Sharapudinov Idris Idrisovich

Publications in Math-Net.Ru

1. Sobolev-orthogonal systems of functions and the Cauchy problem for ODEs
   
   Izv. RAN. Ser. Mat., 83:2 (2019),  204–226
2. The Basis Property of Ultraspherical Jacobi Polynomials in a Weighted Lebesgue Space with Variable Exponent
   
   Mat. Zametki, 106:4 (2019),  595–621
3. Sobolev-orthogonal systems of functions and some of their applications
   
   Uspekhi Mat. Nauk, 74:4(448) (2019),  87–164
4. Approximation properties of repeated de la Vallée-Poussin means for piecewise smooth functions
   
   Sibirsk. Mat. Zh., 60:3 (2019),  695–713
5. Sobolev orthogonal polynomials generated by modified Laguerre polynomials and the Cauchy problem for ODE systems
   
   Daghestan Electronic Mathematical Reports, 2018, no. 10,  23–40
6. On the existence and uniqueness of solutions of ODEs with discontinuous right-hand sides and Sobolev orthogonal systems of functions
   
   Daghestan Electronic Mathematical Reports, 2018, no. 9,  68–75
7. An approximate solution of the Cauchy problem for an ODE system by means of system $1,\, x,\, \{\frac{\sqrt{2}}{\pi n}\sin(\pi nx)\}_{n=1}^\infty$
   
   Daghestan Electronic Mathematical Reports, 2018, no. 9,  33–51
8. Sobolev-orthogonal systems of functions associated with an orthogonal system
   
   Izv. RAN. Ser. Mat., 82:1 (2018),  225–258
9. Polynomials orthogonal with respect to Sobolev type inner product generated by Charlier polynomials
   
   Izv. Saratov Univ. Math. Mech. Inform., 18:2 (2018),  196–205
10. On Vallée-Poissin means for special series with respect to ultraspherical Jacobi polynomials with sticking partial sums
    
    Izv. Vyssh. Uchebn. Zaved. Mat., 2018, no. 9,  68–80
11. Sobolev orthogonal polynomials generated by Jacobi and Legendre polynomials, and special series with the sticking property for their partial sums
    
    Mat. Sb., 209:9 (2018),  142–170
12. Overlapping transformations for approximation of continuous functions by means of repeated mean Valle Poussin
    
    Daghestan Electronic Mathematical Reports, 2017, no. 8,  70–92
13. A numerical method for solving the Cauchy problem for systems of ordinary differential equations by means of a system orthogonal in the sense of Sobolev generated by the cosine system
    
    Daghestan Electronic Mathematical Reports, 2017, no. 8,  53–60
14. Convergence of Fourier series in Jacobi polynomials in weighted Lebesgue space with variable exponent
    
    Daghestan Electronic Mathematical Reports, 2017, no. 8,  27–47
15. The inversion of the Laplace transform by means of generalized special series of Laguerre polynomials
    
    Daghestan Electronic Mathematical Reports, 2017, no. 8,  7–20
16. Approximation of the solution of the Cauchy problem for nonlinear ODE systems by means of Fourier series in functions orthogonal in the sense of Sobolev
    
    Daghestan Electronic Mathematical Reports, 2017, no. 7,  66–76
17. Sobolev orthogonal functions on the grid, generated by discrete orthogonal functions and the Cauchy problem for the difference equation
    
    Daghestan Electronic Mathematical Reports, 2017, no. 7,  29–39
18. Systems of functions orthogonal in the sense of Sobolev associated with Haar functions and the Cauchy problem for ODEs
    
    Daghestan Electronic Mathematical Reports, 2017, no. 7,  1–15
19. Polynomials orthogonal in the Sobolev sense, generated by Chebyshev polynomials orthogornal on a mesh
    
    Izv. Vyssh. Uchebn. Zaved. Mat., 2017, no. 8,  67–79
20. Approximation Properties of Fourier Series of Sobolev Orthogonal Polynomials with Jacobi Weight and Discrete Masses
    
    Mat. Zametki, 101:4 (2017),  611–629
21. Special series in Laguerre polynomials and their approximation properties
    
    Sibirsk. Mat. Zh., 58:2 (2017),  440–467
22. Difference equations and Sobolev orthogonal polynomials, generated by Meixner polynomials
    
