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Osipenko, Konstantin Yur'evich
Osipenko, Konstantin Yur'evich
Professor
Doctor of physico-mathematical sciences (1993)
Speciality: 01.01.01 (Real analysis, complex analysis, and functional analysis)
Birth date: 23.02.1950
E-mail:
Website: https://osipenko.rstu.ru
Keywords: approximation theory, optimal recovery from noisy information, recovery and approximation of analytic functions, $n$-widths, inequalities for derivatives, quadrature formulas.

Subject:

Optimal recovery methods of analytic functions using the information about exact or inaccurate function values at a fixed system of points were constructed. For the Hardy-Sobolev classes exact values of Kolmogorov $n$-widths, exact constants in Kolmogorov-type inequalities for derivatives, and optimal recovery methods using the information about function values or Fourier coefficients were found. For approximation of analytic functions from Hardy–Sobolev classes an analogue of splines was constructed. Several results concerning optimal recovery of functions and their derivatives on the basis of inaccurate information about their spectrum were obtained.

Biography

Graduaded from Faculty of Cybernetics and Computer Science of M. V. Lomonosov Moscow State University (MSU) in 1972. Ph.D. thesis was defended in 1976 (MSU) D.Sci. thesis was defended in 1993 (Steklov Mathematical Institute). A list of my works contains more than 140 titles. I am a member of Moscow Mathematical Society, American Mathematical Society (AMS).

In 2000 and 2001 I was awarded by honorary title of Soros Professor.
   
Main publications:
  1. Osipenko K. Yu., “Exact $n$-widths of Hardy–Sobolev classes”, Constr. Approx., 13 (1997), 17–27  crossref  mathscinet  zmath
  2. Osipenko K. Yu., Optimal Recovery of Analytic Functions, Nova Science Publishers, Inc., Huntington, New York, 2000
  3. Osipenko K. Yu., “Ob optimalnykh metodakh vosstanovleniya v prostranstvakh Khardi–Soboleva”, Matem. sb., 192:2 (2001), 67–86  mathnet  mathscinet  zmath
  4. Magaril-Ilyaev G. G., Osipenko K. Yu., Tikhomirov V. M., “Optimalnoe vosstanovlenie i teoriya ekstremuma”, Dokl. RAN, 379:2 (2001), 161–164  mathnet  mathscinet  zmath
  5. Osipenko K. Yu., “O nailuchshikh kvadraturnykh formulakh na klassakh Khardi–Soboleva”, Izv. RAN, Ser. matem., 65:5 (2001), 73–90  mathnet  mathscinet  zmath

https://www.mathnet.ru/eng/person8545
List of publications on Google Scholar
https://mathscinet.ams.org/mathscinet/MRAuthorID/219309

