Starovoitov Alexander Pavlovich

Publications in Math-Net.Ru

1. On the asymptotics of convergence of trigonometric Hermite–Jacobi approximations and nonlinear Hermite–Chebyshev approximations
   
   PFMT, 2025, no. 2(63),  56–61
2. Uniqueness and explicit form of Hermite–Chebyshev linear approximations
   
   PFMT, 2025, no. 1(62),  102–107
3. Existence and explicit form of nonlinear Hermite–Chebyshev approximations
   
   Proceedings of the Institute of Mathematics of the NAS of Belarus, 33:1 (2025),  75–86
4. Rational approximations of power series, trigonometric series and series of Chebyshev polynomials
   
   Journal of the Belarusian State University. Mathematics and Informatics, 3 (2024),  6–21
5. On the existence of trigonometric Padé approximations
   
   PFMT, 2024, no. 3(60),  71–76
6. Rational approximations of Laurent series
   
   PFMT, 2024, no. 1(58),  68–73
7. On the existence of trigonometric Hermite – Jacobi approximations and non-linear Hermite – Chebyshev approximations
   
   Journal of the Belarusian State University. Mathematics and Informatics, 2 (2023),  6–17
8. Polyorthogonalization of a Function System
   
   Mat. Zametki, 113:2 (2023),  316–320
9. Existence and uniqueness of consistent Hermite – Fourier approximations
   
   PFMT, 2023, no. 2(55),  68–73
10. The analogue of Jacobi's theorem for simultaneous Hermitian interpolation of several functions
    
    PFMT, 2023, no. 1(54),  89–92
11. On determinant representations of Hermite–Padé polynomials
    
    Tr. Mosk. Mat. Obs., 83:1 (2022),  17–35
12. On polyorthogonal functions of the first type
    
    PFMT, 2022, no. 2(51),  94–98
13. Polyorthogonal systems of functions
    
    PFMT, 2022, no. 1(50),  89–93
14. About the convergence rate Hermite – Padé approximants of exponential functions
    
    Izv. Saratov Univ. Math. Mech. Inform., 21:2 (2021),  162–172
15. On the explicit representation of polyorthogonal polynomials
    
    Izv. Vyssh. Uchebn. Zaved. Mat., 2021, no. 4,  80–89
16. Analogs of Schmidt's Formula for Polyorthogonal Polynomials of the First Type
    
    Mat. Zametki, 110:3 (2021),  424–433
17. Rational approximation of the Mittag-Leffler functions
    
    PFMT, 2021, no. 1(46),  65–68
18. A criterion for the existence and uniqueness of polyorthogonal polynomials of the first type
    
    PFMT, 2020, no. 3(44),  82–86
19. A criterion for the existence and uniqueness of polyorthogonal polynomials of the second type
    
    PFMT, 2020, no. 2(43),  85–90
20. On the existence and uniqueness of type i Hermite–Padé polynomials
    
    PFMT, 2019, no. 3(40),  100–103
21. On the existence and uniqueness of type II Hermite–Padé polynomials
    
    PFMT, 2019, no. 2(39),  92–96
22. Speed of convergence of quadratic Hermite–Padé approximations confluent hypergeometric functions
    
    PFMT, 2018, no. 1(34),  71–78
23. Hermite–Padé approximants of the Mittag-Leffler functions
    
    Trudy Mat. Inst. Steklova, 301 (2018),  241–258
24. Asymptotics of Diagonal Hermite–Padé Polynomials for the Collection of Exponential Functions
    
    Mat. Zametki, 102:2 (2017),  302–315
25. Asymptotics of Hermite–Padé degenerate hypergeometric functions
    
    PFMT, 2017, no. 2(31),  69–74
26. Asymptotics of the type II Hermite–Padé approximation of exponential functions with complex multipliers in the exponent
    
    PFMT, 2017, no. 1(30),  73–77
27. On Some Properties of Hermite–Padé Approximants to an Exponential System
    
    Trudy Mat. Inst. Steklova, 298 (2017),  338–355
28. Upper Bounds for the Moduli of Zeros of Hermite–Padé Approximations for a Set of Exponential Functions
    
    Mat. Zametki, 99:3 (2016),  409–420
29. Asymptotics of Hermite–Padé approximation of exponential functions with complex multipliers in the exponent
    
    PFMT, 2016, no. 2(27),  61–67
30. Hermite-Padé approximation of exponential functions
    
    Mat. Sb., 207:6 (2016),  3–26
31. On localization of the zeroes Hermite–Padé approximants to the exponential functions
    
    PFMT, 2015, no. 3(24),  84–89
32. Quadratic Hermite–Padé Approximants of Exponential Functions
    
    Izv. Saratov Univ. Math. Mech. Inform., 14:4(1) (2014),  387–395
33. On asymptotic form of the Hermite–Pade approximations for a system of Mittag-Leffler functions
    
    Izv. Vyssh. Uchebn. Zaved. Mat., 2014, no. 9,  59–68
34. Asymptotics of quadratic Hermite–Padé approximants of the exponential functions
    
    PFMT, 2014, no. 1(18),  74–80
35. Hermitian Approximation of Two Exponents
    
    Izv. Saratov Univ. Math. Mech. Inform., 13:1(2) (2013),  87–91
36. Hermite–Pade approximants of the system Mittag-Leffler functions
    
    PFMT, 2013, no. 1(14),  81–87
37. Hermitian approximation of two exponents
    
    PFMT, 2012, no. 1(10),  97–100
38. Approximation of continuous functions by rational Pad–Chebyshev fractions
    
    PFMT, 2011, no. 1(6),  69–78
39. Determinant representation of Pade joint approximations
    
    PFMT, 2010, no. 4(5),  46–49
40. Rational approximation of Markov functions generated by Borelean power-type measures
    
    PFMT, 2009, no. 1(1),  69–73
41. Trigonometric Padé approximants for functions with regularly decreasing Fourier coefficients
    
    Mat. Sb., 200:7 (2009),  107–130
42. On the Asymptotics of the Rows of the Padé Table of Analytic Functions with Logarithmic Branch Points
    
    Mat. Zametki, 84:3 (2008),  409–419
43. Padé approximants of the Mittag-Leffler functions
    
    Mat. Sb., 198:7 (2007),  109–122
44. Rational Approximations of Riemann–Liouville and Weyl Fractional Integrals
    
    Mat. Zametki, 78:3 (2005),  428–441
45. Existence of Continuous Functions with a Given Order of Decrease of Least Deviations from Rational Approximations
    
    Mat. Zametki, 74:5 (2003),  745–751
46. Coincidence of Least Uniform Deviations of Functions from Polynomials and Rational Fractions
    
    Mat. Zametki, 74:4 (2003),  612–617
47. Remark on a Problem of Rational Approximation
    
    Mat. Zametki, 74:3 (2003),  446–448
48. Padé approximants for entire functions with regularly decreasing Taylor coefficients
    
    Mat. Sb., 193:9 (2002),  63–92
49. On the Problem of Describing Sequences of Best Trigonometric Rational Approximations
    
    Mat. Zametki, 69:6 (2001),  919–924
50. On the problem of the description of sequences of best rational trigonometric approximations
    
    Mat. Sb., 191:6 (2000),  145–154
51. Asymptotic behaviour of the Hadamard determinants and the behaviour of the rows of the Padé and Chebyshev tables for a sum of exponentials
    
    Mat. Sb., 187:2 (1996),  141–157
52. Comparison of the rates of rational and polynomial approximations of differentiable functions
    
    Mat. Zametki, 44:4 (1988),  528–535