Edit Profile (opens in new tab) Trynin, Aleksandr Yur’evich Co-Author Distance Author ID: trynin.aleksandr-yurevich Published as: Trynin, A. Yu.; Trynin, Aleksandr Yur’evich; Trynin, A. Yu more...less External Links: ORCID · Math-Net.Ru Documents Indexed: 30 Publications since 2000 Co-Authors: 3 Co-Authors with 3 Joint Publications Co-Authors 27 single-authored 2 Sklyarov, V. P. 1 Bulanova, A. V. 1 Kireeva, Ekaterina Dmitrievna all top 5 Serials 5 Russian Mathematics 5 Journal of Mathematical Sciences (New York) 3 Ufimskiĭ Matematicheskiĭ Zhurnal 2 Computational Mathematics and Mathematical Physics 2 St. Petersburg Mathematical Journal 2 Sbornik: Mathematics 2 Izvestiya: Mathematics 2 Vladikavkazskiĭ Matematicheskiĭ Zhurnal 2 Izvestiya Saratovskogo Universiteta. Novaya Seriya. Seriya Matematika, Mekhanika, Informatika 1 Indian Journal of Pure & Applied Mathematics 1 Siberian Mathematical Journal 1 Sibirskiĭ Matematicheskiĭ Zhurnal 1 Sibirskiĭ Zhurnal Industrial’noĭ Matematiki 1 Sampling Theory in Signal and Image Processing all top 5 Fields 21 Approximations and expansions (41-XX) 7 Ordinary differential equations (34-XX) 5 Harmonic analysis on Euclidean spaces (42-XX) 3 Numerical analysis (65-XX) 3 Information and communication theory, circuits (94-XX) 2 Real functions (26-XX) 2 Partial differential equations (35-XX) 1 Functions of a complex variable (30-XX) 1 Operator theory (47-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 23 Publications have been cited 176 times in 26 Documents Cited by ▼ Year ▼ A generalization of the Whittaker-Kotel’nikov-Shannon sampling theorem for continuous functions on a closed interval. Zbl 1194.41012Trynin, A. Yu 16 2009 A criterion for the uniform convergence of sinc-approximations on a segment. Zbl 1210.42003Trynin, A. Yu. 15 2008 Error of sinc approximation of analytic functions on an interval. Zbl 1182.65020Trynin, A. Yu.; Sklyarov, V. P. 14 2008 Tests for pointwise and uniform convergence of sinc approximations of continuous functions on a closed interval. Zbl 1138.41001Trynin, A. Yu 13 2007 On divergence of sinc-approximations everywhere on \((0,\pi)\). Zbl 1227.42003Trynin, A. Yu. 13 2011 Absence of stability of interpolation with respect to eigenfunctions of the Sturm-Liouville problem. Zbl 1004.41010Trynin, A. Yu. 13 2000 The divergence of Lagrange interpolation processes in eigenfunctions of the Sturm-Liouville problem. Zbl 1238.94020Trynin, A. Yu. 12 2010 Estimates for the Lebesgue functions and the Nevai formula for the sinc-approximations of continuous functions on an interval. Zbl 1164.41307Trynin, A. Yu. 12 2007 Approximation of continuous on a segment functions with the help of linear combinations of sincs. Zbl 1346.42004Trynin, A. Yu. 11 2016 On operators of interpolation with respect to solutions of a Cauchy problem and Lagrange-Jacobi polynomials. Zbl 1236.41003Trynin, A. Yu 10 2011 On necessary and sufficient conditions for convergence of sinc-approximations. Zbl 1347.41020Trynin, A. Yu. 7 2016 Asymptotic behavior of the solutions and nodal points of Sturm-Liouville differential expressions. Zbl 1208.34030Trynin, A. Yu. 7 2010 Differential properties of zeros of eigenfunctions of the Sturm-Liouville problem. Zbl 1249.34095Trynin, A. Yu. 7 2011 Necessary and sufficient conditions for the uniform on a segment sinc-approximations functions of bounded variation. Zbl 1355.42001Trynin, A. Yu. 4 2016 Sufficient condition for convergence of Lagrange-Sturm-Liouville processes in terms of one-sided modulus of continuity. Zbl 1416.41004Trynin, A. Yu. 4 2018 A criterion of convergence of Lagrange-Sturm-Liouville processes in terms of one-sided module of variation. Zbl 1400.41004Trynin, A. Yu. 4 2018 On some properties of sinc approximations of continuous functions on the interval. Zbl 1474.41034Trynin, Aleksandr Yur’evich 3 2015 Error estimate for uniform approximation by Lagrange-Sturm-Liouville processes. Zbl 1448.41014Trynin, A. Yu. 3 2020 Uniform convergence of Lagrange-Sturm-Liouville processes on one functional class. Zbl 1463.41009Trynin, 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 1466.41002Trynin, A. Yu. 2 2020 Convergence of the Lagrange-Sturm-Liouville processes for continuous functions of bounded variation. Zbl 1463.41008Trynin, Aleksandr Yur’evich 2 2018 Lagrange-Sturm-Liouville processes. Zbl 1491.41001Trynin, A. Yu. 1 2022 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 