    Vladikavkaz. Mat. Zh., 19:2 (2017),  58–72
23. Systems of functions orthogonal with respect to scalar products of Sobolev type with discrete masses generated by classical orthogonal systems
    
    Daghestan Electronic Mathematical Reports, 2016, no. 6,  31–60
24. Asymptotic properties of polynomials, orthogonal in Sobolev sence and associated with the Jacobi polynomials
    
    Daghestan Electronic Mathematical Reports, 2016, no. 6,  1–24
25. Polynomials, orthogonal on Sobolev, derived by the Chebyshev polynomials, orthogonal on the uniform net
    
    Daghestan Electronic Mathematical Reports, 2016, no. 5,  56–75
26. Sobolev orthogonal polynomials generated by Meixner polynomials
    
    Izv. Saratov Univ. Math. Mech. Inform., 16:3 (2016),  310–321
27. Approximation of functions in variable-exponent Lebesgue and Sobolev spaces by de la Vallée-Poussin means
    
    Mat. Sb., 207:7 (2016),  131–158
28. Interpolation of functions by the Whittaker sums and their modifications: conditions for uniform convergence
    
    Vladikavkaz. Mat. Zh., 18:4 (2016),  61–70
29. On the simultaneous approximation of functions and their derivatives by Chebyshev polynomials orthogonal on uniform grid
    
    Daghestan Electronic Mathematical Reports, 2015, no. 4,  74–117
30. Some special series by general Laguerre polynomials and Fourier series by Laguerre polynomials, orthogonal in Sobolev sense
    
    Daghestan Electronic Mathematical Reports, 2015, no. 4,  31–73
31. Sobolev orthogonal polynomials, associated with the Chebyshev polynomials of the first kind
    
    Daghestan Electronic Mathematical Reports, 2015, no. 4,  1–14
32. Mixed series by classical orthogonal polynomials
    
    Daghestan Electronic Mathematical Reports, 2015, no. 3,  1–254
33. Approximation properties of Fejér- and de la Valleé-Poussin-type means for partial sums of a special series in the system $\{\sin x\sin kx\}_{k=1}^\infty$
    
    Mat. Sb., 206:4 (2015),  131–148
34. On the identification of the parameters of linear systems using Chebyshev polynomials of the first kind and Chebyshev polynomials orthogonal on a uniform grid
    
    Daghestan Electronic Mathematical Reports, 2014, no. 2,  1–32
35. Polynomials, orthogonal on grids from unit circle and number axis
    
    Daghestan Electronic Mathematical Reports, 2014, no. 1,  1–55
36. Some special series in ultraspherical polynomials and their approximation properties
    
    Izv. RAN. Ser. Mat., 78:5 (2014),  201–224
37. Discrete Transform with Stick Property Based on $\{\sin x\sin kx\}$ and Second Kind Chebyshev Polynomials Systems
    
    Izv. Saratov Univ. Math. Mech. Inform., 14:4(1) (2014),  413–422
38. Some Special Two-dimensional Series of $\{\sin x\sin kx\}$ System and Their Approximation Properties
    
    Izv. Saratov Univ. Math. Mech. Inform., 14:4(1) (2014),  407–412
39. Approximation of functions in variable-exponent Lebesgue and Sobolev spaces by finite Fourier-Haar series
    
    Mat. Sb., 205:2 (2014),  145–160
40. Approximation of functions in $L^{p(x)}_{2\pi}$ by trigonometric polynomials
    
    Izv. RAN. Ser. Mat., 77:2 (2013),  197–224
41. Approximation of Smooth Functions in $L^{p(x)}_{2\pi}$ by Vallee-Poussin Means
    
    Izv. Saratov Univ. Math. Mech. Inform., 13:1(1) (2013),  45–49
42. Limit Ultraspherical Series and Their Approximation Properties
    
    Mat. Zametki, 94:2 (2013),  295–309
43. Mixed Series of Jacobi and Chebyshev Polynomials and Their Discretization
    
    Mat. Zametki, 88:1 (2010),  116–147
44. Approximating smooth functions using algebraic-trigonometric polynomials
    
    Mat. Sb., 201:11 (2010),  137–160
45. Same properties $r$-fold integration series on Fourier–Haar system
    
    Izv. Saratov Univ. Math. Mech. Inform., 9:1 (2009),  68–76
46. The basis property of the Legendre polynomials in the variable exponent Lebesgue space $L^{p(x)}(-1,1)$
    