Publications in Math-Net.Ru Citations
2024
1. K. Yu. Osipenko, “On the construction of families of optimal recovery methods for linear operators”, Izv. RAN. Ser. Mat., 88:1 (2024),  98–120  mathnet  mathscinet  zmath; Izv. Math., 88:1 (2024), 92–113  isi  scopus 1
2. K. Yu. Osipenko, “Recovery of analytic functions that is exact on subspaces of entire functions”, Mat. Sb., 215:3 (2024),  100–118  mathnet  mathscinet  zmath; Sb. Math., 215:3 (2024), 383–400  isi  scopus
2023
3. K. Yu. Osipenko, “Sharp Carlson Type Inequalities with Many Weights”, Trudy Inst. Mat. i Mekh. UrO RAN, 29:4 (2023),  229–240  mathnet  elib; Proc. Steklov Inst. Math. (Suppl.), 323, suppl. 1 (2023), S211–S221  scopus
2022
4. K. Yu. Osipenko, “Optimal recovery in weighted spaces with homogeneous weights”, Mat. Sb., 213:3 (2022),  111–138  mathnet  mathscinet  zmath; Sb. Math., 213:3 (2022), 385–411  isi  scopus 3
2021
5. G. G. Magaril-Il'yaev, K. Yu. Osipenko, E. O. Sivkova, “Optimal Recovery of Pipe Temperature from Inaccurate Measurements”, Trudy Mat. Inst. Steklova, 312 (2021),  216–223  mathnet  elib; Proc. Steklov Inst. Math., 312 (2021), 207–214  isi  scopus 4
2018
6. E. A. Balova, K. Yu. Osipenko, “Optimal Recovery Methods for Solutions of the Dirichlet Problem that are Exact on Subspaces of Spherical Harmonics”, Mat. Zametki, 104:6 (2018),  803–811  mathnet  mathscinet  elib; Math. Notes, 104:6 (2018), 781–788  isi  scopus 5
7. A. V. Arutyunov, K. Yu. Osipenko, “Recovering linear operators and Lagrange function minimality condition”, Sibirsk. Mat. Zh., 59:1 (2018),  15–28  mathnet  elib; Siberian Math. J., 59:1 (2018), 11–21  isi  scopus 2
2016
8. G. G. Magaril-Il'yaev, K. Yu. Osipenko, “Exactness and optimality of methods for recovering functions from their spectrum”, Trudy Mat. Inst. Steklova, 293 (2016),  201–216  mathnet  mathscinet  elib; Proc. Steklov Inst. Math., 293 (2016), 194–208  isi  scopus 5
2014
9. G. G. Magaril-Il'yaev, K. Yu. Osipenko, E. O. Sivkova, “The best approximation of a set whose elements are known approximately”, Fundam. Prikl. Mat., 19:5 (2014),  127–141  mathnet  mathscinet; J. Math. Sci., 218:5 (2016), 636–646
10. G. G. Magaril-Il'yaev, K. Yu. Osipenko, “On the best methods for recovering derivatives in Sobolev classes”, Izv. RAN. Ser. Mat., 78:6 (2014),  83–102  mathnet  mathscinet  zmath  elib; Izv. Math., 78:6 (2014), 1138–1157  isi  elib  scopus 6
11. K. Yu. Osipenko, “Optimal recovery of linear operators in non-Euclidean metrics”, Mat. Sb., 205:10 (2014),  77–106  mathnet  mathscinet  zmath  elib; Sb. Math., 205:10 (2014), 1442–1472  isi  scopus 15
2013
12. G. G. Magaril-Il'yaev, K. Yu. Osipenko, “On best harmonic synthesis of periodic functions”, Fundam. Prikl. Mat., 18:5 (2013),  155–174  mathnet  mathscinet; J. Math. Sci., 209:1 (2015), 115–129  scopus 6
2012
13. E. V. Vvedenskaya, K. Yu. Osipenko, “Discrete Analogs of Taikov's Inequality and Recovery of Sequences Given with an Error”, Mat. Zametki, 92:4 (2012),  515–527  mathnet  mathscinet  zmath  elib; Math. Notes, 92:4 (2012), 473–484  isi  elib  scopus 3
14. G. G. Magaril-Il'yaev, K. Yu. Osipenko, “How Best to Recover a Function from Its Inaccurately Given Spectrum?”, Mat. Zametki, 92:1 (2012),  59–67  mathnet  mathscinet  zmath  elib; Math. Notes, 92:1 (2012), 51–58  isi  elib  scopus 8
2010
15. G. G. Magaril-Il'yaev, K. Yu. Osipenko, “On Optimal Harmonic Synthesis from Inaccurate Spectral Data”, Funktsional. Anal. i Prilozhen., 44:3 (2010),  76–79  mathnet  mathscinet  zmath  elib; Funct. Anal. Appl., 44:3 (2010), 223–225  isi  scopus 24
16. G. G. Magaril-Il'yaev, K. Yu. Osipenko, “On the reconstruction of convolution-type operators from inaccurate information”, Trudy Mat. Inst. Steklova, 269 (2010),  181–192  mathnet  mathscinet  zmath  elib; Proc. Steklov Inst. Math., 269 (2010), 174–185  isi  elib  scopus 12
2009
17. G. G. Magaril-Il'yaev, K. Yu. Osipenko, “Optimal recovery of the solution of the heat equation from inaccurate data”, Mat. Sb., 200:5 (2009),  37–54  mathnet  mathscinet  zmath  elib; Sb. Math., 200:5 (2009), 665–682  isi  elib  scopus 27
