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JOURNALS // Chebyshevskii Sbornik // Archive

2022, Volume 23, Issue 4


To the anniversary of the Honored Professor of Moscow University Vladimir Anatolyevich Levin
V. N. Chubarikov, N. N. Dobrovol'skii, N. M. Dobrovol'skii, I. Yu. Rebrova, A. V. Rodionov
6
Rational A-functions with rational coefficients
N. Ph. Alexiadis
11
Integer approximation of a segment
M. M. Gallamov
20
Boas conjecture on the axis for the Fourier–Dunkl transform and its generalization
D. V. Gorbachev
39
The total method of Chebyshev interpolation in the problem of constructing a linear regression
V. A. Gorelik, T. V. Zolotova
52
The inverse problem for a basic monoid of type $q$
N. N. Dobrovol'skii, I. Yu. Rebrova, N. M. Dobrovol'skii
64
Systems of joint Thue polynomials for quadratic irrationalities
N. N. Dobrovol'skii, N. M. Dobrovol'skii, I. Yu. Rebrova, E. A. Matveeva
77
Lebesgue boundedness of Riesz potential for $(k,1)$-generalized Fourier transform with radial piecewise power weights
V. I. Ivanov
92
Generalized extremal Yudin problems for polynomials
V. I. Ivanov
105
The method of approximate solution of a system of differential equations from the Ramsey–Kass–Koopmans model, based on the solution in quadratures of one subclass of similar systems
A. I. Kozko, L. M. Luzhina, A. Yu. Popov, V. G. Chirskii
115
Carleman's formula for the matrix domains of Siegel
U. S. Rakhmonov, Z. K. Matyakubov
126
Polytops of binary trees, structure of the polytop for the «snake–type»–tree
O. S. Shcherbakov
136

BRIEF MESSAGES
Weighted Carleman inequality for fractional gradient
D. V. Gorbachev
152
Delsarte problem for 4-designs on the unit 3-sphere
D. V. Gorbachev, I. A. Martyanov
157
Algebraic grids and their application to the numerical solution of linear integral equations
N. M. Dobrovol'skii, A. S. Podolyan
162
Deviation estimates for rational grids approximating algebraic
N. N. Dobrovol'skii, I. Yu. Rebrova, A. N. Kormacheva, N. M. Dobrovol'skii
170
On Bykovsky estimates for a measure of the quality of optimal coefficients
A. N. Kormacheva, N. N. Dobrovol'skii, I. Yu. Rebrova, N. M. Dobrovol'skii, T. A. Morozova
178

HISTORY OF MATH AND APPLICATIONS
On the application of the mathematical method of dimensional analysis to the six-minute walk test
A. V. Volkov, E. V. Berezina, A. S. Parfenov, T. V. Mikhailovskaia, I. E. Mishina, A. E. Gvozdev
188
Cauchy's research on substitutions
N. V. Ingtem
198
Comparison of structural functions method approximations of the solution of a linear elastic layered plate bending problem
L. A. Kabanova
211
The history of the conception and development of the metallurgical industry and its impact on the global industry
A. N. Kubanova, A. E. Gvozdev, E. A. Protopopov
233
Exact analytical solution for a problem of equilibrium of a composite plate containing prestressed parts made of incompressible elastic materials under superimposed finite strains
V. A. Levin, K. M. Zingerman, A. E. Belkin
251
Exact solution to the problem of stage-by-stage deformation of a multilayer cylinder made of incompressible hypoelastic material
V. A. Levin, A. V. Vershinin, K. M. Zingerman, D. R. Biryukov
262
Estimation of convergence of spectral element method in CAE Fidesys based on exact solution of the Lame problem for elastoplastic materials using an automated regression testing system
V. A. Levin, V. V. Kozlov, E. D. Komolova, A. V. Filatova, M. A. Kartsev
272
Theoretical and numerical plastic strain localization analysis at plane strain of isotropic dilating non-associated media at plane strain conditions
V. A. Levin, K. Yu. Krapivin
285
Topology optimization of structural elements using gradient method with account for the material's structural inhomogeneity
V. A. Levin, K. M. Zingerman, A. V. Vershinin, P. A. Vasilyev
308
Evolution of the main provisions of the theory of stability
R. R. Mukhin
327
Determination of the inhomogeneity parameters of an elastic ball anisotropic outer layer by the scattering of a plane sound wave
S. A. Skobel'tsyn
350
Diffraction of a spherical sound wave by an elastic cylinder with an non-uniform anisotropic coating
L. A. Tolokonnikov, D. Yu. Efimov
368
Method and some results of numerical estimation of effective Biot's coefficient of rocks
M. Ya. Yakovlev, A. A. Semykin, V. A. Levin
382

MEMORABLE DATES
On the 85th anniversary of Ashot Enofovich Ustyan
N. M. Dobrovolsky, E. V. Manokhin, I. V. Dobrynina, V. N. Chubarikov, N. N. Dobrovolsky, I. Yu. Rebrova
394–404
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
A. N. Sergeev, M. V. Ushakov, S. N. Kutepov, D. S. Klement'yev, A. A. Kalinin, O. V. Kuzovleva, I. V. Minaev, A. N. Chukanov, D. V. Malii, P. N. Medvedev, Yu. S. Dorokhin, N. M. Dobrovol'skii, N. N. Dobrovol'skii
405–420


© Steklov Math. Inst. of RAS, 2025