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:
Osipenko K. Yu., “Exact $n$-widths of Hardy–Sobolev classes”, Constr. Approx., 13 (1997), 17–27
Osipenko K. Yu., Optimal Recovery of Analytic Functions, Nova Science Publishers, Inc., Huntington, New York, 2000
Osipenko K. Yu., “Ob optimalnykh metodakh vosstanovleniya v prostranstvakh Khardi–Soboleva”, Matem. sb., 192:2 (2001), 67–86
Magaril-Ilyaev G. G., Osipenko K. Yu., Tikhomirov V. M., “Optimalnoe vosstanovlenie i teoriya ekstremuma”, Dokl. RAN, 379:2 (2001), 161–164
Osipenko K. Yu., “O nailuchshikh kvadraturnykh formulakh na klassakh Khardi–Soboleva”, Izv. RAN, Ser. matem., 65:5 (2001), 73–90
K. Yu. Osipenko, “Carlson-type inequalities with many weights and optimal recovery”, Sb. Math., 217:4 (2026), 583–610
2.
K. Yu. Osipenko, “Carlson type inequalities and optimal recovery of differential operators”, Math. Ineq. Appl., 29:2 (2026), 123-136
3.
K. Yu. Osipenko, “Recovery of differential operators from a noisy Fourier transform”, Commun. Optim. Theory, 2026:13 (2026), 1-14
2025
4.
K. Yu. Osipenko, “On some Carlson-type inequalities”, Sb. Math., 216:3 (2025), 431–444
5.
I. S. Maksimova, K. Yu. Osipenko, “Optimal recovery of a solution of a system of linear differential equations from initial information given with a random error”, Sb. Math., 216:4 (2025), 515–537
6.
K. Yu. Osipenko, Exact inequalities and optimal recovery by inaccurate information, 2025 (Published online), 16 pp., arXiv: 2504.09139
7.
K. Yu. Osipenko, “Optimal recovery of linear operators from information of random functions”, J. Complexity, 86:101903 (2025), 1-15
8.
K. Yu. Osipenko, V. M. Tikhomirov, Izbrannye glavy teorii priblizhenii, Izdatelstvo Moskovskogo universiteta, Moskva, 2025, 280 pp.
9.
E. G. Bakhtigareeva, O. V. Besov, V. I. Burenkov, E. I. Galakhov, T. E. Denisova, A. N. Karapetyants, G. Zh. Karshygina, A. G. Kusraev, G. G. Magaril-Il'yaev, A. B. Muravnik, K. Yu. Osipenko, V. M. Savchin, S. M. Sitnik, A. L. Skubachevskii, E. O. Sivkova, V. D. Stepanov, V. M. Tikhomirov, E. P. Ushakova, E. L. Shishkina, “Mikhail Lvovich Goldman (13.04.1945–05.07.2025)”, Vladikavkaz. Mat. Zh., 27:3 (2025), 143–144
2024
10.
K. Yu. Osipenko, “On the construction of families of optimal recovery methods for linear operators”, Izv. Math., 88:1 (2024), 92–113
11.
K. Yu. Osipenko, “Recovery of analytic functions that is exact on subspaces of entire functions”, Sb. Math., 215:3 (2024), 383–400
12.
A. A. Vasil'eva, A. V. Gorshkov, M. P. Zapletin, L. V. Lokutsievskiy, G. G. Magaril-Il'yaev, K. Yu. Osipenko, K. S. Ryutin, A. V. Fursikov, “Main recent research results of the staff of the Chair of General Problems of Control”, Moscow University Mathematics Bulletin, 79:6 (2024), 351–359
13.
K. Yu. Osipenko, “Optimal recovery and generalized Carlson inequality for weights with symmetry properties”, J. Complexity, 81:101807 (2024), 1-35
14.
K. Yu. Osipenko, Optimal recovery of linear operators from information of random functions, 2024 (Published online), 15 pp., arXiv: 2405.11363
15.
K. Yu. Osipenko, Recovery of differential operators from a noisy Fourier transform, 2024 (Published online), 14 pp., arXiv: 2404.03917
16.
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
2023
17.
K. Yu. Osipenko, “Sharp Carlson type inequalities with many weights”, Proc. Steklov Inst. Math. (Suppl.), 323, suppl. 1 (2023), S211–S221
18.
K. Yu. Osipenko, Optimal recovery and generalized Carlson inequality for weights with symmetry properties, 2023 (Published online), 32 pp., arXiv: 2303.10355
19.
K. Yu. Osipenko, Variatsionnoe ischislenie i optimalnoe upravlenie, LENAND, Moskva, 2023, 144 pp.
20.