2007
18. N. D. Vysk, K. Yu. Osipenko, “Optimal Reconstruction of the Solution of the Wave Equation from Inaccurate Initial Data”, Mat. Zametki, 81:6 (2007),  803–815  mathnet  mathscinet  zmath  elib; Math. Notes, 81:6 (2007), 723–733  isi  elib  scopus 13
2006
19. K. Yu. Osipenko, “The Hardy–Littlewood–Pólya inequality for analytic functions in Hardy–Sobolev spaces”, Mat. Sb., 197:3 (2006),  15–34  mathnet  mathscinet  zmath  elib; Sb. Math., 197:3 (2006), 315–334  isi  elib  scopus 24
2004
20. G. G. Magaril-Il'yaev, K. Yu. Osipenko, “Optimal recovery of values of functions and their derivatives from inaccurate data on the Fourier transform”, Mat. Sb., 195:10 (2004),  67–82  mathnet  mathscinet  zmath  elib; Sb. Math., 195:10 (2004), 1461–1476  isi  scopus 15
21. K. Yu. Osipenko, “On the reconstruction of the solution of the Dirichlet problem from inexact initial data”, Vladikavkaz. Mat. Zh., 6:4 (2004),  55–62  mathnet  mathscinet  zmath  elib 12
22. A. V. Arutyunov, A. P. Buslaev, E. M. Galeev, M. L. Gol'dman, V. B. Demidovich, A. G. Kusraev, S. S. Kutateladze, K. Yu. Osipenko, V. M. Tikhomirov, “GeorgiĭGeorgievich Magaril-Il'yaev (on the occasion of his sixtieth birthday)”, Vladikavkaz. Mat. Zh., 6:2 (2004),  61–63  mathnet  mathscinet  zmath 1
2003
23. G. G. Magaril-Il'yaev, K. Yu. Osipenko, “Optimal Recovery of Functions and Their Derivatives from Inaccurate Information about the Spectrum and Inequalities for Derivatives”, Funktsional. Anal. i Prilozhen., 37:3 (2003),  51–64  mathnet  mathscinet  zmath  elib; Funct. Anal. Appl., 37:3 (2003), 203–214  isi  scopus 56
24. G. G. Magaril-Il'yaev, K. Yu. Osipenko, V. M. Tikhomirov, “Indefinite Knowledge about an Object and Accuracy of Its Recovery Methods”, Probl. Peredachi Inf., 39:1 (2003),  118–133  mathnet  mathscinet  zmath; Problems Inform. Transmission, 39:1 (2003), 104–118 4
25. K. Yu. Osipenko, “Optimal reconstruction of analytic functions from their values in a uniform grid on a circle”, Vladikavkaz. Mat. Zh., 5:1 (2003),  48–52  mathnet  mathscinet  zmath  elib
26. G. G. Magaril-Il'yaev, K. Yu. Osipenko, “Optimal reconstruction of derivatives on Sobolev classes”, Vladikavkaz. Mat. Zh., 5:1 (2003),  39–47  mathnet  mathscinet  zmath  elib 4
2002
27. G. G. Magaril-Il'yaev, K. Yu. Osipenko, “Optimal recovery of functions and their derivatives from Fourier coefficients prescribed with an error”, Mat. Sb., 193:3 (2002),  79–100  mathnet  mathscinet  zmath  elib; Sb. Math., 193:3 (2002), 387–407  isi  scopus 40
2001
28. G. G. Magaril-Il'yaev, K. Yu. Osipenko, V. M. Tikhomirov, “Optimal reconstruction and the theory of extremum”, Dokl. Akad. Nauk, 379:2 (2001),  161–164  mathnet  mathscinet  zmath; Dokl. Math., 64:1 (2001), 32–35  isi 8
29. K. Yu. Osipenko, “Best quadrature formulae on Hardy–Sobolev classes”, Izv. RAN. Ser. Mat., 65:5 (2001),  73–90  mathnet  mathscinet  zmath  elib; Izv. Math., 65:5 (2001), 923–939  scopus 4
30. K. Yu. Osipenko, “On optimal recovery methods in Hardy–Sobolev spaces”, Mat. Sb., 192:2 (2001),  67–86  mathnet  mathscinet  zmath  elib; Sb. Math., 192:2 (2001), 225–244  isi  scopus 12
1997
31. K. Yu. Osipenko, “On the precise values of $n$-widths for classes defined by cyclic variation diminishing operators”, Mat. Sb., 188:9 (1997),  113–126  mathnet  mathscinet  zmath  elib; Sb. Math., 188:9 (1997), 1371–1383  isi  scopus 5
1994
32. K. Yu. Osipenko, “On $n$-widths, optimal quadrature formulas, and optimal recovery of functions analytic in a strip”, Izv. RAN. Ser. Mat., 58:4 (1994),  55–79  mathnet  mathscinet  zmath; Russian Acad. Sci. Izv. Math., 45:1 (1995), 55–78  isi 11
33. K. Yu. Osipenko, “Inequalities for derivatives of functions analytical in a strip”, Mat. Zametki, 56:4 (1994),  114–122  mathnet  mathscinet  zmath; Math. Notes, 56:4 (1994), 1069–1074  isi 3
34. K. Yu. Osipenko, “The Carathéodory–Fejér problem and optimal recovery of derivatives in Hardy spaces”, Mat. Sb., 185:1 (1994),  27–42  mathnet  mathscinet  zmath; Russian Acad. Sci. Sb. Math., 81:1 (1995), 21–33  isi 2
