrO RAN, 21:4 (2015),  273–276
15. A solution class of the Euler equation in a torus with solenoidal velocity field. II
    
    Trudy Inst. Mat. i Mekh. UrO RAN, 21:4 (2015),  102–108
16. One-sided widths of classes of smooth functions
    
    Ural Math. J., 1:1 (2015),  83–86
17. A solution class of the Euler equation in a torus with solenoidal velocity field
    
    Trudy Inst. Mat. i Mekh. UrO RAN, 20:4 (2014),  60–70
18. 50 years to Schoenberg's problem on the convergence of spline interpolation
    
    Trudy Inst. Mat. i Mekh. UrO RAN, 20:1 (2014),  52–67
19. Description of a helical motion of an incompressible nonviscous fluid
    
    Trudy Inst. Mat. i Mekh. UrO RAN, 20:1 (2014),  43–51
20. Some solutions of continuum equations for an incompressible viscous fluid
    
    Trudy Inst. Mat. i Mekh. UrO RAN, 19:4 (2013),  48–63
21. On the Relative Widths of Ellipsoids in Hilbert Space
    
    Mat. Zametki, 91:3 (2012),  473–476
22. One-sided widths of classes of smooth functions
    
    Trudy Inst. Mat. i Mekh. UrO RAN, 18:4 (2012),  267–270
23. On the mechanics of helical flows in an ideal incompressible viscous continuous medium
    
    Trudy Inst. Mat. i Mekh. UrO RAN, 18:4 (2012),  120–134
24. Statement and solution of a boundary value problem in the class of planar-helical vector fields
    
    Trudy Inst. Mat. i Mekh. UrO RAN, 18:1 (2012),  123–138
25. Exposition of the lectures by S. B. Stechkin on approximation theory
    
    Eurasian Math. J., 2:4 (2011),  5–155
26. The Poisson problem in a domain with a cut
    
    Mat. Tr., 14:2 (2011),  189–205
27. On relative widths of classes of differentiable functions. III
    
    Trudy Inst. Mat. i Mekh. UrO RAN, 17:3 (2011),  300–302
28. Harmonic wavelets in boundary value problems for harmonic and biharmonic functions
    
    Trudy Inst. Mat. i Mekh. UrO RAN, 16:4 (2010),  281–296
29. The class of solenoidal planar-helical vector fields
    
    Trudy Inst. Mat. i Mekh. UrO RAN, 16:4 (2010),  128–143
30. On the construction of potential and transverse vortex vector fields with lines of zero curvature
    
    Trudy Inst. Mat. i Mekh. UrO RAN, 16:4 (2010),  117–127
31. Solution of a first-kind convolution integral equation with a special kernel and a right-hand side
    
    Trudy Inst. Mat. i Mekh. UrO RAN, 16:4 (2010),  74–78
32. Sharpening of the estimates for relative widths of classes of differentiable functions
    
    Trudy Mat. Inst. Steklova, 269 (2010),  242–253
33. The full class ofsmooth axially symmetric longitudinal-vortex unit vector fields
    
    Izv. Saratov Univ. Math. Mech. Inform., 9:4(1) (2009),  11–23
34. Form-preserving exponential approximation
    
    Izv. Vyssh. Uchebn. Zaved. Mat., 2009, no. 11,  53–60
35. On the Equality of Kolmogorov and Relative Widths of Classes of Differentiable Functions
    
    Mat. Zametki, 86:3 (2009),  456–465
36. The Dirichlet problem in a domain with a slit
    
    Trudy Inst. Mat. i Mekh. UrO RAN, 15:1 (2009),  208–221
37. Transformation that changes the geometric structure of a vector field
    
    Trudy Inst. Mat. i Mekh. UrO RAN, 15:1 (2009),  111–121
38. Interpolating-orthogonal wavelet systems
    
    Trudy Inst. Mat. i Mekh. UrO RAN, 14:3 (2008),  153–161
39. Longitudinal-vortex unit vector fields from the class of axially symmetric fields
    