K. Yu. Osipenko, “Tochnye neravenstva dlya proizvodnykh i preobrazovaniya Fure”, Poryadkovyi analiz i smezhnye voprosy matematicheskogo modelirovaniya. Teoriya operatorov i differentsialnye uravneniya (Vladikavkaz, 2023 g.), YuMI VNTs RAN, Vladikavkaz, 2023, 35-36
2022
21.
K. Yu. Osipenko, “Optimal recovery in weighted spaces with homogeneous weights”, Sb. Math., 213:3 (2022), 385–411
22.
K. Yu. Osipenko, Vvedenie v teoriyu optimalnogo vosstanovleniya, Lan, Sankt-Peterburg, 2022, 388 pp.
23.
K. Yu. Osipenko, Vypuklyi analiz, LENAND, Moskva, 2022, 144 pp.
2021
24.
G. G. Magaril-Il'yaev, K. Yu. Osipenko, E. O. Sivkova, “Optimal Recovery of Pipe Temperature from Inaccurate Measurements”, Proc. Steklov Inst. Math., 312 (2021), 207–214
25.
K. Yu. Osipenko, “Inequalities for derivatives with the Fourier transform”, Appl. Comp. Harm. Anal., 53 (2021), 132-150
G. G. Magaril-Il'yaev, K. Yu. Osipenko, “Some problems of optimal recovery of linear operators”, Approximation and Data Analysis 2019 (Nizhny Novgorod, 2019 g.), Nizhny Novgorod, 2019, 19-20
27.
K. Yu. Osipenko, “Generalized adaptive versus nonadaptive recovery from noisy information”, J. Complexity, 53 (2019), 162-172
K. Yu. Osipenko, “Adaptivnye i neadaptivnye metody optimalnogo vosstanovleniya operatorov”, Vychislitelnaya matematika i ee prilozheniya (Dolgoprudnyi, 2019 g.), MFTI, Dolgoprudnyi, 2019, 45-46
2018
29.
E. A. Balova, K. Yu. Osipenko, “Optimal Recovery Methods for Solutions of the Dirichlet Problem that are Exact on Subspaces of Spherical Harmonics”, Math. Notes, 104:6 (2018), 781–788
30.
A. V. Arutyunov, K. Yu. Osipenko, “Recovering linear operators and Lagrange function minimality condition”, Siberian Math. J., 59:1 (2018), 11–21
31.
K. Yu. Osipenko, “Recovery of derivatives for functions defined on the semiaxis”, J. Complexity, 48 (2018), 111-118
K. Yu. Osipenko, “O vosstanovlenii resheniya zadachi Dirikhle po netochnym iskhodnym dannym”, Beskonechnomernyi analiz i teoriya upravleniya (Moskva, 2018 g.), MGU, Moskva, 2018, 22
2016
33.
G. G. Magaril-Il'yaev, K. Yu. Osipenko, “Exactness and Optimality of Methods for Recovering Functions from Their Spectrum”, Proc. Steklov Inst. Math., 293 (2016), 194–208
34.
K. Yu. Osipenko, “Optimal recovery of linear functionals and operators”, Communication on Applied Mathematics and Computation, 30:4 (2016), 459-481
35.
K. Yu. Osipenko, “Optimal recovery of operators and multidimensional Carlson type inequalities”, J. Complexity, 32:1 (2016), 53-73
G. G. Magaril-Ilyaev, K. Yu. Osipenko, “O vosstanovlenii signalov po spektru”, Trudy Mezhdunarodnoi letnei Shkoly-Konferentsii S.B. Stechkina po teorii funktsii, Poligrafiya OOO «Ofset», Dushanbe, 2016, 151-160
37.
K. Yu. Osipenko, Vypuklyi analiz, MAI, kaf. «Vyssh. mat.», 1-66, 2016
2015
38.
K. Yu. Osipenko, “Optimal recovery of linear operators from inaccurate information”, Mathematical Analysis and Mathematical Modeling. Proceedings of the International Conference of Young Scientists, YuMI VNTs RAN, Vladikavkaz, 2015, 43-68
39.
G. G. Magaril-Ilyaev, K. Yu. Osipenko, “Optimalnoe vosstanovlenie funktsii po ee netochno zadannomu spektru”, Funktsionalnye prostranstva i teoriya priblizheniya funktsii (Moskva, 2015 g.), MIAN, Moskva, 2015, 176
2014
40.
K. Yu. Osipenko, “Optimal recovery of linear operators in non-Euclidean metrics”, Sb. Math., 205:10 (2014), 1442–1472
41.