1454.41001Trynin, Aleksandr Yur’evich; Kireeva, Ekaterina Dmitrievna 1 2020 Lagrange-Sturm-Liouville processes. Zbl 1491.41001Trynin, A. Yu. 1 2022 Error estimate for uniform approximation by Lagrange-Sturm-Liouville processes. Zbl 1448.41014Trynin, A. Yu. 3 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 1466.41002Trynin, 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 1454.41001Trynin, 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 1416.41004Trynin, A. Yu. 4 2018 A criterion of convergence of Lagrange-Sturm-Liouville processes in terms of one-sided module of variation. Zbl 1400.41004Trynin, A. Yu. 4 2018 Uniform convergence of Lagrange-Sturm-Liouville processes on one functional class. Zbl 1463.41009Trynin, Aleksandr Yur’evich 2 2018 Convergence of the Lagrange-Sturm-Liouville processes for continuous functions of bounded variation. Zbl 1463.41008Trynin, Aleksandr Yur’evich 2 2018 Approximation of continuous on a segment functions with the help of linear combinations of sincs. Zbl 1346.42004Trynin, A. Yu. 11 2016 On necessary and sufficient conditions for convergence of sinc-approximations. Zbl 1347.41020Trynin, A. Yu. 7 2016 Necessary and sufficient conditions for the uniform on a segment sinc-approximations functions of bounded variation. Zbl 1355.42001Trynin, A. Yu. 4 2016 On some properties of sinc approximations of continuous functions on the interval. Zbl 1474.41034Trynin, Aleksandr Yur’evich 3 2015 On divergence of sinc-approximations everywhere on \((0,\pi)\). Zbl 1227.42003Trynin, A. Yu. 13 2011 On operators of interpolation with respect to solutions of a Cauchy problem and Lagrange-Jacobi polynomials. Zbl 1236.41003Trynin, A. Yu 10 2011 Differential properties of zeros of eigenfunctions of the Sturm-Liouville problem. Zbl 1249.34095Trynin, A. Yu. 7 2011 The divergence of Lagrange interpolation processes in eigenfunctions of the Sturm-Liouville problem. Zbl 1238.94020Trynin, A. Yu. 12 2010 Asymptotic behavior of the solutions and nodal points of Sturm-Liouville differential expressions. Zbl 1208.34030Trynin, A. Yu. 7 2010 A generalization of the Whittaker-Kotel’nikov-Shannon sampling theorem for continuous functions on a closed interval. Zbl 1194.41012Trynin, A. Yu 16 2009 A criterion for the uniform convergence of sinc-approximations on a segment. Zbl 1210.42003Trynin, A. Yu. 15 2008 Error of sinc approximation of analytic functions on an interval. Zbl 1182.65020Trynin, A. Yu.; Sklyarov, V. P. 14 2008 Tests for pointwise and uniform convergence of sinc approximations of continuous functions on a closed interval. Zbl 1138.41001Trynin, A. Yu 13 2007 Estimates for the Lebesgue functions and the Nevai formula for the sinc-approximations of continuous functions on an interval. Zbl 1164.41307Trynin, A. Yu. 12 2007 Absence of stability of interpolation with respect to eigenfunctions of the Sturm-Liouville problem. Zbl 1004.41010Trynin, A. Yu. 13 2000 all cited Publications top 5 cited Publications all top 5 Cited by 15 Authors 19 Trynin, Aleksandr Yur’evich 2 Krivoshein, Aleksandr Vladimirovich 2 Skopina, Maria A. 1 Coroianu, Lucian C. 1 Costarelli, Danilo 1 D’yachenko, Mikhaĭl Ivanovich 1 Gal, Sorin Gheorghe 1 Kireeva, Ekaterina Dmitrievna 1 Mohsen, Adel A. K. 1 Nursultanov, Erlan D. 1 Shakirov, Iskander Asgatovich 1 Sharapudinov, Idris Idrisovich 1 Tikhonov, Sergey Yur’evich 1 Umakhanov, Aĭvar Yarakhmedovich 1 Vinti, Gianluca all top 5 Cited in 15 Serials 5 Journal of Mathematical Sciences (New York) 3 Russian Mathematics 2 Computational Mathematics and Mathematical Physics 2 St. Petersburg Mathematical Journal 2 Vladikavkazskiĭ Matematicheskiĭ Zhurnal 2 Ufimskiĭ Matematicheskiĭ Zhurnal 2 Izvestiya Saratovskogo Universiteta. Novaya Seriya. Seriya Matematika, Mekhanika, Informatika 1 Applied Mathematics and Computation 1 Demonstratio Mathematica 1 Journal of Computational and Applied Mathematics 1 Siberian Mathematical Journal 1 Bulletin des Sciences Mathématiques 1 Izvestiya: Mathematics 1 Sibirskiĭ Zhurnal Industrial’noĭ Matematiki 1 Analysis and Applications (Singapore) all top 5 Cited in 6 Fields 21 Approximations and expansions (41-XX) 7 Harmonic analysis on Euclidean spaces (42-XX) 5 Information and communication theory, circuits (94-XX) 3 Ordinary differential equations (34-XX) 2 Partial differential equations (35-XX) 2 Numerical analysis (65-XX) Citations by Year