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Starovoitov, Alexander Pavlovich
Starovoitov, Alexander Pavlovich
Professor
Doctor of physico-mathematical sciences (2003)
Speciality: 01.01.01 (Real analysis, complex analysis, and functional analysis)
Birth date: 2.01.1957
E-mail:
Keywords: rational approximation; Padé approximation; inequalities of Bernstein and Markov; splines of best approximation; Jackson–Russak operators.
UDC: 517.51, 517.53, 517.53.57, 517.538.52, 517.538.53, 517.518.84
MSC: 41A05, 41A10, 41A15, 41A17, 41A20, 41A21, 41.A35, 41.A6, 41A50, 41A58

Subject:

Rational approximation; Padé approximation; inequalities of Bernstein and Markov; splines of best approximation; Jackson–Russak operators; interpolation of operators; approximation by algebraic polynomials; approximation of analytic functions; approximation by Fourier sums; orthogonal systems.

Biography

Graduated from Faculty of Mathematics and Mechanics of Gomel State University (GSU) in 1979. With 1979–1984 — post-graduate student from Faculty of Mathematics and Mechanics of Byelorussian State University (BSU) (department of theory of functions). Ph.D. thesis was defended in 1985. Doctor of physico-mathematical sciences (2003). A list of my works contains more than 100 titles.
   
Main publications:
  • Starovoitov A. P., Starovoitova N. A. Asimptotika opredelitelei Adamara i povedenie strok tablits Pade i Chebysheva dlya summy eksponent. Matem. sbornik. 1996. T. 187. # 2. S. 141–157.
  • Starovoitov A.P. K probleme opisaniya posledovatelnostei nailuchshikh trigonometricheskikh ratsionalnykh priblizhenii. Matem. sbornik. 2000. T. 191. # 6. S. 145–154.
  • Starovoitov A. P., Rusak V. N. Approksimatsii Pade dlya tselykh funktsii s regulyarno ubyvayuschimi koeffitsientami Teilora // Matem. sbornik. 2002. T. 193, # 9. S. 63–92.
  • Starovoitov A. P. Zamechanie k odnoi probleme ratsionalnoi approksimatsii // Matem. zametki. 2003. T. 74, # 3. S. 446–448.
  • Starovoitov A. P. O sovpadenii naimenshikh ravnomernykh uklonenii funktsii ot polinomov i ratsionalnykh drobei // Matem. zametki. 2003. T. 74, # 4. S. 612–617.
  • Starovoitov A. P. Suschestvovanie nepreryvnykh funktsii s zadannym poryadkom ubyvaniya naimenshikh uklonenii ot ratsionalnykh funktsii // Matem. zametki. 2003. T. 74, # 5. S. 745–751.
  • Starovoitov A. P. Ratsionalnye priblizheniya drobnykh integralov Rimana–Liuvillya i Veilya // Matem. zametki. 2005. T. 78, # 3. S. 428–441.