    Trudy Inst. Mat. i Mekh. UrO RAN, 14:3 (2008),  92–98
40. On the construction of unit longitudinal-vortex vector fields with the use of smooth mappings
    
    Trudy Inst. Mat. i Mekh. UrO RAN, 14:3 (2008),  82–91
41. Approximations by polynomial and trigonometric splines of third order preserving some properties of approximated functions
    
    Trudy Inst. Mat. i Mekh. UrO RAN, 13:2 (2007),  156–166
42. Construction of wavelets in $W_2^m(\mathbb R)$ and their approximative properties in different metrics
    
    Trudy Inst. Mat. i Mekh. UrO RAN, 11:2 (2005),  131–167
43. A new cubic element in the FEM
    
    Trudy Inst. Mat. i Mekh. UrO RAN, 11:2 (2005),  120–130
44. On Relative Widths of Classes of Differentiable Functions
    
    Trudy Mat. Inst. Steklova, 248 (2005),  250–261
45. Norms on $L$ of Periodic Interpolation Splines with Equidistant Nodes
    
    Mat. Zametki, 74:1 (2003),  108–117
46. Approximation of Derivatives by the Derivatives of Interpolating Splines
    
    Trudy Mat. Inst. Steklova, 243 (2003),  320–333
47. Harmonic wavelets and asymptotics of Dirichlet problem solution in circle with small perforation
    
    Matem. Mod., 14:5 (2002),  17–30
48. Relative widths of classes of differentiable functions in the $L^2$ metric
    
    Uspekhi Mat. Nauk, 56:4(340) (2001),  159–160
49. Wavelets which are orthonormal with respect to an inner product in the Sobolev space $W_2^m$ of periodic functions
    
    Trudy Inst. Mat. i Mekh. UrO RAN, 7:1 (2001),  217–230
50. Splines and relative widths of classes of differentiable functions
    
    Trudy Inst. Mat. i Mekh. UrO RAN, 7:1 (2001),  208–216
51. Wavelets in spaces of harmonic functions
    
    Izv. RAN. Ser. Mat., 64:1 (2000),  145–174
52. Asymptotic behaviour of the Lebesgue constants of periodic interpolation splines with equidistant nodes
    
    Mat. Sb., 191:8 (2000),  131–140
53. Exact values of relative widths of classes of differentiable functions
    
    Mat. Zametki, 65:6 (1999),  871–879
54. B-spline in the finite element method
    
    Zh. Vychisl. Mat. Mat. Fiz., 38:1 (1998),  15–24
55. Variations on a spline theme
    
    Fundam. Prikl. Mat., 3:4 (1997),  1043–1058
56. Extremal $L_p$ interpolation in the mean with intersecting averaging intervals
    
    Izv. RAN. Ser. Mat., 61:1 (1997),  177–198
57. Wavelets Bases in Spaces of Analytic Functions
    
    Trudy Mat. Inst. Steklova, 219 (1997),  340–355
58. Extremal functional interpolation in the mean with least value of the $n$-th derivative for large averaging intervals
    
    Mat. Zametki, 59:1 (1996),  114–132
59. Almost orthogonalization in the finite element method
    
    Zh. Vychisl. Mat. Mat. Fiz., 36:3 (1996),  101–108
60. Inheritance of monotonicity and convexity in local approximations
    
    Zh. Vychisl. Mat. Mat. Fiz., 33:7 (1993),  996–1003
61. Dependence of the estimates of approximation by interpolating polynomials of 5-th degree upon geometric properties of triangle
    
    Trudy Inst. Mat. i Mekh. UrO RAN, 2 (1992),  110–119
62. Error of the approximation by interpolation polynomials of small degrees on $n$-simplices
    
    Mat. Zametki, 48:4 (1990),  88–99
63. Markov inequalities for polynomials on triangles
    
    Mat. Zametki, 46:2 (1989),  76–82
64. The dependence of estimates of a multidimensional piecewise-polynomial approximation on the geometric characteristics of a triangulation
    
    Trudy Mat. Inst. Steklov., 189 (1989),  117–137
65. Norms of interpolational, splines of odd degree in the spaces $W_2^k$
    
