Dobrovol'skii Nikolai Nikolaevich

Publications in Math-Net.Ru

1. Uniform distribution in the unit cube of weighted nodes of the quadrature formula
   
   Chebyshevskii Sb., 26:3 (2025),  185–219
2. Smooth variety of lattices
   
   Chebyshevskii Sb., 26:1 (2025),  99–115
3. On the number of points of an incomplete lattice in rectangular regions
   
   Chebyshevskii Sb., 25:4 (2024),  138–146
4. Error of approximate integration and interpolation on classes of functions defined by monoids of natural numbers
   
   Chebyshevskii Sb., 25:4 (2024),  74–105
5. Multidimensional Fourier interpolation and complexity of the fast Fourier transform
   
   Chebyshevskii Sb., 25:4 (2024),  42–52
6. Vladimir Grigorievich Chirskii (on the 75-th anniversary of his birth)
   
   Chebyshevskii Sb., 25:3 (2024),  5–10
7. A non-axisymmetric diffraction problem of cylindrical sound waves on an elastic cylinder with an inhomogeneous coating located near the boundary of an elastic half-space
   
   Chebyshevskii Sb., 25:2 (2024),  269–285
8. Dirichlet series of the second kind for irreducible lattices repeated by multiplication
   
   Chebyshevskii Sb., 25:2 (2024),  260–268
9. Continuity of Dirichlet series of $s$-dimensional lattices
   
   Chebyshevskii Sb., 25:2 (2024),  251–259
10. Multidimensional Fourier interpolation and fast Fourier transforms
    
    Dokl. RAN. Math. Inf. Proc. Upr., 517 (2024),  41–43
11. Diffraction of sound waves on an inhomogeneous thick-walled elastic cylindrical shell of finite length
    
    Chebyshevskii Sb., 24:5 (2023),  274–288
12. On the estimation of the error of quadrature formulas with optimal parallelepipedal grids II
    
    Chebyshevskii Sb., 24:4 (2023),  345–353
13. On the accuracy of quadrature formulas with optimal parallelepipedal grids
    
    Chebyshevskii Sb., 24:4 (2023),  335–340
14. On the number of lattice points of linear comparison solutions in rectangular areas
    
    Chebyshevskii Sb., 24:4 (2023),  311–324
15. Smooth variety of lattices
    
    Chebyshevskii Sb., 24:4 (2023),  299–310
16. Universality and antiuniversality theorems for zeta functions of monoids of natural numbers
    
    Chebyshevskii Sb., 24:4 (2023),  104–136
17. Digital-to-analogue conversion of piecewise-linear and periodic functions of wave deformation in metals
    
    Chebyshevskii Sb., 24:3 (2023),  333–340
18. Interpolation for a system of concentric grids
    
    Chebyshevskii Sb., 24:3 (2023),  95–121
19. On Bykovsky estimates for deviations of generalized parallelepipedal grids
    
    Chebyshevskii Sb., 24:2 (2023),  214–227
20. Convergence domains of the zeta function of some monoids of natural numbers
    
    Chebyshevskii Sb., 24:2 (2023),  154–164
21. Application of number-theoretic grids in problems of sound diffraction by elastic bodies
    
    Chebyshevskii Sb., 23:5 (2022),  206–226
22. On the number of lattice points of linear comparison solutions in rectangular areas
    
    Chebyshevskii Sb., 23:5 (2022),  130–144
23. Entropy for some monoids of natural numbers
    
    Chebyshevskii Sb., 23:5 (2022),  57–71
24. Some results for weighted Bernstein–Nikol'skii constants
    
    Chebyshevskii Sb., 23:5 (2022),  45–56
25. On Bykovsky estimates for a measure of the quality of optimal coefficients
    
    Chebyshevskii Sb., 23:4 (2022),  178–187
26. Deviation estimates for rational grids approximating algebraic
    
    Chebyshevskii Sb., 23:4 (2022),  170–177
27. Systems of joint Thue polynomials for quadratic irrationalities
    
