Persons
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
 
Subbotin, Yurii Nikolaevich
(1936–2021)

Statistics Math-Net.Ru
Total publications: 93
Scientific articles: 85
Presentations: 3

Number of views:
This page:6195
Abstract pages:34799
Full texts:13463
References:3837
Corresponding member of RAS
Professor
Doctor of physico-mathematical sciences (1974)
Speciality: 01.01.01 (Real analysis, complex analysis, and functional analysis)
Birth date: 18.07.1936
Keywords: approximation theory, extremal problems, interpolation, n-widths, splines, finite element methods, wavelets, numerical analysis.
   
Main publications:
  1. Subbotin Yu. N., “Funtsionalnaya interpolyatsiya v srednem s naimenshetsi $n$-oi proizvodnoi”, Tr. MIAN, 88, 1967, 30–60  mathscinet  zmath
  2. Subbotin Yu. N., “Ekstremalnaya v $L_p$ interpolyatsiya v srednem pri peresekayuschikhsya intervalakh usredneniya”, Izvestiya RAN. Seriya matem., 61:1 (1997), 177–198  mathnet  mathscinet  zmath
  3. Subbotin Yu. N., Chernykh N. I., “Bazisy vspleskov v prostranstvakh analiticheskikh funktsii”, Tr. MIAN, 219, 1997, 340–355  mathnet  mathscinet  zmath
  4. Subbotin Yu. N., Chernykh N. I., “Vspleski v prostranstvakh garmonicheskikh funktsii”, Izvestiya RAN. Seriya matem., 64:1 (2000), 145–174  mathnet  mathscinet  zmath

https://www.mathnet.ru/eng/person8513
https://ru.wikipedia.org/wiki/Subbotin,_Yurii_Nikolaevich
List of publications on Google Scholar
List of publications on ZentralBlatt
https://mathscinet.ams.org/mathscinet/MRAuthorID/211728
https://elibrary.ru/author_items.asp?authorid=4668
ISTINA https://istina.msu.ru/workers/19465626
https://orcid.org/0000-0002-3270-4577

Publications in Math-Net.Ru Citations
2024
1. N. V. Baidakova, Yu. N. Subbotin, “Approximation of the derivatives of a function defined on a simplex under Lagrangian interpolation”, Mat. Zametki, 115:1 (2024),  3–13  mathnet  mathscinet; Math. Notes, 115:1 (2024), 3–11  scopus 1
2022
2. Yu. N. Subbotin, V. T. Shevaldin, “Extremal functional $L_p$-interpolation on an arbitrary mesh on the real axis”, Mat. Sb., 213:4 (2022),  123–144  mathnet  mathscinet; Sb. Math., 213:4 (2022), 556–577  isi  scopus 2
2021
3. Yu. N. Subbotin, N. V. Baidakova, “Approximation of the Derivatives of a Function in Lagrange Interpolation on Low-Dimensional Simplices”, Trudy Mat. Inst. Steklova, 312 (2021),  272–281  mathnet  elib; Proc. Steklov Inst. Math., 312 (2021), 261–269  isi  scopus 1
2019
4. Yu. N. Subbotin, V. T. Shevaldin, “A Method for the Construction of Local Parabolic Splines with Additional Knots”, Trudy Inst. Mat. i Mekh. UrO RAN, 25:2 (2019),  205–219  mathnet  elib; Proc. Steklov Inst. Math. (Suppl.), 309, suppl. 1 (2020), S151–S166  isi  scopus 2
5. Yu. N. Subbotin, N. I. Chernykh, “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  mathnet  elib; Proc. Steklov Inst. Math. (Suppl.), 309, suppl. 1 (2020), S3–S9  isi  scopus
2018
6. Yu. N. Subbotin, N. I. Chernykh, “Harmonic Interpolating Wavelets in a Ring”, Trudy Inst. Mat. i Mekh. UrO RAN, 24:4 (2018),  225–234  mathnet  elib; Proc. Steklov Inst. Math. (Suppl.), 308, suppl. 1 (2020), S58–S67  isi
7. Yu. N. Subbotin, S. I. Novikov, V. T. Shevaldin, “Extremal functional interpolation and splines”, Trudy Inst. Mat. i Mekh. UrO RAN, 24:3 (2018),  200–225  mathnet  elib 13