1993
35. K. Yu. Osipenko, “Optimal recovery of derivatives of bounded analytic and harmonic functions from inaccurate data”, Mat. Zametki, 53:5 (1993),  87–97  mathnet  mathscinet  zmath  elib; Math. Notes, 53:5 (1993), 513–520  isi 4
36. K. Yu. Osipenko, M. I. Stesin, “On some problems of optimal recovery of analytic and harmonic functions from inaccurate data”, Sibirsk. Mat. Zh., 34:3 (1993),  144–160  mathnet  mathscinet  zmath; Siberian Math. J., 34:3 (1993), 523–539  isi 2
1991
37. G. G. Magaril-Il'yaev, K. Yu. Osipenko, “Optimal recovery of functionals based on inaccurate data”, Mat. Zametki, 50:6 (1991),  85–93  mathnet  mathscinet  zmath; Math. Notes, 50:6 (1991), 1274–1279  isi 48
38. K. Yu. Osipenko, M. I. Stesin, “Recovery problems in Hardy and Bergman spaces”, Mat. Zametki, 49:4 (1991),  95–104  mathnet  mathscinet  zmath; Math. Notes, 49:4 (1991), 395–401  isi 9
39. K. Yu. Osipenko, “Best and optimal recovery methods for classes of harmonic functions”, Mat. Sb., 182:5 (1991),  723–745  mathnet  mathscinet  zmath; Math. USSR-Sb., 73:1 (1992), 111–133  isi 3
1990
40. K. Yu. Osipenko, “Blaschke products which have the least deviation from zero”, Mat. Zametki, 47:5 (1990),  71–80  mathnet  mathscinet  zmath; Math. Notes, 47:5 (1990), 471–477  isi
41. K. Yu. Osipenko, M. I. Stesin, “On widths of the Hardy class $H_n$ in the $n$-dimensional ball”, Uspekhi Mat. Nauk, 45:5(275) (1990),  193–194  mathnet  mathscinet  zmath; Russian Math. Surveys, 45:5 (1990), 235–236  isi 5
1988
42. K. Yu. Osipenko, “On best and optimal quadrature formulas on classes of bounded analytic functions”, Izv. Akad. Nauk SSSR Ser. Mat., 52:1 (1988),  79–99  mathnet  mathscinet  zmath; Math. USSR-Izv., 32:1 (1989), 77–97 4
1985
43. K. Yu. Osipenko, “Heins' problem and optimal extrapolation of analytic functions prescribed with an error”, Mat. Sb. (N.S.), 126(168):4 (1985),  566–575  mathnet  mathscinet  zmath; Math. USSR-Sb., 54:2 (1986), 551–559 1
1982
44. K. Yu. Osipenko, “Best methods for approximating analytic functions given with an error”, Mat. Sb. (N.S.), 118(160):3(7) (1982),  350–370  mathnet  mathscinet  zmath; Math. USSR-Sb., 46:3 (1983), 353–374 5
1980
45. K. Yu. Osipenko, “Best approximation methods and the order of informativeness of systems”, Mat. Sb. (N.S.), 111(153):4 (1980),  532–556  mathnet  mathscinet  zmath; Math. USSR-Sb., 39:4 (1981), 479–500  isi 1
1976
46. K. Yu. Osipenko, “Best approximation of analytic functions from information about their values at a finite number of points”, Mat. Zametki, 19:1 (1976),  29–40  mathnet  mathscinet  zmath; Math. Notes, 19:1 (1976), 17–23 25
1975
47. A. G. Marchuk, K. Yu. Osipenko, “Best approximation of functions specified with an error at a finite number of points”, Mat. Zametki, 17:3 (1975),  359–368  mathnet  mathscinet  zmath; Math. Notes, 17:3 (1975), 207–212 47
1972
48. K. Yu. Osipenko, “Optimal interpolation of analytic functions”, Mat. Zametki, 12:4 (1972),  465–476  mathnet  mathscinet  zmath; Math. Notes, 12:4 (1972), 712–719 22
2024
49. E. R. Avakov, V. I. Burenkov, È. M. Galeev, M. L. Gol'dman, V. B. Demidovich, A. V. Dmitruk, A. G. Kusraev, S. S. Kutateladze, K. Yu. Osipenko, V. D. Stepanov, V. M. Tikhomirov, “Georgy Georgievich Magaril-Il'yaev (on his 80th anniversary)”, Vladikavkaz. Mat. Zh., 26:2 (2024),  133–136  mathnet
2005
50. V. I. Arnol'd, A. S. Demidov, Yu. S. Ilyashenko, G. G. Magaril-Il'yaev, E. F. Mishchenko, K. Yu. Osipenko, A. B. Sossinski, M. A. Tsfasman, V. A. Uspenskii, M. N. Vyalyi, I. V. Yaschenko, M. I. Zelikin, “Vladimir M. Tikhomirov”, Mosc. Math. J., 5:1 (2005),  295  mathnet  mathscinet
2004
51. A. V. Arutyunov, A. P. Buslaev, È. M. Galeev, M. L. Gol'dman, V. B. Demidovich, A. G. Kusraev, S. S. Kutateladze, G. G. Magaril-Il'yaev, K. Yu. Osipenko, E. S. Polovinkin, “Vladimir Mikhaĭlovich Tikhomirov (on the occasion of his seventieth birthday)”, Vladikavkaz. Mat. Zh., 6:4 (2004),  3–6  mathnet  mathscinet  zmath 1

