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Trynin, Aleksandr Yur’evich

Author ID: trynin.aleksandr-yurevich Recent zbMATH articles by "Trynin, Aleksandr Yur’evich"
Published as: Trynin, A. Yu.; Trynin, Aleksandr Yur’evich; Trynin, A. Yu; Trynin, Alexandr Yu.
External Links: ORCID · Math-Net.Ru
Documents Indexed: 31 Publications since 2000
Co-Authors: 3 Co-Authors with 3 Joint Publications

Publications by Year

Citations contained in zbMATH Open

23 Publications have been cited 185 times in 27 Documents Cited by Year
A generalization of the Whittaker-Kotel’nikov-Shannon sampling theorem for continuous functions on a closed interval. Zbl 1194.41012
Trynin, A. Yu
18
2009
A criterion for the uniform convergence of sinc-approximations on a segment. Zbl 1210.42003
Trynin, A. Yu.
16
2008
Tests for pointwise and uniform convergence of sinc approximations of continuous functions on a closed interval. Zbl 1138.41001
Trynin, A. Yu
14
2007
On divergence of sinc-approximations everywhere on \((0,\pi)\). Zbl 1227.42003
Trynin, A. Yu.
14
2011
Error of sinc approximation of analytic functions on an interval. Zbl 1182.65020
Trynin, A. Yu.; Sklyarov, V. P.
14
2008
Absence of stability of interpolation with respect to eigenfunctions of the Sturm-Liouville problem. Zbl 1004.41010
Trynin, A. Yu.
13
2000
Estimates for the Lebesgue functions and the Nevai formula for the sinc-approximations of continuous functions on an interval. Zbl 1164.41307
Trynin, A. Yu.
13
2007
The divergence of Lagrange interpolation processes in eigenfunctions of the Sturm-Liouville problem. Zbl 1238.94020
Trynin, A. Yu.
12
2010
Approximation of continuous on a segment functions with the help of linear combinations of sincs. Zbl 1346.42004
Trynin, A. Yu.
11
2016
On operators of interpolation with respect to solutions of a Cauchy problem and Lagrange-Jacobi polynomials. Zbl 1236.41003
Trynin, A. Yu
10
2011
On necessary and sufficient conditions for convergence of sinc-approximations. Zbl 1347.41020
Trynin, A. Yu.
8
2016
Asymptotic behavior of the solutions and nodal points of Sturm-Liouville differential expressions. Zbl 1208.34030
Trynin, A. Yu.
8
2010
Differential properties of zeros of eigenfunctions of the Sturm-Liouville problem. Zbl 1249.34095
Trynin, A. Yu.
7
2011
Necessary and sufficient conditions for the uniform on a segment sinc-approximations functions of bounded variation. Zbl 1355.42001
Trynin, A. Yu.
4
2016
Sufficient condition for convergence of Lagrange-Sturm-Liouville processes in terms of one-sided modulus of continuity. Zbl 1416.41004
Trynin, A. Yu.
4
2018
Error estimate for uniform approximation by Lagrange-Sturm-Liouville processes. Zbl 1448.41014
Trynin, A. Yu.
4
2020
A criterion of convergence of Lagrange-Sturm-Liouville processes in terms of one-sided module of variation. Zbl 1400.41004
Trynin, A. Yu.
4
2018
On some properties of sinc approximations of continuous functions on the interval. Zbl 1474.41034
Trynin, Aleksandr Yur’evich
3
2015
Uniform convergence of Lagrange-Sturm-Liouville processes on one functional class. Zbl 1463.41009
Trynin, Aleksandr Yur’evich
2
2018
On the uniform approximation of functions of bounded variation by Lagrange interpolation polynomials with a matrix \({\mathcal L}_n^{(\alpha_n,\beta_n)}\) of Jacobi nodes. Zbl 1466.41002
Trynin, A. Yu.
2
2020
Convergence of the Lagrange-Sturm-Liouville processes for continuous functions of bounded variation. Zbl 1463.41008
Trynin, Aleksandr Yur’evich
2
2018
The principle of localization in the class of Riemann integrable functions for the processes of Lagrange-Sturm-Liouville. (The principle of localization at the class of functions integrable in the Riemann for the processes of Lagrange-Sturm-Liouville.) Zbl 1454.41001