2017
8. Yu. N. Subbotin, N. I. Chernykh, “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  mathnet  elib; Proc. Steklov Inst. Math. (Suppl.), 303, suppl. 1 (2018), S213–S215  isi
9. Natalia V. Baidakova, Nikolai I. Chernykh, Valerii M. Koloskov, Yurii N. Subbotin, “A new algorithm for analysis of experimental Mössbauer spectra”, Ural Math. J., 3:2 (2017),  33–39  mathnet  mathscinet  elib 3
2016
10. Yu. N. Subbotin, N. I. Chernykh, “Interpolation wavelets in boundary value problems”, Trudy Inst. Mat. i Mekh. UrO RAN, 22:4 (2016),  257–268  mathnet  mathscinet  elib; Proc. Steklov Inst. Math. (Suppl.), 300, suppl. 1 (2018), 172–183  isi  scopus 9
11. Yu. N. Subbotin, S. A. Telyakovskii, “Uniform approximation of curvature of smooth planar curves”, Trudy Inst. Mat. i Mekh. UrO RAN, 22:4 (2016),  254–256  mathnet  mathscinet  elib; Proc. Steklov Inst. Math. (Suppl.), 300, suppl. 1 (2018), 184–186  isi  scopus
12. V. P. Vereshchagin, Yu. N. Subbotin, N. I. Chernykh, “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  mathnet  mathscinet  elib
2015
13. Yu. N. Subbotin, S. A. Telyakovskii, “On the Norms of Favard Kernels”, Mat. Zametki, 97:4 (2015),  583–590  mathnet  mathscinet  zmath  elib; Math. Notes, 97:4 (2015), 598–604  isi  scopus
14. Yu. N. Subbotin, “Uniform approximation of curvature for smooth classes of plane curves”, Trudy Inst. Mat. i Mekh. UrO RAN, 21:4 (2015),  273–276  mathnet  mathscinet  elib; Proc. Steklov Inst. Math. (Suppl.), 297, suppl. 1 (2017), 182–185  isi 1
15. V. P. Vereshchagin, Yu. N. Subbotin, N. I. Chernykh, “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  mathnet  mathscinet  elib; Proc. Steklov Inst. Math. (Suppl.), 296, suppl. 1 (2017), 236–242  isi 1
16. Yurii N. Subbotin, “One-sided widths of classes of smooth functions”, Ural Math. J., 1:1 (2015),  83–86  mathnet  zmath  elib
2014
17. V. P. Vereshchagin, Yu. N. Subbotin, N. I. Chernykh, “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  mathnet  mathscinet  elib; Proc. Steklov Inst. Math. (Suppl.), 288, suppl. 1 (2015), 211–221  isi  scopus 2
18. Yu. S. Volkov, Yu. N. Subbotin, “50 years to Schoenberg's problem on the convergence of spline interpolation”, Trudy Inst. Mat. i Mekh. UrO RAN, 20:1 (2014),  52–67  mathnet  mathscinet  elib; Proc. Steklov Inst. Math. (Suppl.), 288, suppl. 1 (2015), 222–237  isi  scopus 17
19. V. P. Vereshchagin, Yu. N. Subbotin, N. I. Chernykh, “Description of a helical motion of an incompressible nonviscous fluid”, Trudy Inst. Mat. i Mekh. UrO RAN, 20:1 (2014),  43–51  mathnet  mathscinet  elib; Proc. Steklov Inst. Math. (Suppl.), 288, suppl. 1 (2015), 202–210  isi  scopus
2013
20. V. P. Vereshchagin, Yu. N. Subbotin, N. I. Chernykh, “Some solutions of continuum equations for an incompressible viscous fluid”, Trudy Inst. Mat. i Mekh. UrO RAN, 19:4 (2013),  48–63  mathnet  mathscinet  elib; Proc. Steklov Inst. Math. (Suppl.), 287, suppl. 1 (2014), 208–223  isi  scopus 4
2012
21. Yu. N. Subbotin, S. A. Telyakovskii, “On the Relative Widths of Ellipsoids in Hilbert Space”, Mat. Zametki, 91:3 (2012),  473–476  mathnet  mathscinet  elib; Math. Notes, 91:3 (2012), 449–452  isi  elib  scopus