https://www.mathnet.ru/eng/person8417
List of publications on Google Scholar

Publications in Math-Net.Ru Citations
2024
1. A. P. Starovoitov, T. M. Osnach, N. V. Ryabchenko, “On the existence of trigonometric Padé approximations”, PFMT, 2024, no. 3(60),  71–76  mathnet
2. A. P. Starovoitov, N. V. Ryabchenko, “Rational approximations of Laurent series”, PFMT, 2024, no. 1(58),  68–73  mathnet
2023
3. A. P. Starovoitov, E. P. Kechko, T. M. Osnath, “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  mathnet 1
4. A. P. Starovoitov, “Polyorthogonalization of a Function System”, Mat. Zametki, 113:2 (2023),  316–320  mathnet  mathscinet; Math. Notes, 113:2 (2023), 311–315  scopus
5. A. P. Starovoitov, E. P. Kechko, T. M. Osnath, “Existence and uniqueness of consistent Hermite – Fourier approximations”, PFMT, 2023, no. 2(55),  68–73  mathnet 1
6. T. M. Osnach, N. V. Ryabchenko, A. P. Starovoitov, “The analogue of Jacobi's theorem for simultaneous Hermitian interpolation of several functions”, PFMT, 2023, no. 1(54),  89–92  mathnet
2022
7. A. P. Starovoitov, N. V. Ryabchenko, “On determinant representations of Hermite–Padé polynomials”, Tr. Mosk. Mat. Obs., 83:1 (2022),  17–35  mathnet 5
8. A. P. Starovoitov, A. D. Kovalkova, “On polyorthogonal functions of the first type”, PFMT, 2022, no. 2(51),  94–98  mathnet
9. A. P. Starovoitov, “Polyorthogonal systems of functions”, PFMT, 2022, no. 1(50),  89–93  mathnet
2021
10. A. P. Starovoitov, E. P. Kechko, “About the convergence rate Hermite – Padé approximants of exponential functions”, Izv. Saratov Univ. Math. Mech. Inform., 21:2 (2021),  162–172  mathnet  elib
11. A. P. Starovoitov, N. V. Ryabchenko, “On the explicit representation of polyorthogonal polynomials”, Izv. Vyssh. Uchebn. Zaved. Mat., 2021, no. 4,  80–89  mathnet; Russian Math. (Iz. VUZ), 65:4 (2021), 72–80  isi  scopus 5
12. A. P. Starovoitov, N. V. Ryabchenko, “Analogs of Schmidt's Formula for Polyorthogonal Polynomials of the First Type”, Mat. Zametki, 110:3 (2021),  424–433  mathnet  elib; Math. Notes, 110:3 (2021), 409–417  isi  scopus 6
13. N. V. Ryabchenko, A. P. Starovoitov, “Rational approximation of the Mittag-Leffler functions”, PFMT, 2021, no. 1(46),  65–68  mathnet
2020
14. A. P. Starovoitov, N. V. Ryabchenko, A. A. Drapeza, “A criterion for the existence and uniqueness of polyorthogonal polynomials of the first type”, PFMT, 2020, no. 3(44),  82–86  mathnet 1
15. N. V. Ryabchenko, D. A. Volkov, A. P. Starovoitov, “A criterion for the existence and uniqueness of polyorthogonal polynomials of the second type”, PFMT, 2020, no. 2(43),  85–90  mathnet 1
2019
16. A. P. Starovoitov, N. V. Ryabchenko, A. A. Drapeza, “On the existence and uniqueness of type i Hermite–Padé polynomials”, PFMT, 2019, no. 3(40),  100–103  mathnet
17. A. P. Starovoitov, N. V. Ryabchenko, D. A. Volkov, “On the existence and uniqueness of type II Hermite–Padé polynomials”, PFMT, 2019, no. 2(39),  92–96  mathnet 1
2018
18. M. V. Sidortsov, A. A. Drapeza, A. P. Starovoitov, “Speed of convergence of quadratic Hermite–Padé approximations confluent hypergeometric functions”, PFMT, 2018, no. 1(34),  71–78  mathnet
19. A. P. Starovoitov, “Hermite–Padé approximants of the Mittag-Leffler functions”, Trudy Mat. Inst. Steklova, 301 (2018),  241–258  mathnet  mathscinet  elib; Proc. Steklov Inst. Math., 301 (2018), 228–244  isi  elib  scopus 4
2017
20. A. P. Starovoitov, “Asymptotics of Diagonal Hermite–Padé Polynomials for the Collection of Exponential Functions”, Mat. Zametki, 102:2 (2017),  302–315  mathnet  mathscinet  elib; Math. Notes, 102:2 (2017), 277–288  isi  scopus 2
21. M. V. Sidortsov, A. A. Drapeza, A. P. Starovoitov, “Asymptotics of Hermite–Padé degenerate hypergeometric functions”, PFMT, 2017, no. 2(31),  69–74  mathnet
22. M. V. Sidortsov, N. A. Starovoitova, A. P. Starovoitov, “Asymptotics of the type II Hermite–Padé approximation of exponential functions with complex multipliers in the exponent”, PFMT, 2017, no. 1(30),  73–77  mathnet
23. A. P. Starovoitov, E. P. Kechko, “On Some Properties of Hermite–Padé Approximants to an Exponential System”, Trudy Mat. Inst. Steklova, 298 (2017),  338–355  mathnet  elib; Proc. Steklov Inst. Math., 298 (2017), 317–333  isi  scopus 3
2016
24. A. P. Starovoitov, E. P. Kechko, “Upper Bounds for the Moduli of Zeros of Hermite–Padé Approximations for a Set of Exponential Functions”, Mat. Zametki, 99:3 (2016),  409–420  mathnet  mathscinet  elib; Math. Notes, 99:3 (2016), 417–425  isi  scopus 5
25. A. P. Starovoitov, G. N. Kazimirov, M. V. Sidorzov, “Asymptotics of Hermite–Padé approximation of exponential functions with complex multipliers in the exponent”, PFMT, 2016, no. 2(27),  61–67  mathnet 1
