Chernykh Nikolai Ivanovich

Publications in Math-Net.Ru

1. Reconstruction of a Function Analytic in a Disk from the Boundary Values of Its Real Part Using Interpolation Wavelets
   
   Trudy Inst. Mat. i Mekh. UrO RAN, 29:2 (2023),  287–293
2. Periodic wavelets on a multidimensional sphere and their application for function approximation
   
   Trudy Inst. Mat. i Mekh. UrO RAN, 26:4 (2020),  255–267
3. 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
4. Interpolating wavelets on the sphere
   
   Ural Math. J., 5:2 (2019),  3–12
5. Harmonic Interpolating Wavelets in a Ring
   
   Trudy Inst. Mat. i Mekh. UrO RAN, 24:4 (2018),  225–234
6. 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
7. New method of reflector surface shaping to produce a prescribed contour beam
   
   Ural Math. J., 3:2 (2017),  143–151
8. A new algorithm for analysis of experimental Mössbauer spectra
   
   Ural Math. J., 3:2 (2017),  33–39
9. Interpolation wavelets in boundary value problems
   
   Trudy Inst. Mat. i Mekh. UrO RAN, 22:4 (2016),  257–268
10. 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
11. 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
12. 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
13. Construction of orthogonal multiwavelet bases
    
    Trudy Inst. Mat. i Mekh. UrO RAN, 20:1 (2014),  221–230
14. Description of a helical motion of an incompressible nonviscous fluid
    
    Trudy Inst. Mat. i Mekh. UrO RAN, 20:1 (2014),  43–51
15. Some solutions of continuum equations for an incompressible viscous fluid
    
    Trudy Inst. Mat. i Mekh. UrO RAN, 19:4 (2013),  48–63
16. 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
17. Synthesis of electromagnetic field on an antenna array, I
    
    Trudy Inst. Mat. i Mekh. UrO RAN, 18:4 (2012),  104–109
18. 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
19. Exposition of the lectures by S. B. Stechkin on approximation theory
    
    Eurasian Math. J., 2:4 (2011),  5–155
20. The Poisson problem in a domain with a cut
    
    Mat. Tr., 14:2 (2011),  189–205
21. Calculation of the form of the antenna reflector generating the principal ray of given geometrical configuration
    
    Avtomat. i Telemekh., 2010, no. 3,  34–45
22. Harmonic wavelets in boundary value problems for harmonic and biharmonic functions
    
    Trudy Inst. Mat. i Mekh. UrO RAN, 16:4 (2010),  281–296
23. The class of solenoidal planar-helical vector fields
    
    Trudy Inst. Mat. i Mekh. UrO RAN, 16:4 (2010),  128–143
24. 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
25. 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
26. The full class ofsmooth axially symmetric longitudinal-vortex unit vector fields
    
    Izv. Saratov Univ. Math. Mech. Inform., 9:4(1) (2009),  11–23
27. The Dirichlet problem in a domain with a slit
    
    Trudy Inst. Mat. i Mekh. UrO RAN, 15:1 (2009),  208–221
28. Transformation that changes the geometric structure of a vector field
    
    Trudy Inst. Mat. i Mekh. UrO RAN, 15:1 (2009),  111–121
29. Interpolating-orthogonal wavelet systems
    
    Trudy Inst. Mat. i Mekh. UrO RAN, 14:3 (2008),  153–161
30. Longitudinal-vortex unit vector fields from the class of axially symmetric fields
    
    Trudy Inst. Mat. i Mekh. UrO RAN, 14:3 (2008),  92–98
31. 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
32. 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
33. Harmonic wavelets and asymptotics of Dirichlet problem solution in circle with small perforation
    
    Mat. Model., 14:5 (2002),  17–30
34. 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
35. Wavelets in spaces of harmonic functions
    
    Izv. RAN. Ser. Mat., 64:1 (2000),  145–174
36. The Jackson–Stechkin inequality in $L^2$ with a trigonometric modulus of continuity
    
    Mat. Zametki, 65:6 (1999),  928–932
37. Wavelets Bases in Spaces of Analytic Functions
    
    Trudy Mat. Inst. Steklova, 219 (1997),  340–355
38. Exzact Jackson inequality in $L_p(0,2\pi)$ $(1\le p<2)$
    
    Trudy Mat. Inst. Steklov., 198 (1992),  232–241
39. Approximation of classes of differentiable functions by splines in weighted spaces
    
    Trudy Mat. Inst. Steklov., 145 (1980),  169–247
40. Approximation by splines with a given density of distribution of the nodes
    
    Trudy Mat. Inst. Steklov., 138 (1975),  174–197
41. Approximation of analytic functions by trigonometric polynomials on an interval that is smaller than the period
    
    Trudy Mat. Inst. Steklov., 109 (1971),  98–117
42. Order of the best spline approximations of some classes of functions
    
    Mat. Zametki, 7:1 (1970),  31–42
43. On the behaviour of the partial sums of trigonometric Fourier series
    
    Uspekhi Mat. Nauk, 23:6(144) (1968),  3–50
44. The best approximation of periodic functions by trigonometric polynomials in $L^2$
    
    Mat. Zametki, 2:5 (1967),  513–522
45. The approximation of functions by polynomials with constraints
    
    Trudy Mat. Inst. Steklov., 88 (1967),  75–130
46. Jackson's inequality in $L_2$
    
    Trudy Mat. Inst. Steklov., 88 (1967),  71–74
47. The approximation of functions by polynomials with constraints
    
    Dokl. Akad. Nauk SSSR, 162:2 (1965),  290–293
48. On some extremal problems for polynomials
    
    Trudy Mat. Inst. Steklov., 78 (1965),  48–89


49. Yurii Nikolaevich Subbotin (A Tribute to His Memory)
    
    Trudy Inst. Mat. i Mekh. UrO RAN, 28:4 (2022),  9–16
50. On the 75th birthday of professor Vitalii Vladimirovich Arestov
    
    Ural Math. J., 4:2 (2018),  3–5
51. Yurii Nikolaevich Subbotin (on his 70th birthday)
    
    Uspekhi Mat. Nauk, 62:2(374) (2007),  187–190
52. Sergei Borisovich Stechkin (obituary)
    
    Uspekhi Mat. Nauk, 51:6(312) (1996),  3–10
53. S. B. Stechkin and approximation theory
    
    Trudy Inst. Mat. i Mekh. UrO RAN, 4 (1996),  3–16
54. 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
55. Letter to the editor concerning the communication “A Property of Fourier Series” by A. M. Rubinov
    
    Mat. Zametki, 8:6 (1970),  823–825