22. Yu. N. Subbotin, “One-sided widths of classes of smooth functions”, Trudy Inst. Mat. i Mekh. UrO RAN, 18:4 (2012),  267–270  mathnet  elib
23. V. P. Vereshchagin, Yu. N. Subbotin, N. I. Chernykh, “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  mathnet  elib; Proc. Steklov Inst. Math. (Suppl.), 284, suppl. 1 (2014), 159–174  isi  scopus 7
24. V. P. Vereshchagin, Yu. N. Subbotin, N. I. Chernykh, “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  mathnet  elib 3
2011
25. V. V. Arestov, V. I. Berdyshev, N. I. Chernykh, T. V. Demina, N. N. Kholschevnikova, S. V. Konyagin, Yu. N. Subbotin, S. A. Telyakovskii, I. G. Tsar'kov, V. A. Yudin, “Exposition of the lectures by S. B. Stechkin on approximation theory”, Eurasian Math. J., 2:4 (2011),  5–155  mathnet  mathscinet  zmath 3
26. Yu. N. Subbotin, N. I. Chernykh, “The Poisson problem in a domain with a cut”, Mat. Tr., 14:2 (2011),  189–205  mathnet  mathscinet; Siberian Adv. Math., 22:3 (2012), 204–216
27. Yu. N. Subbotin, S. A. Telyakovskii, “On relative widths of classes of differentiable functions. III”, Trudy Inst. Mat. i Mekh. UrO RAN, 17:3 (2011),  300–302  mathnet  elib
2010
28. Yu. N. Subbotin, N. I. Chernykh, “Harmonic wavelets in boundary value problems for harmonic and biharmonic functions”, Trudy Inst. Mat. i Mekh. UrO RAN, 16:4 (2010),  281–296  mathnet  elib; Proc. Steklov Inst. Math. (Suppl.), 273, suppl. 1 (2011), S142–S159  isi  scopus 5
29. V. P. Vereshchagin, Yu. N. Subbotin, N. I. Chernykh, “The class of solenoidal planar-helical vector fields”, Trudy Inst. Mat. i Mekh. UrO RAN, 16:4 (2010),  128–143  mathnet  elib; Proc. Steklov Inst. Math. (Suppl.), 273, suppl. 1 (2011), S171–S187  isi  scopus 4
30. V. P. Vereshchagin, Yu. N. Subbotin, N. I. Chernykh, “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  mathnet  elib 1
31. N. V. Baidakova, Yu. N. Subbotin, N. I. Chernykh, “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  mathnet  elib 1
32. Yu. N. Subbotin, S. A. Telyakovskii, “Sharpening of the estimates for relative widths of classes of differentiable functions”, Trudy Mat. Inst. Steklova, 269 (2010),  242–253  mathnet  mathscinet  zmath  elib; Proc. Steklov Inst. Math., 269 (2010), 235–246  isi  elib  scopus 4
2009
33. V. P. Vereshchagin, Yu. N. Subbotin, N. I. Chernykh, “The full class ofsmooth axially symmetric longitudinal-vortex unit vector fields”, Izv. Saratov Univ. Math. Mech. Inform., 9:4(1) (2009),  11–23  mathnet 3
34. Yu. N. Subbotin, “Form-preserving exponential approximation”, Izv. Vyssh. Uchebn. Zaved. Mat., 2009, no. 11,  53–60  mathnet  mathscinet  zmath; Russian Math. (Iz. VUZ), 53:11 (2009), 46–52 4
35. Yu. N. Subbotin, S. A. Telyakovskii, “On the Equality of Kolmogorov and Relative Widths of Classes of Differentiable Functions”, Mat. Zametki, 86:3 (2009),  456–465  mathnet  mathscinet  zmath; Math. Notes, 86:3 (2009), 432–439  isi  scopus 4
36. Yu. N. Subbotin, N. I. Chernykh, “The Dirichlet problem in a domain with a slit”, Trudy Inst. Mat. i Mekh. UrO RAN, 15:1 (2009),  208–221  mathnet  elib; Proc. Steklov Inst. Math. (Suppl.), 265, suppl. 1 (2009), S103–S117  isi 3
37. V. P. Vereshchagin, Yu. N. Subbotin, N. I. Chernykh, “Transformation that changes the geometric structure of a vector field”, Trudy Inst. Mat. i Mekh. UrO RAN, 15:1 (2009),  111–121  mathnet  elib; Proc. Steklov Inst. Math. (Suppl.), 265, suppl. 1 (2009), S118–S128  isi 8