26. A. V. Astafieva, A. P. Starovoitov, “Hermite-Padé approximation of exponential functions”, Mat. Sb., 207:6 (2016),  3–26  mathnet  mathscinet  zmath  elib; Sb. Math., 207:6 (2016), 769–791  isi  scopus 8
2015
27. A. P. Starovoitov, E. P. Kechko, “On localization of the zeroes Hermite–Padé approximants to the exponential functions”, PFMT, 2015, no. 3(24),  84–89  mathnet 1
2014
28. A. P. Starovoitov, “Quadratic Hermite–Padé Approximants of Exponential Functions”, Izv. Saratov Univ. Math. Mech. Inform., 14:4(1) (2014),  387–395  mathnet  elib 1
29. A. P. Starovoitov, “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  mathnet; Russian Math. (Iz. VUZ), 58:9 (2014), 49–56  scopus 9
30. A. P. Starovoitov, “Asymptotics of quadratic Hermite–Padé approximants of the exponential functions”, PFMT, 2014, no. 1(18),  74–80  mathnet 2
2013
31. A. P. Starovoitov, “Hermitian Approximation of Two Exponents”, Izv. Saratov Univ. Math. Mech. Inform., 13:1(2) (2013),  87–91  mathnet  elib 6
32. A. P. Starovoitov, “Hermite–Pade approximants of the system Mittag-Leffler functions”, PFMT, 2013, no. 1(14),  81–87  mathnet 10
2012
33. N. V. Rjabchenko, A. P. Starovoitov, G. N. Kazimirov, “Hermitian approximation of two exponents”, PFMT, 2012, no. 1(10),  97–100  mathnet 1
2011
34. Yu. A. Labych, A. P. Starovoitov, “Approximation of continuous functions by rational Pad–Chebyshev fractions”, PFMT, 2011, no. 1(6),  69–78  mathnet
2010
35. A. P. Starovoitov, N. V. Rjabchenko, “Determinant representation of Pade joint approximations”, PFMT, 2010, no. 4(5),  46–49  mathnet
2009
36. A. P. Starovoitov, Yu. A. Labych, “Rational approximation of Markov functions generated by Borelean power-type measures”, PFMT, 2009, no. 1(1),  69–73  mathnet 2
37. Yu. A. Labych, A. P. Starovoitov, “Trigonometric Padé approximants for functions with regularly decreasing Fourier coefficients”, Mat. Sb., 200:7 (2009),  107–130  mathnet  mathscinet  zmath  elib; Sb. Math., 200:7 (2009), 1051–1074  isi  elib  scopus 14
2008
38. A. P. Starovoitov, N. A. Starovoitova, “On the Asymptotics of the Rows of the Padé Table of Analytic Functions with Logarithmic Branch Points”, Mat. Zametki, 84:3 (2008),  409–419  mathnet  mathscinet  zmath  elib; Math. Notes, 84:3 (2008), 379–388  isi  elib  scopus 1
2007
39. A. P. Starovoitov, N. A. Starovoitova, “Padé approximants of the Mittag-Leffler functions”, Mat. Sb., 198:7 (2007),  109–122  mathnet  mathscinet  zmath  elib; Sb. Math., 198:7 (2007), 1011–1023  isi  scopus 29
2005
40. A. P. Starovoitov, “Rational Approximations of Riemann–Liouville and Weyl Fractional Integrals”, Mat. Zametki, 78:3 (2005),  428–441  mathnet  mathscinet  zmath  elib; Math. Notes, 78:3 (2005), 391–402  isi  scopus 2
2003
41. A. P. Starovoitov, “Existence of Continuous Functions with a Given Order of Decrease of Least Deviations from Rational Approximations”, Mat. Zametki, 74:5 (2003),  745–751  mathnet  mathscinet  zmath; Math. Notes, 74:5 (2003), 701–707  isi
42. A. P. Starovoitov, “Coincidence of Least Uniform Deviations of Functions from Polynomials and Rational Fractions”, Mat. Zametki, 74:4 (2003),  612–617  mathnet  mathscinet  zmath; Math. Notes, 74:4 (2003), 578–582  isi  scopus 1
43. A. P. Starovoitov, “Remark on a Problem of Rational Approximation”, Mat. Zametki, 74:3 (2003),  446–448  mathnet  mathscinet  zmath; Math. Notes, 74:3 (2003), 422–424  isi  scopus
2002
44. V. N. Rusak, A. P. Starovoitov, “Padé approximants for entire functions with regularly decreasing Taylor coefficients”, Mat. Sb., 193:9 (2002),  63–92  mathnet  mathscinet  zmath; Sb. Math., 193:9 (2002), 1303–1332  isi  scopus 7
2001
45. A. P. Starovoitov, “On the Problem of Describing Sequences of Best Trigonometric Rational Approximations”, Mat. Zametki, 69:6 (2001),  919–924  mathnet  mathscinet  zmath; Math. Notes, 69:6 (2001), 839–844  isi 4
2000
46. A. P. Starovoitov, “On the problem of the description of sequences of best rational trigonometric approximations”, Mat. Sb., 191:6 (2000),  145–154  mathnet  mathscinet  zmath; Sb. Math., 191:6 (2000), 927–936  isi  scopus 2
1996
47. A. P. Starovoitov, N. A. Starovoitova, “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  mathnet  mathscinet  zmath; Sb. Math., 187:2 (1996), 297–313  isi  scopus 3
1988
48. A. P. Starovoitov, “Comparison of the rates of rational and polynomial approximations of differentiable functions”, Mat. Zametki, 44:4 (1988),  528–535  mathnet  mathscinet  zmath; Math. Notes, 44:4 (1988), 770–774  isi 2

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