Presentations in Math-Net.Ru
1. Optimal Recovery Problems for Linear Functionals and Operators on Sets with Approximately Known Elements
G. G. Magaril-Il'yaev, K. Yu. Osipenko
Geometric Theory of Optimal Control
December 7, 2023 16:45   
2. Наилучшее восстановление функций по неточно заданному спектру
G. G. Magaril-Il'yaev, K. Yu. Osipenko
Seminar on Theory of Functions of Several Real Variables and Its Applications to Problems of Mathematical Physics
November 21, 2018 16:00   
3. Оптимальное восстановление функции по ее неточно заданному спектру
G. G. Magaril-Il'yaev, K. Yu. Osipenko
International conference on Function Spaces and Approximation Theory dedicated to the 110th anniversary of S. M. Nikol'skii
May 25, 2015 16:40
4. Optimal recovery: theory and applications
G. G. Magaril-Il'yaev, K. Yu. Osipenko
PreMoLab Seminar
April 4, 2013   
5. О наилучшем восстановлении функций по неточно заданному спектру
G. G. Magaril-Il'yaev, K. Yu. Osipenko
PreMoLab Seminar
March 29, 2012 17:00
6. Some problems of optimal recovery of linear operators on inaccurate information
G. G. Magaril-Il'yaev, K. Yu. Osipenko
Seminar of M. S. Pinsker Laboratory 1 IITP RAS
November 24, 2011 16:00
7. Об оптимальном восстановлении решения уравнения теплопроводности по неточным данным
G. G. Magaril-Il'yaev, K. Yu. Osipenko
Seminar "Optimal Control and Dynamical Systems"
April 21, 2010 12:00

Organisations
 
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