G. G. Magaril-Il'yaev, K. Yu. Osipenko, “On the best methods for recovering derivatives in Sobolev classes”, Izv. Math., 78:6 (2014), 1138–1157
2016
42.
G. G. Magaril-Il'yaev, K. Yu. Osipenko, E. O. Sivkova, “The best approximation of a set whose elements are known approximately”, J. Math. Sci., 218:5 (2016), 636–646
2014
43.
K. Yu. Osipenko, Variatsionnoe ischislenie i optimalnoe upravlenie, MATI-RGTU, kaf. «Vyssh. mat.», 1-56, 2014
2015
44.
G. G. Magaril-Il'yaev, K. Yu. Osipenko, “On best harmonic synthesis of periodic functions”, J. Math. Sci., 209:1 (2015), 115–129
2013
45.
G. G. Magaril-Ilyaev, K. Yu. Osipenko, “Ob optimalnom vosstanovlenii reshenii raznostnykh uravnenii po netochnym izmereniyam”, Problemy matematicheskogo analiza, 69 (2013), 47-54
E. V. Vvedenskaya, V. V. Gorbatsevich, K. Yu. Osipenko, Uravneniya giperbolicheskogo tipa, Metodicheskoe posobie po kursu «Uravneniya s chastnymi proizvodnymi». Chast 2, MATI-RGTU, kaf. «Vyssh. mat.», 1-24, 2013
2012
47.
G. G. Magaril-Il'yaev, K. Yu. Osipenko, “How Best to Recover a Function from Its Inaccurately Given Spectrum?”, Math. Notes, 92:1 (2012), 51–58
48.
E. V. Vvedenskaya, K. Yu. Osipenko, “Discrete Analogs of Taikov's Inequality and Recovery of Sequences Given with an Error”, Math. Notes, 92:4 (2012), 473–484
2011
49.
G. G. Magaril-Il'yaev, K. Yu. Osipenko, “How to recover functions from inaccurate information”, Proceedings of International Mathematical Conference «50 Years of IPPI» (Moscow, 2011), IPPI (CD-ROM), Moscow, 2011, 1-7
50.
K. Yu. Osipenko, “Extremal problems for the generalized heat equation and optimal recovery of its solution from inaccurate data”, Optimization, 60:6 (2011), 755-767
N. D. Vysk, K. Yu. Osipenko, Lineinaya algebra i analiticheskaya geometriya, MATI-RGTU, kaf. «Vyssh. mat.», 1-203, 2011
52.
G. G. Magaril-Ilyaev, K. Yu. Osipenko, “Neravenstvo Khardi-Littlvuda-Polia i vosstanovlenie proizvodnykh po netochnoi informatsii”, Dokl. RAN, 438:3 (2011), 300-302
G. G. Magaril-Il'yaev, K. Yu. Osipenko, “On Optimal Harmonic Synthesis from Inaccurate Spectral Data”, Funct. Anal. Appl., 44:3 (2010), 223–225
54.
G. G. Magaril-Il'yaev, K. Yu. Osipenko, “On the reconstruction of convolution-type operators from inaccurate information”, Proc. Steklov Inst. Math., 269 (2010), 174–185
55.
D. Haltar, K. Yu. Osipenko, V. M. Tikhomirov, “On the pasture territories covering maximal grass”, Optimization and Optimal Control. Theory and Applications, in Springer Optimization and Its Applications, 39 (2010), 449-461
56.
K. Yu. Osipenko, “Hadamard type extremal problems and optimal recovery of analytic functions”, Intern. Conf. Recent Advances in Function Related Operator Theory (Rincon, Puerto Rico, 2010), Rincon, 2010, 12-14
57.
K. Yu. Osipenko, M. I. Stessin, “Hadamard and Schwarz type theorems and optimal recovery in spaces of analytic functions”, Constr. Approx., 31:1 (2010), 37-67
G. G. Magaril-Ilyaev, K. Yu. Osipenko, V. M. Tikhomirov, “Vosstanovlenie funktsii i ikh proizvodnykh po netochno zadannomu spektru”, Matematika, informatika, ikh prilozheniya i rol v obrazovanii: Trudy Rossiiskoi shkoly-konferentsii s mezhdunarodnym uchastiem, RUDN, Moskva, 2010, 311-319
59.
K. Yu. Osipenko, “Vosstanovlenie funktsii i ikh proizvodnykh po netochno zadannym koeffitsientam Fure”, Aktualnye napravleniya razvitiya prikladnoi matematiki v energetike, energoeffektivnosti i informatsionno-kommunikatsionnykh tekhnologiyakh, MGTU im. N.E. Baumana, Moskva, 2010, 225-228
K. Yu. Osipenko, “Optimalnoe vosstanovlenie funktsii po ikh koeffitsientam Fure”, Matematicheskii analiz i matematicheskoe modelirovanie: tr. mezhdunar. konf. molodykh uchen. (Vladikavkaz, 2010 g.), YuMI VNTs RAN, Vladikavkaz, 2010, 55-62
62.