2008
38. Yu. N. Subbotin, N. I. Chernykh, “Interpolating-orthogonal wavelet systems”, Trudy Inst. Mat. i Mekh. UrO RAN, 14:3 (2008),  153–161  mathnet  elib; Proc. Steklov Inst. Math. (Suppl.), 264, suppl. 1 (2009), S107–S115  isi  scopus 10
39. V. P. Vereshchagin, Yu. N. Subbotin, N. I. Chernykh, “Longitudinal-vortex unit vector fields from the class of axially symmetric fields”, Trudy Inst. Mat. i Mekh. UrO RAN, 14:3 (2008),  92–98  mathnet  elib; Proc. Steklov Inst. Math. (Suppl.), 264, suppl. 1 (2009), S126–S132  isi  scopus 5
40. V. P. Vereshchagin, Yu. N. Subbotin, N. I. Chernykh, “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  mathnet  elib; Proc. Steklov Inst. Math. (Suppl.), 264, suppl. 1 (2009), S116–S125  isi  scopus 6
2007
41. Yu. N. Subbotin, “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  mathnet  elib; Proc. Steklov Inst. Math. (Suppl.), 259, suppl. 2 (2007), S231–S242  scopus 5
2005
42. Yu. N. Subbotin, N. I. Chernykh, “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  mathnet  mathscinet  zmath  elib; Proc. Steklov Inst. Math. (Suppl.), 2005no. , suppl. 2, S64–S103 2
43. Yu. N. Subbotin, “A new cubic element in the FEM”, Trudy Inst. Mat. i Mekh. UrO RAN, 11:2 (2005),  120–130  mathnet  mathscinet  zmath  elib; Proc. Steklov Inst. Math. (Suppl.), 2005no. , suppl. 2, S176–S187 11
44. Yu. N. Subbotin, S. A. Telyakovskii, “On Relative Widths of Classes of Differentiable Functions”, Trudy Mat. Inst. Steklova, 248 (2005),  250–261  mathnet  mathscinet  zmath; Proc. Steklov Inst. Math., 248 (2005), 243–254 7
2003
45. Yu. N. Subbotin, S. A. Telyakovskii, “Norms on $L$ of Periodic Interpolation Splines with Equidistant Nodes”, Mat. Zametki, 74:1 (2003),  108–117  mathnet  mathscinet  zmath  elib; Math. Notes, 74:1 (2003), 100–109  isi  scopus 4
46. Yu. N. Subbotin, S. A. Telyakovskii, “Approximation of Derivatives by the Derivatives of Interpolating Splines”, Trudy Mat. Inst. Steklova, 243 (2003),  320–333  mathnet  mathscinet  zmath; Proc. Steklov Inst. Math., 243 (2003), 309–322 2
2002
47. Yu. N. Subbotin, N. I. Chernykh, “Harmonic wavelets and asymptotics of Dirichlet problem solution in circle with small perforation”, Matem. Mod., 14:5 (2002),  17–30  mathnet  mathscinet  zmath 6
2001
48. Yu. N. Subbotin, S. A. Telyakovskii, “Relative widths of classes of differentiable functions in the $L^2$ metric”, Uspekhi Mat. Nauk, 56:4(340) (2001),  159–160  mathnet  mathscinet  zmath; Russian Math. Surveys, 56:4 (2001), 767–769  isi  scopus 11
49. Yu. N. Subbotin, N. I. Chernykh, “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  mathnet  mathscinet  zmath  elib; Proc. Steklov Inst. Math. (Suppl.), 2001no. , suppl. 1, S71–S84 5
50. Yu. N. Subbotin, S. A. Telyakovskii, “Splines and relative widths of classes of differentiable functions”, Trudy Inst. Mat. i Mekh. UrO RAN, 7:1 (2001),  208–216  mathnet  mathscinet  zmath  elib; Proc. Steklov Inst. Math. (Suppl.), 2001no. , suppl. 1, S225–S234 3
2000
51. Yu. N. Subbotin, N. I. Chernykh, “Wavelets in spaces of harmonic functions”, Izv. RAN. Ser. Mat., 64:1 (2000),  145–174  mathnet  mathscinet  zmath  elib; Izv. Math., 64:1 (2000), 143–171  isi  scopus 12