Trynin, Aleksandr Yur’evich; Kireeva, Ekaterina Dmitrievna
1
2020
Lagrange-Sturm-Liouville processes. Zbl 1491.41001
Trynin, A. Yu.
1
2022
Lagrange-Sturm-Liouville processes. Zbl 1491.41001
Trynin, A. Yu.
1
2022
Error estimate for uniform approximation by Lagrange-Sturm-Liouville processes. Zbl 1448.41014
Trynin, A. Yu.
4
2020
On the uniform approximation of functions of bounded variation by Lagrange interpolation polynomials with a matrix \({\mathcal L}_n^{(\alpha_n,\beta_n)}\) of Jacobi nodes. Zbl 1466.41002
Trynin, A. Yu.
2
2020
The principle of localization in the class of Riemann integrable functions for the processes of Lagrange-Sturm-Liouville. (The principle of localization at the class of functions integrable in the Riemann for the processes of Lagrange-Sturm-Liouville.) Zbl 1454.41001
Trynin, Aleksandr Yur’evich; Kireeva, Ekaterina Dmitrievna
1
2020
Sufficient condition for convergence of Lagrange-Sturm-Liouville processes in terms of one-sided modulus of continuity. Zbl 1416.41004
Trynin, A. Yu.
4
2018
A criterion of convergence of Lagrange-Sturm-Liouville processes in terms of one-sided module of variation. Zbl 1400.41004
Trynin, A. Yu.
4
2018
Uniform convergence of Lagrange-Sturm-Liouville processes on one functional class. Zbl 1463.41009
Trynin, Aleksandr Yur’evich
2
2018
Convergence of the Lagrange-Sturm-Liouville processes for continuous functions of bounded variation. Zbl 1463.41008
Trynin, Aleksandr Yur’evich
2
2018
Approximation of continuous on a segment functions with the help of linear combinations of sincs. Zbl 1346.42004
Trynin, A. Yu.
11
2016
On necessary and sufficient conditions for convergence of sinc-approximations. Zbl 1347.41020
Trynin, A. Yu.
8
2016
Necessary and sufficient conditions for the uniform on a segment sinc-approximations functions of bounded variation. Zbl 1355.42001
Trynin, A. Yu.
4
2016
On some properties of sinc approximations of continuous functions on the interval. Zbl 1474.41034
Trynin, Aleksandr Yur’evich
3
2015
On divergence of sinc-approximations everywhere on \((0,\pi)\). Zbl 1227.42003
Trynin, A. Yu.
14
2011
On operators of interpolation with respect to solutions of a Cauchy problem and Lagrange-Jacobi polynomials. Zbl 1236.41003
Trynin, A. Yu
10
2011
Differential properties of zeros of eigenfunctions of the Sturm-Liouville problem. Zbl 1249.34095
Trynin, A. Yu.
7
2011
The divergence of Lagrange interpolation processes in eigenfunctions of the Sturm-Liouville problem. Zbl 1238.94020
Trynin, A. Yu.
12
2010
Asymptotic behavior of the solutions and nodal points of Sturm-Liouville differential expressions. Zbl 1208.34030
Trynin, A. Yu.
8
2010
A generalization of the Whittaker-Kotel’nikov-Shannon sampling theorem for continuous functions on a closed interval. Zbl 1194.41012
Trynin, A. Yu
18
2009
A criterion for the uniform convergence of sinc-approximations on a segment. Zbl 1210.42003
Trynin, A. Yu.
16
2008
Error of sinc approximation of analytic functions on an interval. Zbl 1182.65020
Trynin, A. Yu.; Sklyarov, V. P.
14
2008
Tests for pointwise and uniform convergence of sinc approximations of continuous functions on a closed interval. Zbl 1138.41001
Trynin, A. Yu
14
2007
Estimates for the Lebesgue functions and the Nevai formula for the sinc-approximations of continuous functions on an interval. Zbl 1164.41307
Trynin, A. Yu.
13
2007
Absence of stability of interpolation with respect to eigenfunctions of the Sturm-Liouville problem. Zbl 1004.41010
Trynin, A. Yu.
13
2000

Citations by Year