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; Math. Notes, 115:1 (2024), 3–11
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; Sb. Math., 213:4 (2022), 556–577
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; Proc. Steklov Inst. Math., 312 (2021), 261–269
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; Proc. Steklov Inst. Math. (Suppl.), 309, suppl. 1 (2020), S151–S166
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; Proc. Steklov Inst. Math. (Suppl.), 309, suppl. 1 (2020), S3–S9
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; Proc. Steklov Inst. Math. (Suppl.), 308, suppl. 1 (2020), S58–S67
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
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; Proc. Steklov Inst. Math. (Suppl.), 303, suppl. 1 (2018), S213–S215
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
Yu. N. Subbotin, N. I. Chernykh, “Interpolation wavelets in boundary value problems”, Trudy Inst. Mat. i Mekh. UrO RAN, 22:4 (2016), 257–268; Proc. Steklov Inst. Math. (Suppl.), 300, suppl. 1 (2018), 172–183
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; Proc. Steklov Inst. Math. (Suppl.), 300, suppl. 1 (2018), 184–186
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
2015
13.
Yu. N. Subbotin, S. A. Telyakovskii, “On the Norms of Favard Kernels”, Mat. Zametki, 97:4 (2015), 583–590; Math. Notes, 97:4 (2015), 598–604
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; Proc. Steklov Inst. Math. (Suppl.), 297, suppl. 1 (2017), 182–185
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; Proc. Steklov Inst. Math. (Suppl.), 296, suppl. 1 (2017), 236–242
Yurii N. Subbotin, “One-sided widths of classes of smooth functions”, Ural Math. J., 1:1 (2015), 83–86
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; Proc. Steklov Inst. Math. (Suppl.), 288, suppl. 1 (2015), 211–221
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; Proc. Steklov Inst. Math. (Suppl.), 288, suppl. 1 (2015), 222–237
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; Proc. Steklov Inst. Math. (Suppl.), 288, suppl. 1 (2015), 202–210
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; Proc. Steklov Inst. Math. (Suppl.), 287, suppl. 1 (2014), 208–223
Yu. N. Subbotin, S. A. Telyakovskii, “On the Relative Widths of Ellipsoids in Hilbert Space”, Mat. Zametki, 91:3 (2012), 473–476; Math. Notes, 91:3 (2012), 449–452
22.
Yu. N. Subbotin, “One-sided widths of classes of smooth functions”, Trudy Inst. Mat. i Mekh. UrO RAN, 18:4 (2012), 267–270
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; Proc. Steklov Inst. Math. (Suppl.), 284, suppl. 1 (2014), 159–174
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
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
Yu. N. Subbotin, N. I. Chernykh, “The Poisson problem in a domain with a cut”, Mat. Tr., 14:2 (2011), 189–205; 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
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; Proc. Steklov Inst. Math. (Suppl.), 273, suppl. 1 (2011), S142–S159
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; Proc. Steklov Inst. Math. (Suppl.), 273, suppl. 1 (2011), S171–S187
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
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
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; Proc. Steklov Inst. Math., 269 (2010), 235–246
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
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; Math. Notes, 86:3 (2009), 432–439
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; Proc. Steklov Inst. Math. (Suppl.), 265, suppl. 1 (2009), S103–S117
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; Proc. Steklov Inst. Math. (Suppl.), 265, suppl. 1 (2009), S118–S128
Yu. N. Subbotin, N. I. Chernykh, “Interpolating-orthogonal wavelet systems”, Trudy Inst. Mat. i Mekh. UrO RAN, 14:3 (2008), 153–161; Proc. Steklov Inst. Math. (Suppl.), 264, suppl. 1 (2009), S107–S115
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; Proc. Steklov Inst. Math. (Suppl.), 264, suppl. 1 (2009), S126–S132
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; Proc. Steklov Inst. Math. (Suppl.), 264, suppl. 1 (2009), S116–S125
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; Proc. Steklov Inst. Math. (Suppl.), 259, suppl. 2 (2007), S231–S242
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; Proc. Steklov Inst. Math. (Suppl.), 2005no. , suppl. 2, S64–S103
Yu. N. Subbotin, “A new cubic element in the FEM”, Trudy Inst. Mat. i Mekh. UrO RAN, 11:2 (2005), 120–130; Proc. Steklov Inst. Math. (Suppl.), 2005no. , suppl. 2, S176–S187
Yu. N. Subbotin, S. A. Telyakovskii, “On Relative Widths of Classes of Differentiable Functions”, Trudy Mat. Inst. Steklova, 248 (2005), 250–261; Proc. Steklov Inst. Math., 248 (2005), 243–254
Yu. N. Subbotin, S. A. Telyakovskii, “Norms on $L$ of Periodic Interpolation Splines with Equidistant Nodes”, Mat. Zametki, 74:1 (2003), 108–117; Math. Notes, 74:1 (2003), 100–109
Yu. N. Subbotin, S. A. Telyakovskii, “Approximation of Derivatives by the Derivatives of Interpolating Splines”, Trudy Mat. Inst. Steklova, 243 (2003), 320–333; Proc. Steklov Inst. Math., 243 (2003), 309–322
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
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; Russian Math. Surveys, 56:4 (2001), 767–769
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; Proc. Steklov Inst. Math. (Suppl.), 2001no. , suppl. 1, S71–S84
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; Proc. Steklov Inst. Math. (Suppl.), 2001no. , suppl. 1, S225–S234
Yu. N. Subbotin, N. I. Chernykh, “Wavelets in spaces of harmonic functions”, Izv. RAN. Ser. Mat., 64:1 (2000), 145–174; Izv. Math., 64:1 (2000), 143–171
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; Sb. Math., 191:8 (2000), 1233–1242
Yu. N. Subbotin, S. A. Telyakovskii, “Exact values of relative widths of classes of differentiable functions”, Mat. Zametki, 65:6 (1999), 871–879; Math. Notes, 65:6 (1999), 731–738
N. L. Patsko, Yu. N. Subbotin, “B-spline in the finite element method”, Zh. Vychisl. Mat. Mat. Fiz., 38:1 (1998), 15–24; 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
Yu. N. Subbotin, “Extremal $L_p$ interpolation in the mean with intersecting averaging intervals”, Izv. RAN. Ser. Mat., 61:1 (1997), 177–198; Izv. Math., 61:1 (1997), 183–205
Yu. N. Subbotin, N. I. Chernykh, “Wavelets Bases in Spaces of Analytic Functions”, Trudy Mat. Inst. Steklova, 219 (1997), 340–355; Proc. Steklov Inst. Math., 219 (1997), 334–349
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; Math. Notes, 59:1 (1996), 83–96
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
Yu. N. Subbotin, “Error of the approximation by interpolation polynomials of small degrees on $n$-simplices”, Mat. Zametki, 48:4 (1990), 88–99; Math. Notes, 48:4 (1990), 1030–1037
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; Proc. Steklov Inst. Math., 189 (1990), 135–159
Yu. N. Subbotin, “Norms of interpolational, splines of odd degree in the spaces $W_2^k$”, Mat. Zametki, 44:6 (1988), 843–849; Math. Notes, 44:6 (1988), 958–962
N. L. Zmatrakov, Yu. N. Subbotin, “Multiple interpolation splines of degree $2k+1$ and defect $k$”, Trudy Mat. Inst. Steklov., 164 (1983), 75–99; Proc. Steklov Inst. Math., 164 (1985), 83–111
Yu. N. Subbotin, “The Lebesgue constants of certain $m$-dimensional interpolation polynomials”, Mat. Sb. (N.S.), 118(160):4(8) (1982), 557–566; Math. USSR-Sb., 46:4 (1983), 561–570
Yu. N. Subbotin, “One-sided spline approximation with additional restrictions, and the reconstruction of functions and derivatives”, Mat. Zametki, 28:2 (1980), 223–238; Math. Notes, 28:2 (1980), 574–582
Yu. N. Subbotin, “Extremal problems of the theory of approximation of functions with incomplete information”, Trudy Mat. Inst. Steklov., 145 (1980), 152–168; Proc. Steklov Inst. Math., 145 (1981), 167–185
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; Math. Notes, 9:5 (1971), 289–294
Yu. N. Subbotin, “Approximation by spline functions, and estimates of widths”, Trudy Mat. Inst. Steklov., 109 (1971), 35–60; Proc. Steklov Inst. Math., 109 (1971), 39–67
Yu. N. Subbotin, “Diameter of class $W^rL$ in $L(0,2\pi)$ and spline function approximation”, Mat. Zametki, 7:1 (1970), 43–52; Math. Notes, 7:1 (1970), 27–32
Yu. N. Subbotin, N. I. Chernykh, “Order of the best spline approximations of some classes of functions”, Mat. Zametki, 7:1 (1970), 31–42; Math. Notes, 7:1 (1970), 20–26
Yu. N. Subbotin, L. V. Taikov, “Best approximation of a differentiation operator in $L_2$-space”, Mat. Zametki, 3:2 (1968), 157–164; Math. Notes, 3:2 (1968), 106–109
Yu. N. Subbotin, “The best approximation of a class of functions by another class”, Mat. Zametki, 2:5 (1967), 495–504; Math. Notes, 2:5 (1967), 792–797
Yu. N. Subbotin, “Functional interpolation in the mean with smallest $n$ derivative”, Trudy Mat. Inst. Steklov., 88 (1967), 30–60; Proc. Steklov Inst. Math., 88 (1967), 31–63
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; Proc. Steklov Inst. Math. (Suppl.), 289, suppl. 1 (2015), 1–8
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; Proc. Steklov Inst. Math. (Suppl.), 276, suppl. 1 (2012), S1–S3
Yu. N. Subbotin, S. A. Telyakovskii, “Letter to the Editor”, Mat. Zametki, 87:3 (2010), 480; Math. Notes, 87:3 (2010), 452
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
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
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; Russian Math. Surveys, 51:6 (1996), 1007–1014
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
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
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