52. Yu. N. Subbotin, S. A. Telyakovskii, “Asymptotic behaviour of the Lebesgue constants of periodic interpolation splines with equidistant nodes”, Mat. Sb., 191:8 (2000),  131–140  mathnet  mathscinet  zmath; Sb. Math., 191:8 (2000), 1233–1242  isi  scopus 13
1999
53. Yu. N. Subbotin, S. A. Telyakovskii, “Exact values of relative widths of classes of differentiable functions”, Mat. Zametki, 65:6 (1999),  871–879  mathnet  mathscinet  zmath; Math. Notes, 65:6 (1999), 731–738  isi 17
1998
54. N. L. Patsko, Yu. N. Subbotin, “B-spline in the finite element method”, Zh. Vychisl. Mat. Mat. Fiz., 38:1 (1998),  15–24  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 38:1 (1998), 11–20
1997
55. Yu. N. Subbotin, “Variations on a spline theme”, Fundam. Prikl. Mat., 3:4 (1997),  1043–1058  mathnet  mathscinet  zmath 9
56. Yu. N. Subbotin, “Extremal $L_p$ interpolation in the mean with intersecting averaging intervals”, Izv. RAN. Ser. Mat., 61:1 (1997),  177–198  mathnet  mathscinet  zmath; Izv. Math., 61:1 (1997), 183–205  isi  scopus 10
57. Yu. N. Subbotin, N. I. Chernykh, “Wavelets Bases in Spaces of Analytic Functions”, Trudy Mat. Inst. Steklova, 219 (1997),  340–355  mathnet  mathscinet  zmath; Proc. Steklov Inst. Math., 219 (1997), 334–349 5
1996
58. Yu. N. Subbotin, “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  mathnet  mathscinet  zmath; Math. Notes, 59:1 (1996), 83–96  isi 11
59. Yu. N. Subbotin, “Almost orthogonalization in the finite element method”, Zh. Vychisl. Mat. Mat. Fiz., 36:3 (1996),  101–108  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 36:3 (1996), 365–371  isi 2
1993
60. Yu. N. Subbotin, “Inheritance of monotonicity and convexity in local approximations”, Zh. Vychisl. Mat. Mat. Fiz., 33:7 (1993),  996–1003  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 33:7 (1993), 879–884  isi 21
1992
61. Yu. N. Subbotin, “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  mathnet  mathscinet  zmath  elib 15
1990
62. Yu. N. Subbotin, “Error of the approximation by interpolation polynomials of small degrees on $n$-simplices”, Mat. Zametki, 48:4 (1990),  88–99  mathnet  mathscinet  zmath; Math. Notes, 48:4 (1990), 1030–1037  isi 15
1989
63. D. Nadzhmiddinov, Yu. N. Subbotin, “Markov inequalities for polynomials on triangles”, Mat. Zametki, 46:2 (1989),  76–82  mathnet  mathscinet  zmath; Math. Notes, 46:2 (1989), 627–631  isi 6
64. Yu. N. Subbotin, “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  mathnet  mathscinet  zmath; Proc. Steklov Inst. Math., 189 (1990), 135–159 23
1988
65. Yu. N. Subbotin, “Norms of interpolational, splines of odd degree in the spaces $W_2^k$”, Mat. Zametki, 44:6 (1988),  843–849  mathnet  mathscinet  zmath; Math. Notes, 44:6 (1988), 958–962  isi 2
1987
66. Yu. N. Subbotin, “The error in multidimensional piecewise polynomial approximation”, Trudy Mat. Inst. Steklov., 180 (1987),  208–209  mathnet  zmath; Proc. Steklov Inst. Math., 180 (1989), 246–248 1
1983
67. N. L. Zmatrakov, Yu. N. Subbotin, “Multiple interpolation splines of degree $2k+1$ and defect $k$”, Trudy Mat. Inst. Steklov., 164 (1983),  75–99  mathnet  mathscinet  zmath; Proc. Steklov Inst. Math., 164 (1985), 83–111 2
1982