    Mat. Zametki, 44:6 (1988),  843–849
66. The error in multidimensional piecewise polynomial approximation
    
    Trudy Mat. Inst. Steklov., 180 (1987),  208–209
67. Multiple interpolation splines of degree $2k+1$ and defect $k$
    
    Trudy Mat. Inst. Steklov., 164 (1983),  75–99
68. The Lebesgue constants of certain $m$-dimensional interpolation polynomials
    
    Mat. Sb. (N.S.), 118(160):4(8) (1982),  557–566
69. One-sided spline approximation with additional restrictions, and the reconstruction of functions and derivatives
    
    Mat. Zametki, 28:2 (1980),  223–238
70. Extremal problems of the theory of approximation of functions with incomplete information
    
    Trudy Mat. Inst. Steklov., 145 (1980),  152–168
71. Extremal problems of functional interpolation, and mean interpolation splines
    
    Trudy Mat. Inst. Steklov., 138 (1975),  118–173
72. Extremal functional interpolation and splines
    
    Dokl. Akad. Nauk SSSR, 214:1 (1974),  56–58
73. Extremal functional interpolation and approximation by splines
    
    Mat. Zametki, 16:5 (1974),  843–854
74. Approximation by splines and smooth bases in $C(0, 2\pi)$
    
    Mat. Zametki, 12:1 (1972),  43–51
75. A relation between spline approximation and the problem of the approximation of one class by another
    
    Mat. Zametki, 9:5 (1971),  501–510
76. Approximation by spline functions, and estimates of widths
    
    Trudy Mat. Inst. Steklov., 109 (1971),  35–60
77. Approximation of functions of class $W^kH_\omega^p$ by splines of order $m$
    
    Dokl. Akad. Nauk SSSR, 195:5 (1970),  1039–1041
78. Linear method for the approximation of differentiable functions
    
    Mat. Zametki, 7:4 (1970),  423–430
79. Diameter of class $W^rL$ in $L(0,2\pi)$ and spline function approximation
    
    Mat. Zametki, 7:1 (1970),  43–52
80. Order of the best spline approximations of some classes of functions
    
    Mat. Zametki, 7:1 (1970),  31–42
81. Best approximation of a differentiation operator in $L_2$-space
    
    Mat. Zametki, 3:2 (1968),  157–164
82. The best approximation of a class of functions by another class
    
    Mat. Zametki, 2:5 (1967),  495–504
83. Piecewise-polynomial (spline) interpolation
    
    Mat. Zametki, 1:1 (1967),  63–70
84. Functional interpolation in the mean with smallest $n$ derivative
    
    Trudy Mat. Inst. Steklov., 88 (1967),  30–60
85. On the connection between finite differences and corresponding derivatives
    
    Trudy Mat. Inst. Steklov., 78 (1965),  24–42


86. Ivan Ivanovich Eremin
    
    Trudy Inst. Mat. i Mekh. UrO RAN, 20:2 (2014),  5–12
87. To the 75th anniversary of academician of Russian Academy of Sciences Yu. S. Osipov
    
    Trudy Inst. Mat. i Mekh. UrO RAN, 17:2 (2011),  5–6
88. Letter to the Editor
    
    Mat. Zametki, 87:3 (2010),  480
89. International conference “Approximation theory” (Moscow, 23–26 august 2010)
    
    Trudy Inst. Mat. i Mekh. UrO RAN, 16:4 (2010),  314–315
90. On the collaboration of Siberian and Ural mathematicians
    
    Sib. Èlektron. Mat. Izv., 4 (2007),  22–27
91. Sergei Borisovich Stechkin (obituary)
    
    Uspekhi Mat. Nauk, 51:6(312) (1996),  3–10
92. S. B. Stechkin and approximation theory
    
    Trudy Inst. Mat. i Mekh. UrO RAN, 4 (1996),  3–16
93. Proceedings of the Conference on Constructive Theory of Functions (Approximation Theory), August 24 – September 3, 1969 (review)
    
    Uspekhi Mat. Nauk, 28:3(171) (1973),  247–248