K. Yu. Osipenko, “Ekstremalnye zadachi interpolyatsionnogo tipa i optimalnoe vosstanovlenie lineinykh operatorov”, Vestnik TGU: Ser. estestv. i tekhn. nauki, 15:1 (2010), 437-447
2009
63.
G. G. Magaril-Il'yaev, K. Yu. Osipenko, “Optimal recovery of the solution of the heat equation from inaccurate data”, Sb. Math., 200:5 (2009), 665–682
64.
G. G. Magaril-Il'yaev, K. Yu. Osipenko, “Optimal recovery of functions and solutions of evolutionary equations”, Proceedings. The International Conference Nonlinear Analysis and Optimization Problems (6-10 October 2008, Budva, Montenegro), Montenegrin Academy of Science and Arts, Podgorica, 2009, 7-20
65.
K. Yu. Osipenko, “Extremal problems for the generalized heat equation and optimal recovery of its solution from inaccurate data”, Intern. Symposium on Optimization and Optimal Control (ISO2C) (Kaohsiung, Taiwan, 2009), National Sun Yat-sen University, 2009, 19
66.
K. Yu. Osipenko, “Extremal problems of the Hadamar three-circle theorem types and optimal recovery of operators”, Control and Optimization of Dynamical Systems, Abstracts of International Conference (Tashkent, 2009), 2009, 85
67.
K. Yu. Osipenko, “Hardy-Littlewood-Polya inequality and the Hadamar three-circle theorem”, Mezhdunarodnaya konferentsiya «Optimizatsiya i approksimatsiya» (Moskva, 2009 g.), MGU, Moskva, 2009, 6
68.
K. Yu. Osipenko, M. I. Stessin, “Schwarz lemma and optimal recovery of functions in $H^2$”, Proceedings. The International Conference Nonlinear Analysis and Optimization Problems (6-10 October 2008, Budva, Montenegro), Montenegrin Academy of Science and Arts, Podgorica, 2009, 21-30
69.
G. G. Magaril-Ilyaev, K. Yu. Osipenko, “Nekotorye zadachi optimalnogo vosstanovleniya lineinykh operatorov”, Sovremennye problemy matematiki i mekhaniki. T.3. Matematika, vyp. 1, MGU, Moskva, 2009, 129-142
70.
G. G. Magaril-Ilyaev, K. Yu. Osipenko, “Optimalnoe vosstanovlenie operatorov po netochnoi informatsii”, Matematicheskii forum. T.2. Issledovaniya po matematicheskomu analizu, VNTs RAN, Vladikavkaz, 2009, 158-192
71.
K. Yu. Osipenko, M. I. Stessin, Optimal recovery of traces in Hardy spaces, preprint, 2009, 16 pp.
2008
72.
G. G. Magaril-Ilyaev, K. Yu. Osipenko, “Vosstanovlenie resheniya uravneniya teploprovodnosti po netochnym izmereniyam”, 3-ya Mezhdunarodnaya konferentsiya «Funktsionalnye prostranstva. Differentsialnye operatory. Obschaya topologiya. Problemy matematicheskogo obrazovaniya». Tezisy dokladov (Moskva, 2008), MFTI, Moskva, 2008, 153-155
73.
G. G. Magaril-Ilyaev, K. Yu. Osipenko, “O nailuchshem vybore informatsii v zadache vosstanovleniya funktsii po spektru”, Matematicheskii forum. T.1. Issledovaniya po matematicheskomu analizu, VNTs RAN, Vladikavkaz, 2008, 142-150
74.
G. G. Magaril-Ilyaev, K. Yu. Osipenko, “Ob optimalnom vosstanovlenii reshenii evolyutsionnykh uravnenii”, Mezhdunarodnaya konferentsiya «Differentsialnye uravneniya i topologiya», posvyaschennaya 100-letiyu so dnya rozhdeniya L.S. Pontryagina, Tezisy dokladov (Moskva, 2008 g.), MGU, MAKS Press, Moskva, 2008, 157
75.
L. V. Agamirov, O. A. Barabanova, L. A. Muravei, M. A. Nosov, K. Yu. Osipenko, Matematicheskie metody v zadachakh prochnosti, ustoichivosti i nadezhnosti elementov konstruktsii, Nauchnyi otchet, reg. #01200850645, VNTITs, 1-32, 2008
2007
76.