68. Yu. N. Subbotin, “The Lebesgue constants of certain $m$-dimensional interpolation polynomials”, Mat. Sb. (N.S.), 118(160):4(8) (1982),  557–566  mathnet  mathscinet  zmath; Math. USSR-Sb., 46:4 (1983), 561–570 3
1980
69. Yu. N. Subbotin, “One-sided spline approximation with additional restrictions, and the reconstruction of functions and derivatives”, Mat. Zametki, 28:2 (1980),  223–238  mathnet  mathscinet  zmath; Math. Notes, 28:2 (1980), 574–582  isi 1
70. Yu. N. Subbotin, “Extremal problems of the theory of approximation of functions with incomplete information”, Trudy Mat. Inst. Steklov., 145 (1980),  152–168  mathnet  mathscinet  zmath; Proc. Steklov Inst. Math., 145 (1981), 167–185 7
1975
71. Yu. N. Subbotin, “Extremal problems of functional interpolation, and mean interpolation splines”, Trudy Mat. Inst. Steklov., 138 (1975),  118–173  mathnet  mathscinet  zmath; Proc. Steklov Inst. Math., 138 (1977), 127–185 30
1974
72. Yu. N. Subbotin, “Extremal functional interpolation and splines”, Dokl. Akad. Nauk SSSR, 214:1 (1974),  56–58  mathnet  mathscinet  zmath 1
73. Yu. N. Subbotin, “Extremal functional interpolation and approximation by splines”, Mat. Zametki, 16:5 (1974),  843–854  mathnet  mathscinet  zmath; Math. Notes, 16:5 (1974), 1097–1103 2
1972
74. Yu. N. Subbotin, “Approximation by splines and smooth bases in $C(0, 2\pi)$”, Mat. Zametki, 12:1 (1972),  43–51  mathnet  mathscinet  zmath; Math. Notes, 12:1 (1972), 459–463 12
1971
75. Yu. N. Subbotin, “A relation between spline approximation and the problem of the approximation of one class by another”, Mat. Zametki, 9:5 (1971),  501–510  mathnet  mathscinet  zmath; Math. Notes, 9:5 (1971), 289–294 4
76. Yu. N. Subbotin, “Approximation by spline functions, and estimates of widths”, Trudy Mat. Inst. Steklov., 109 (1971),  35–60  mathnet  mathscinet  zmath; Proc. Steklov Inst. Math., 109 (1971), 39–67 15
1970
77. Yu. N. Subbotin, “Approximation of functions of class $W^kH_\omega^p$ by splines of order $m$”, Dokl. Akad. Nauk SSSR, 195:5 (1970),  1039–1041  mathnet  mathscinet  zmath 2
78. Yu. N. Subbotin, “Linear method for the approximation of differentiable functions”, Mat. Zametki, 7:4 (1970),  423–430  mathnet  mathscinet  zmath; Math. Notes, 7:4 (1970), 256–260 2
79. Yu. N. Subbotin, “Diameter of class $W^rL$ in $L(0,2\pi)$ and spline function approximation”, Mat. Zametki, 7:1 (1970),  43–52  mathnet  mathscinet  zmath; Math. Notes, 7:1 (1970), 27–32 11
80. Yu. N. Subbotin, N. I. Chernykh, “Order of the best spline approximations of some classes of functions”, Mat. Zametki, 7:1 (1970),  31–42  mathnet  mathscinet  zmath; Math. Notes, 7:1 (1970), 20–26 13
1968
81. Yu. N. Subbotin, L. V. Taikov, “Best approximation of a differentiation operator in $L_2$-space”, Mat. Zametki, 3:2 (1968),  157–164  mathnet  mathscinet  zmath; Math. Notes, 3:2 (1968), 106–109 14
1967
82. Yu. N. Subbotin, “The best approximation of a class of functions by another class”, Mat. Zametki, 2:5 (1967),  495–504  mathnet  mathscinet  zmath; Math. Notes, 2:5 (1967), 792–797 4
83. Yu. N. Subbotin, “Piecewise-polynomial (spline) interpolation”, Mat. Zametki, 1:1 (1967),  63–70  mathnet  mathscinet  zmath; Math. Notes, 1:1 (1967), 41–45 12