    Chebyshevskii Sb., 23:4 (2022),  77–91
28. The inverse problem for a basic monoid of type $q$
    
    Chebyshevskii Sb., 23:4 (2022),  64–76
29. About three-dimensional nets of Smolyak III
    
    Chebyshevskii Sb., 23:3 (2022),  249–254
30. Monoid of products of zeta functions of monoids of natural numbers
    
    Chebyshevskii Sb., 23:3 (2022),  102–117
31. The final deviation and the main quality measure for Korobov grids
    
    Chebyshevskii Sb., 23:2 (2022),  56–73
32. Generalized Dirichlet problem for a two-dimensional lattice of Dirichlet approximations
    
    Chebyshevskii Sb., 23:1 (2022),  83–105
33. On generalized non-uniform Korobov grids
    
    Chebyshevskii Sb., 22:5 (2021),  365–373
34. About one functional equation
    
    Chebyshevskii Sb., 22:5 (2021),  359–364
35. Refinement of Bernstein–Nikolskii constant for the sphere with Dunkl weight in the case of octahedron group
    
    Chebyshevskii Sb., 22:5 (2021),  354–358
36. Pseudorandom search algorithms in problems of optimal choice of parameters of complex econometric models
    
    Chebyshevskii Sb., 22:5 (2021),  25–43
37. On the hyperbolic parameter of a two-dimensional lattice of comparisons
    
    Chebyshevskii Sb., 22:4 (2021),  168–182
38. Approximation by spherical polynomials in $L^{p}$ for $p<1$
    
    Chebyshevskii Sb., 22:3 (2021),  453–456
39. About application of number-theoretic grids in problems of acoustics
    
    Chebyshevskii Sb., 22:3 (2021),  368–382
40. Smooth manifold of one-dimensional lattices and shifted lattices
    
    Chebyshevskii Sb., 22:3 (2021),  196–231
41. Trigonometric sums of grids of algebraic lattices with infinitely differentiable weights
    
    Chebyshevskii Sb., 22:3 (2021),  166–178
42. About three-dimensional nets of Smolyak II
    
    Chebyshevskii Sb., 22:3 (2021),  100–121
43. On a linear Diophantine equation and its applications
    
    Chebyshevskii Sb., 22:2 (2021),  288–303
44. Abscissa of Absolute Convergence of a Class of Generalized Euler Products
    
    Mat. Zametki, 109:3 (2021),  464–469
45. Nikolskii–Bernstein constants in $L^{p}$ on the sphere with Dunkl weight
    
    Chebyshevskii Sb., 21:4 (2020),  302–307
46. Asymptotic estimation for trigonometric sums of algebraic grids
    
    Chebyshevskii Sb., 21:3 (2020),  232–240
47. Smooth manifold of one-dimensional lattices
    
    Chebyshevskii Sb., 21:3 (2020),  165–185
48. Inverse problem for a monoid with an exponential sequence of primes
    
    Chebyshevskii Sb., 21:1 (2020),  165–185
49. Extremal Nikolskii–Bernstein- and Turán-type problems for Dunkl transform
    
    Chebyshevskii Sb., 20:3 (2019),  394–400
50. About solutions of inverse problems sound waves diffraction
    
    Chebyshevskii Sb., 20:3 (2019),  220–245
51. About three-dimensional nets of Smolyak I
    
    Chebyshevskii Sb., 20:3 (2019),  193–219
52. Determination of material mathematical functions in the conditions of the duration of dilatating media from powder and ingot metal systems
    
    Chebyshevskii Sb., 20:2 (2019),  537–560
53. Development of mathematical models of plastic media for resource-saving metal systems technologies
    
    Chebyshevskii Sb., 20:2 (2019),  462–477
54. On a generalized Eulerian product defining a meromorphic function on the whole complex plane
    
    Chebyshevskii Sb., 20:2 (2019),  156–168
55. Dirichlet series algebra of a monoid of natural numbers
    