N. D. Vysk, K. Yu. Osipenko, “Optimal Reconstruction of the Solution of the Wave Equation from Inaccurate Initial Data”, Math. Notes, 81:6 (2007), 723–733
77.
K. Yu. Osipenko, Optimal recovery of linear operators from inaccurate information, MATI-RSTU, Dept. of Math., 1-87, 2007
78.
K. Yu. Osipenko, E. V. Wedenskaya, “Optimal recovery of solutions of the generalized heat equation in the unit ball from inaccurate data”, J. Complexity, 23:4-6 (2007), 653-661
N. D. Vysk, K. Yu. Osipenko, Lineinaya algebra i analiticheskaya geometriya, Elektronnyi kurs (uchebnoe posobie), Poligraf-Era, 1-190, 2007
2006
80.
K. Yu. Osipenko, “The Hardy–Littlewood–Pólya inequality for analytic functions in Hardy–Sobolev spaces”, Sb. Math., 197:3 (2006), 315–334
81.
K. Yu. Osipenko, Sfericheskie garmoniki, sobstvennye funktsii operatora Laplasa i zadachi vosstanovleniya, MATI-RGTU, kaf. «Vyssh. mat.», 1-19, 2006
82.
K. Yu. Osipenko, Teoremy otdelimosti v $\mathbb R^n$ i optimalnoe vosstanovlenie, MATI-RGTU, kaf. «Vyssh. mat.», 1-11, 2006
2005
83.
G. G. Magaril-Il'yaev, K. Yu. Osipenko, V. M. Tikhomirov, “Optimal recovery, best approximation, and extremum theory.”, Funct. Spaces, Approx. Theory, Nonlinear Analysis. Intern. Conf., dedicated to the centennial of S. M. Nikol’skii (Moscow, 2005), 2005, 327
84.
K. Yu. Osipenko, “On the Hardy-Littlwood-Polya inequality for analytic functions”, Funct. Spaces, Approx. Theory, Nonlinear Analysis. Intern. Conf., dedicated to the centennial of S. M. Nikol’skii (Moscow, 2005), 2005, 339
85.
K. Yu. Osipenko, “The Hardy-Littlwood-Polya inequality and optimal recovery of derivatives in Hardy spaces”, Comput. Methods and Funct. Theory. Intern. Conf. (Joensuu, Finland, 2005), 2005, 109
86.
K. Yu. Osipenko, “Optimal recovery of derivatives and exact inequalities in Hardy spaces”, Constr. Theory of Funct. Intern. Conf. (Varna, 2005), 2005, 27
87.
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
2004
88.
G. G. Magaril-Il'yaev, K. Yu. Osipenko, “Optimal recovery of values of functions and their derivatives from inaccurate data on the Fourier transform”, Sb. Math., 195:10 (2004), 1461–1476
89.
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
90.
G. G. Magaril-Il'yaev, K. Yu. Osipenko, V. M. Tikhomirov, “On optimal recovery of heat equation solutions”, Approximation Theory: A volume dedicated to B. Bojanov, Marin Drinov Academic Publishing House, Sofia, 2004, 163-175
91.
K. Yu. Osipenko, “Optimal recovery of linear operators”, Abstracts of International Conference «Extremal Problems and Approximation» (Moscow, 2004), MSU, Moscow, 2004, 11-12
92.
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
93.
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
2003
94.
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”, Funct. Anal. Appl., 37:3 (2003), 203–214
95.
G. G. Magaril-Il'yaev, K. Yu. Osipenko, V. M. Tikhomirov, “Indefinite Knowledge about an Object and Accuracy of Its Recovery Methods”, Problems Inform. Transmission, 39:1 (2003), 104–118
96.
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
97.
G. G. Magaril-Il'yaev, K. Yu. Osipenko, “Optimal reconstruction of derivatives on Sobolev classes”, Vladikavkaz. Mat. Zh., 5:1 (2003), 39–47
98.
G. G. Magaril-Ilyaev, K. Yu. Osipenko, “Zadachi optimalnogo vosstanovleniya v usloviyakh neopredelennosti”, Funkts. prostranstva. Diff. operatory. Probl. matem. obrazovaniya (Moskva, 2003), 2003, 69-71
2002
99.
G. G. Magaril-Il'yaev, K. Yu. Osipenko, “Optimal recovery of functions and their derivatives from Fourier coefficients prescribed with an error”, Sb. Math., 193:3 (2002), 387–407
100.
A. P. Buslaev, M. I. Goldman, G. G. Magaril-Il'yaev, K. Yu. Osipenko, V. M. