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Publications in Math-Net.Ru
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Equivalence of computed tomography problem with the problem of recovery of functions by finite convolutions in a scheme of computational (numerical) diameter
Izv. Vyssh. Uchebn. Zaved. Mat., 2023, no. 12, 95–102
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Large-scale equivalence of norms of Radon transform and initial function
Izv. Vyssh. Uchebn. Zaved. Mat., 2023, no. 8, 87–92
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Formulas for approximate calculation of the Chebyshev coefficients
Izv. Vyssh. Uchebn. Zaved. Mat., 2021, no. 2, 79–85
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The Radon transform in the scheme C(N)D-inverstigations and the quasi-Monte Carlo theory
Izv. Vyssh. Uchebn. Zaved. Mat., 2020, no. 3, 98–104
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Orderly exact calculation of integrals of products of functions by the method of tenzor products of functionals
Izv. Vyssh. Uchebn. Zaved. Mat., 2019, no. 11, 94–99
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Computational (Numerical) diameter in a context of general theory of a recovery
Izv. Vyssh. Uchebn. Zaved. Mat., 2019, no. 1, 89–97
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Theory of Radon Transform in the Concept of Computational (Numerical) Diameter and Methods of the Quasi-Monte Carlo Theory
BULLETIN of the L.N. Gumilyov Eurasian National University. MATHEMATICS.COMPUTER SCIENCE. MECHANICS Series, 129:4 (2019), 89–135
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Theory of Radon Transform in the Concept of Computational (Numerical) Diameter and Methods of the Quasi-Monte Carlo Theory
BULLETIN of the L.N. Gumilyov Eurasian National University. MATHEMATICS.COMPUTER SCIENCE. MECHANICS Series, 129:4 (2019), 8–53
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The concept of S.M.Voronin in the problem of comparisons of deterministic and random computation in the same terms
BULLETIN of the L.N. Gumilyov Eurasian National University. MATHEMATICS.COMPUTER SCIENCE. MECHANICS Series, 128:3 (2019), 8–33
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Transformation and Absolute Convergence of Trigonometric Fourier Series
BULLETIN of the L.N. Gumilyov Eurasian National University. MATHEMATICS.COMPUTER SCIENCE. MECHANICS Series, 127:2 (2019), 8–26
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Discretization of solutions of partial differential equations in the context of the Computational (numerical) diameter
BULLETIN of the L.N. Gumilyov Eurasian National University. MATHEMATICS.COMPUTER SCIENCE. MECHANICS Series, 126:1 (2019), 8–51
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On some special effects in theory on numerical integration and functions recovery
Izv. Vyssh. Uchebn. Zaved. Mat., 2018, no. 3, 96–102
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Embedding and Approximation Theories in the Context of Computational (Numerical) Diameter and Internal Problems of the Theory of Functions
BULLETIN of the L.N. Gumilyov Eurasian National University. MATHEMATICS.COMPUTER SCIENCE. MECHANICS Series, 125:4 (2018), 8–68
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Approximation Theory, Computational Mathematics and Numerical Analysis in new conception of Computational (Numerical) Diameter
BULLETIN of the L.N. Gumilyov Eurasian National University. MATHEMATICS.COMPUTER SCIENCE. MECHANICS Series, 124:3 (2018), 8–88
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Order estimates of the norms of derivatives of functions with zero values on linear functionals and their applications
Izv. Vyssh. Uchebn. Zaved. Mat., 2017, no. 3, 89–95
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“Geometry of numbers” in a context of algebraic theory of numbers
Izv. Vyssh. Uchebn. Zaved. Mat., 2016, no. 10, 92–97
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Rapid “algebraic” Fourier transforms on uniformly distributed meshes
Izv. Vyssh. Uchebn. Zaved. Mat., 2016, no. 5, 93–98
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A criterion for embedding of anisotropic Sobolev–Morrey spaces into the space of uniformly continuous functions
Sibirsk. Mat. Zh., 57:5 (2016), 1156–1170
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Approximative possibilities of computational aggregates of the “Smolyak type” with Dirichlet, Fejer and Vallée-Poussin kernels in the scale of Ul'yanov classes
Izv. Vyssh. Uchebn. Zaved. Mat., 2015, no. 7, 75–81
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Criteria of embedding of classes of Morrey type
Izv. Vyssh. Uchebn. Zaved. Mat., 2015, no. 5, 80–85
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Informative cardinality of trigonometric Fourier coefficients and their limiting error in the discretization of a differentiation operator in multidimensional Sobolev classes
Zh. Vychisl. Mat. Mat. Fiz., 55:9 (2015), 1474–1485
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General algorithm for the numerical integration of functions of several variables
Zh. Vychisl. Mat. Mat. Fiz., 54:7 (2014), 1059–1077
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Discretization of solutions to a wave equation, numerical differentiation, and function reconstruction for a computer (computing) diameter
Izv. Vyssh. Uchebn. Zaved. Mat., 2013, no. 8, 86–93
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Exact Orders of Computational (Numerical) Diameters in Problems of Reconstructing Functions and Sampling Solutions of the Klein–Gordon Equation from Fourier Coefficients
Sovrem. Probl. Mat., 17 (2013), 179–207
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On the Discretization of Solutions of the Wave Equation with Initial Conditions from Generalized Sobolev Classes
Mat. Zametki, 91:3 (2012), 459–463
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Applications of Smolyak quadrature formulas to the numerical integration of Fourier coefficients and in function recovery problems
Izv. Vyssh. Uchebn. Zaved. Mat., 2010, no. 3, 52–71
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On an Algorithm for Constructing Uniformly Distributed Korobov Grids
Mat. Zametki, 87:6 (2010), 948–950
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An application of tensor products of functionals in problems of numerical integration
Izv. RAN. Ser. Mat., 73:2 (2009), 183–224
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On the Order of Discrepancy of the Smolyak Grid
Mat. Zametki, 85:6 (2009), 947–950
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Application of divisor theory to the construction of tables of optimal coefficients for quadrature formulas
Zh. Vychisl. Mat. Mat. Fiz., 49:1 (2009), 14–25
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Informativeness of all the linear functionals in the recovery of
functions in the classes $H_p^\omega$
Mat. Sb., 198:11 (2007), 3–20
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Discretization of the solutions to Poisson's equation
Zh. Vychisl. Mat. Mat. Fiz., 46:9 (2006), 1594–1604
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Informativeness of Linear Functionals
Mat. Zametki, 73:6 (2003), 803–812
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Efficiency of numerical integration algorithms related to divisor theory in cyclotomic fields
Mat. Zametki, 61:2 (1997), 297–301
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On the construction of probability measures of functional classes
Trudy Mat. Inst. Steklova, 218 (1997), 397–402
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Application of the theory of divisors to the approximate
reconstruction and integration of periodic functions in several
variables
Dokl. Akad. Nauk SSSR, 310:5 (1990), 1050–1054
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Mean-square errors for numerical integration algorithms that are connected with the theory of divisors in cyclotomic fields
Izv. Vyssh. Uchebn. Zaved. Mat., 1990, no. 8, 90–93
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Application of the divisors theory to numerical integration of periodic functions in several variables
Mat. Sb., 181:4 (1990), 490–505
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Quadrature formulas associated with divisors of the field of Gaussian numbers
Mat. Zametki, 46:2 (1989), 34–41
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Application of Banach measure to quadrature formulas
Mat. Zametki, 39:1 (1986), 52–59
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Imbedding of classes $H_p^\omega$ in Lorentz spaces
Sibirsk. Mat. Zh., 24:2 (1983), 160–172
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Embedding in some Lorentz spaces
Izv. Vyssh. Uchebn. Zaved. Mat., 1980, no. 6, 83–85
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Imbedding of certain classes of functions in $C([0,2\pi]^m)$
Izv. Vyssh. Uchebn. Zaved. Mat., 1978, no. 8, 88–90
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The inclusion of certain classes of functions
Mat. Zametki, 20:6 (1976), 835–841
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A certain embedding theorem
Izv. Vyssh. Uchebn. Zaved. Mat., 1973, no. 7, 103–111
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Conditions under which higher derivatives belong to the classes $\varphi(L)$
Mat. Zametki, 14:4 (1973), 479–486
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A connection between inclusion theorems and the uniform convergence of multiple Fourier series
Mat. Zametki, 12:2 (1972), 139–148
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Leonid Aleksandrovich Aksent'ev
Izv. Vyssh. Uchebn. Zaved. Mat., 2021, no. 3, 98–100
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Introdaction of the Editor-in-Ñhief of the journal "The Bulletin of the L.N. Gumilyov Eurasian National University. Mathematics. Computer Science. Mechanics series" about the issue purposes and the ways of its implementation
BULLETIN of the L.N. Gumilyov Eurasian National University. MATHEMATICS.COMPUTER SCIENCE. MECHANICS Series, 122:1 (2018), 8–69
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