    Chebyshevskii Sb., 20:1 (2019),  180–196
56. Monoids of natural numbers in the numerical-theoretical method in the approximate analysis
    
    Chebyshevskii Sb., 20:1 (2019),  164–179
57. One model Zeta function of the monoid of natural numbers
    
    Chebyshevskii Sb., 20:1 (2019),  148–163
58. On classical number-theoretic nets
    
    Chebyshevskii Sb., 19:4 (2018),  118–176
59. On two asymptotic formulas in the theory of hyperbolic Zeta function of lattices
    
    Chebyshevskii Sb., 19:3 (2018),  109–134
60. On the monoid of quadratic residues
    
    Chebyshevskii Sb., 19:3 (2018),  95–108
61. The zeta function of monoids with a given abscissa of absolute convergence
    
    Chebyshevskii Sb., 19:2 (2018),  142–150
62. On the number of prime elements in certain monoids of natural numbers
    
    Chebyshevskii Sb., 19:2 (2018),  123–141
63. Nikolskii constants in $L^{p}(\mathbb{R},|x|^{2\alpha+1}\,dx)$ spaces
    
    Chebyshevskii Sb., 19:2 (2018),  67–79
64. Analysis of plasticity theory equations of powder metal systems
    
    Chebyshevskii Sb., 19:1 (2018),  152–166
65. Hypothesis about "barier series" for the zeta-functions of monoids with the exponential sequence of primes
    
    Chebyshevskii Sb., 19:1 (2018),  106–123
66. On monoids of natural numbers with unique factorization into prime elements
    
    Chebyshevskii Sb., 19:1 (2018),  79–105
67. Discrete model of paired relay-race
    
    Vestnik YuUrGU. Ser. Mat. Model. Progr., 11:3 (2018),  72–84
68. Relay races along a pair of selectable routes
    
    Vestnik YuUrGU. Ser. Mat. Model. Progr., 11:1 (2018),  15–26
69. Algebraic lattice in a metric space lattices
    
    Chebyshevskii Sb., 18:4 (2017),  326–338
70. The zeta-function is the monoid of natural numbers with unique factorization
    
    Chebyshevskii Sb., 18:4 (2017),  188–208
71. Number-theoretic method in approximate analysis
    
    Chebyshevskii Sb., 18:4 (2017),  6–85
72. The transformation of objects in GeoGebra
    
    Chebyshevskii Sb., 18:2 (2017),  129–143
73. Classification purely real algebraic irrationalities
    
    Chebyshevskii Sb., 18:2 (2017),  98–128
74. On fractional linear transformations of forms A. Thue–M. N. Dobrovolsky–V. D. Podsypanina
    
    Chebyshevskii Sb., 18:2 (2017),  54–97
75. A computer proof of the hypothesis about of centroids
    
    Chebyshevskii Sb., 18:1 (2017),  73–91
76. On Lagrange algorithm for reduced algebraic irrationalities
    
    Bul. Acad. Ştiinţe Repub. Mold. Mat., 2016, no. 2,  27–39
77. On hyperbolic Hurwitz zeta function
    
    Chebyshevskii Sb., 17:3 (2016),  72–105
78. Hyperbolic zeta function of lattice over quadratic field
    
    Chebyshevskii Sb., 16:4 (2015),  100–149
79. About minimal polynomial residual fractions for algebraic irrationalities
    
    Chebyshevskii Sb., 16:3 (2015),  147–182
80. Some questions of number-theoretical method in approximation analysis
    
    Izv. Saratov Univ. Math. Mech. Inform., 13:4(2) (2013),  47–52
81. Гиперболические дзета-функции сеток и решеток и вычисление оптимальных коэффициентов
    
    Chebyshevskii Sb., 13:4 (2012),  4–107
82. О матричной форме теоремы Галуа о чисто периодических цепных дробях
    
    Chebyshevskii Sb., 13:3 (2012),  47–52
83. Discrepancy of two-dimensional Smolyak grids
    
    Chebyshevskii Sb., 8:1 (2007),  110–152


84. Andrey Mikhailovich Zubkov (30.12.1946 — 06.08.2025)
    
    Chebyshevskii Sb., 26:3 (2025),  419–421
85. Sergey Vladimirovich Vostokov (13.04.1945 — 6.03.2025)
    
    Chebyshevskii Sb., 26:3 (2025),  416–418
86. Valery Ivanovich Ivanov (7.07.1951 — 2.03.2025)
    
    Chebyshevskii Sb., 26:1 (2025),  258–262
87. 75-th Anniversary of Professor Urusbi Mukhamedovich Pachev
    
    Chebyshevskii Sb., 26:1 (2025),  243–257
88. Ashot Enofovich Ustyn (1.09.1937 – 9.06.2024)
    
    Chebyshevskii Sb., 25:2 (2024),  366–367
89. To memory of Alexander Vasilyevich Mikhalev
    
    Chebyshevskii Sb., 23:5 (2022),  348–350
90. Gvozdev Alexander Evgenievich, Doctor of Technical Sciences, Professor, Chief Researcher of the Tula State Lev Tolstoy Pedagogical University — a bright representative of the scientific school of superplasticity of metal systems M. H. Shorshorov
    
    Chebyshevskii Sb., 23:4 (2022),  405–420
91. On the 85th anniversary of Ashot Enofovich Ustyan
    
    Chebyshevskii Sb., 23:4 (2022),  394–404
92. To the anniversary of the Honored Professor of Moscow University Vladimir Anatolyevich Levin
    
    Chebyshevskii Sb., 23:4 (2022),  6–10
93. In memory of Alexander Evgenievich Gvozdev
    
    Chebyshevskii Sb., 23:3 (2022),  304–305
94. To the memory of Boris Mikhailovich Shirokov
    
    Chebyshevskii Sb., 23:2 (2022),  235–236
95. To the memory of Viktor Aleksandrovich Vedernikov
    
    Chebyshevskii Sb., 23:2 (2022),  232–234
96. In memory of Vadim Fedorovich Kirichenko
    
    Chebyshevskii Sb., 23:1 (2022),  328–329
97. Yuri Valentinovich Nesterenko (to the 75th anniversary)
    
    Chebyshevskii Sb., 23:1 (2022),  10–20
98. Vasily Ivanovich Bernik (to the 75th anniversary)
    
    Chebyshevskii Sb., 23:1 (2022),  6–9
99. In memory of Vladimir Konstantinovich Kartashov
    
    Chebyshevskii Sb., 22:5 (2021),  419–421
100. In memory of Vyacheslav Alexandrovich Artamonov
     
     Chebyshevskii Sb., 22:5 (2021),  417–418
101. The twentieth anniversary of the Chebyshevskii Sbornik
     
     Chebyshevskii Sb., 22:5 (2021),  407–416
102. Vladimir Nikolaevich Chubarikov (to the 70th anniversary of his birth)
     
     Chebyshevskii Sb., 22:5 (2021),  5–15
103. Alexander Ivanovich Nizhnikov (on the 75th anniversary of his birth)
     
     Chebyshevskii Sb., 22:3 (2021),  479–492
104. Yuri Filippovich Golovnev (to the 80th anniversary)
     
     Chebyshevskii Sb., 22:2 (2021),  366–372
105. Computer science, computer, computational complexity
     
     Chebyshevskii Sb., 22:1 (2021),  520–536
106. Evgeny Vladimirovich Podsypanin
     
     Chebyshevskii Sb., 21:4 (2020),  425–426
107. On mathematical research V. N. Kuznetsova (On the occasion of his 70th birthday)
     
     Chebyshevskii Sb., 18:2 (2017),  305–314
108. The 80th anniversary of professor Vladimir Konstantinovich Kartashov
     
     Chebyshevskii Sb., 18:2 (2017),  298–304
109. The memory of Michel Deza
     
     Chebyshevskii Sb., 18:1 (2017),  4–28