Trynin Alexandr Yurevich

Publications in Math-Net.Ru

1. On one method for solving a mixed boundary value problem for a parabolic type equation using operators $\mathbb{AT}_{\lambda,j}$
   
   Izv. Vyssh. Uchebn. Zaved. Mat., 2024, no. 2,  59–80
2. A method for solution of a mixed boundary value problem for a hyperbolic type equation using the operators $\mathbb{AT}_{\lambda,j}$
   
   Izv. RAN. Ser. Mat., 87:6 (2023),  121–149
3. On the best polynomials approximation of segment functions
   
   Vladikavkaz. Mat. Zh., 25:1 (2023),  105–111
4. On a method for solving a mixed boundary value problem for a parabolic equation using modified sinc-approximation operators
   
   Zh. Vychisl. Mat. Mat. Fiz., 63:7 (2023),  1156–1176
5. On the convergence of generalizations of the sinc approximations on the Privalov–Chanturia class
   
   Sib. Zh. Ind. Mat., 24:3 (2021),  122–137
6. 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
   
   Izv. RAN. Ser. Mat., 84:6 (2020),  197–222
7. The principle of localization at the class of functions integrable in the Riemann for the processes of Lagrange–Sturm–Liouville
   
   Izv. Saratov Univ. Math. Mech. Inform., 20:1 (2020),  51–63
8. A criterion of convergence of Lagrange–Sturm–Liouville processes in terms of one-sided modulus of variation
   
   Izv. Vyssh. Uchebn. Zaved. Mat., 2018, no. 8,  61–74
9. Uniform convergence of Lagrange–Sturm–Liouville processes on one functional class
   
   Ufimsk. Mat. Zh., 10:2 (2018),  93–108
10. Convergence of the Lagrange–Sturm–Liouville processes for continuous functions of bounded variation
    
    Vladikavkaz. Mat. Zh., 20:4 (2018),  76–91
11. Sufficient condition for convergence of Lagrange–Sturm–Liouville processes in terms of one-sided modulus of continuity
    
    Zh. Vychisl. Mat. Mat. Fiz., 58:11 (2018),  1780–1793
12. Necessary and sufficient conditions for the uniform on a segment sinc-approximations functions of bounded variation
    
    Izv. Saratov Univ. Math. Mech. Inform., 16:3 (2016),  288–298
13. Approximation of continuous on a segment functions with the help of linear combinations of sincs
    
    Izv. Vyssh. Uchebn. Zaved. Mat., 2016, no. 3,  72–81
14. On necessary and sufficient conditions for convergence of sinc-approximations
    
    Algebra i Analiz, 27:5 (2015),  170–194
15. On some properties of sinc approximations of continuous functions on the interval
    
    Ufimsk. Mat. Zh., 7:4 (2015),  116–132
16. On inverse nodal problem for Sturm-Liouville operator
    
    Ufimsk. Mat. Zh., 5:4 (2013),  116–129
17. On operators of interpolation with respect to solutions of a Cauchy problem and Lagrange–Jacobi polynomials
    
    Izv. RAN. Ser. Mat., 75:6 (2011),  129–162
18. Differential properties of zeros of eigenfunctions of the Sturm–Liouville problem
    
    Ufimsk. Mat. Zh., 3:4 (2011),  133–143
19. On divergence of sinc-approximations everywhere on $(0,\pi)$
    
    Algebra i Analiz, 22:4 (2010),  232–256
20. The divergence of Lagrange interpolation processes in eigenfunctions of the Sturm–Liouville problem
    
    Izv. Vyssh. Uchebn. Zaved. Mat., 2010, no. 11,  74–85
21. Asymptotic behavior of the solutions and nodal points of Sturm–Liouville differential expressions
    
    Sibirsk. Mat. Zh., 51:3 (2010),  662–675
22. A generalization of the Whittaker-Kotel'nikov-Shannon sampling theorem for continuous functions on a closed interval
    
    Mat. Sb., 200:11 (2009),  61–108
23. A criterion for the uniform convergence of sinc-approximations on a segment
    
    Izv. Vyssh. Uchebn. Zaved. Mat., 2008, no. 6,  66–78
24. Tests for pointwise and uniform convergence of sinc approximations of continuous functions on a closed interval
    
    Mat. Sb., 198:10 (2007),  141–158
25. Estimates for the Lebesgue functions and the Nevai formula for the $sinc$-approximations of continuous functions on an interval
    
    Sibirsk. Mat. Zh., 48:5 (2007),  1155–1166
26. On the absence of stability of interpolation in eigenfunctions of the Sturm–Liouville problem
    
    Izv. Vyssh. Uchebn. Zaved. Mat., 2000, no. 9,  60–73