84. Yu. N. Subbotin, “Functional interpolation in the mean with smallest $n$ derivative”, Trudy Mat. Inst. Steklov., 88 (1967),  30–60  mathnet  mathscinet  zmath; Proc. Steklov Inst. Math., 88 (1967), 31–63 26
1965
85. Yu. N. Subbotin, “On the connection between finite differences and corresponding derivatives”, Trudy Mat. Inst. Steklov., 78 (1965),  24–42  mathnet  mathscinet  zmath 42

2014
86. V. I. Berdyshev, V. V. Vasin, S. V. Matveev, A. A. Makhnev, Yu. N. Subbotin, N. N. Subbotina, V. N. Ushakov, M. Yu. Khachai, A. G. Chentsov, “Ivan Ivanovich Eremin”, Trudy Inst. Mat. i Mekh. UrO RAN, 20:2 (2014),  5–12  mathnet  mathscinet  elib; Proc. Steklov Inst. Math. (Suppl.), 289, suppl. 1 (2015), 1–8  isi
2011
87. N. N. Krasovskii, I. I. Eremin, A. M. Il'in, A. V. Kryazhimskii, A. B. Kurzhanskii, V. I. Berdyshev, V. V. Vasin, A. A. Makhnev, S. V. Matveev, Yu. N. Subbotin, A. G. Chentsov, V. N. Ushakov, V. V. Kabanov, V. I. Maksimov, “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  mathnet  elib; Proc. Steklov Inst. Math. (Suppl.), 276, suppl. 1 (2012), S1–S3  scopus 2
2010
88. Yu. N. Subbotin, S. A. Telyakovskii, “Letter to the Editor”, Mat. Zametki, 87:3 (2010),  480  mathnet  mathscinet  zmath; Math. Notes, 87:3 (2010), 452  isi  scopus
89. N. N. Andreev, S. V. Konyagin, A. G. Sergeev, Yu. N. Subbotin, S. A. Telyakovskii, N. N. Kholshchevnikova, I. G. Tsar'kov, “International conference “Approximation theory” (Moscow, 23–26 august 2010)”, Trudy Inst. Mat. i Mekh. UrO RAN, 16:4 (2010),  314–315  mathnet  elib
2007
90. V. I. Berdyshev, V. V. Vasin, A. A. Makhnev, Yu. N. Subbotin, “On the collaboration of Siberian and Ural mathematicians”, Sib. Èlektron. Mat. Izv., 4 (2007),  22–27  mathnet  mathscinet 3
1996
91. O. V. Besov, V. M. Buchstaber, A. G. Vitushkin, A. A. Gonchar, S. V. Konyagin, L. D. Kudryavtsev, S. M. Nikol'skii, S. P. Novikov, Yu. S. Osipov, A. Yu. Popov, V. A. Sadovnichii, A. F. Sidorov, Yu. N. Subbotin, S. A. Telyakovskii, P. L. Ul'yanov, N. I. Chernykh, “Sergei Borisovich Stechkin (obituary)”, Uspekhi Mat. Nauk, 51:6(312) (1996),  3–10  mathnet  mathscinet; Russian Math. Surveys, 51:6 (1996), 1007–1014  isi 4
92. V. V. Arestov, V. I. Berdyshev, Yu. N. Subbotin, N. I. Chernykh, “S. B. Stechkin and approximation theory”, Trudy Inst. Mat. i Mekh. UrO RAN, 4 (1996),  3–16  mathnet  mathscinet  zmath  elib 2
1973
93. Yu. N. Subbotin, N. I. Chernykh, “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  mathnet  mathscinet

Presentations in Math-Net.Ru
1. О нормах ядер Фавара
Yu. N. Subbotin, S. A. Telyakovskii
Seminar on Approximation Theory
November 13, 2014 10:30
2. О работах Сергея Александровича Теляковского
N. N. Pustovoitov, Yu. N. Subbotin, S. A. Telyakovskii
Seminar on Approximation Theory
December 20, 2012 10:30   
3. Opening ceremony of the conference “Approximation Theory” dedicated to the 90-th anniversary of the birth of S. B. Stechkin
A. G. Sergeev, S. A. Telyakovskii, Yu. N. Subbotin, V. M. Tikhomirov, B. H. Sendov, Yu. L. Averbakh, B. S. Kashin
International conference "Approximation Theory" dedicated to the 90-th anniversary of the birth of Sergey Borisovich Stechkin (1920–1995)
August 23, 2010 10:00   

Organisations
 
  Contact us:
 Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024