    Mat. Sb., 200:1 (2009),  137–160
47. Approximation Properties of the Vallée-Poussin Means of Partial Sums of a Mixed Series of Legendre Polynomials
    
    Mat. Zametki, 84:3 (2008),  452–471
48. Approximation properties of mixed series in terms of Legendre polynomials on the classes $W^r$
    
    Mat. Sb., 197:3 (2006),  135–154
49. Mixed Series of Chebyshev Polynomials Orthogonal on a Uniform Grid
    
    Mat. Zametki, 78:3 (2005),  442–465
50. Mixed series in ultraspherical polynomials and their approximation properties
    
    Mat. Sb., 194:3 (2003),  115–148
51. Approximation Properties of the Operators $\mathscr Y_{n+2r}(f)$ and of Their Discrete Analogs
    
    Mat. Zametki, 72:5 (2002),  765–795
52. Approximation of discrete functions, and Chebyshev polynomials orthogonal on a uniform grid
    
    Mat. Zametki, 67:3 (2000),  460–470
53. Approximation of functions of variable smoothness by Fourier–Legendre sums
    
    Mat. Sb., 191:5 (2000),  143–160
54. On a new application of Chebyshev polynomials orthogonal on a uniform grid
    
    Mat. Zametki, 64:6 (1998),  950–953
55. Asymptotics and weighted estimates of Meixner polynomials orthogonal on the grid $\{0,\delta,2\delta,\dots\}$
    
    Mat. Zametki, 62:4 (1997),  603–616
56. Estimating the $L_p$-norm of an algebraic polynomial in terms of its values at the nodes of a uniform grid
    
    Mat. Sb., 188:12 (1997),  135–156
57. Convergence of the Vallée–Poussin means for Fourier–Jacobi sums
    
    Mat. Zametki, 60:4 (1996),  569–586
58. Uniform boundedness in $L^p$ $(p=p(x))$ of some families of convolution operators
    
    Mat. Zametki, 59:2 (1996),  291–302
59. Boundedness in $C[-1,1]$ of the de la Vallée-Poussin means for discrete Chebyshev–Fourier sums
    
    Mat. Sb., 187:1 (1996),  143–160
60. On the convergence of the method of least squares
    
    Mat. Zametki, 53:3 (1993),  131–143
61. On the asymptotics of Chebyshev polynomials that are orthogonal on a finite system of points
    
    Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1992, no. 1,  29–35
62. Asymptotic properties and weighted estimates for Chebyshev–Hahn orthogonal polynomials
    
    Mat. Sb., 182:3 (1991),  408–420
63. Approximation properties of discrete Fourier sums
    
    Diskr. Mat., 2:2 (1990),  33–44
64. On the asymptotic behavior of Chebyshev orthogonal polynomials of a discrete variable
    
    Mat. Zametki, 48:6 (1990),  150–152
65. Some properties of Meixner orthogonal polynomials
    
    Mat. Zametki, 47:3 (1990),  135–137
66. Asymptotic properties of orthogonal Hahn polynomials in a discrete variable
    
    Mat. Sb., 180:9 (1989),  1259–1277
67. Asymptotic properties of Krawtchouk polynomials
    
    Mat. Zametki, 44:5 (1988),  682–693
68. Application of Meixner polynomials to approximate calculation of integrals
    
    Izv. Vyssh. Uchebn. Zaved. Mat., 1986, no. 2,  80–82
69. On the basis property of the Haar system in the space $\mathscr L^{p(t)}([0,1])$ and the principle of localization in the mean
    
    Mat. Sb. (N.S.), 130(172):2(6) (1986),  275–283
70. Asymptotic properties and weight estimates of Hahn polynomials
    
    Izv. Vyssh. Uchebn. Zaved. Mat., 1985, no. 5,  78–80
71. Some properties of polynomials, orthogonal on a finite system of points
    
    Izv. Vyssh. Uchebn. Zaved. Mat., 1983, no. 5,  85–88
72. Best approximation and the Fourier–Jacobi sums
    
    Mat. Zametki, 34:5 (1983),  651–661
73. Topology of the space $\mathscr L^{p(t)}([0,1])$
    
    Mat. Zametki, 26:4 (1979),  613–632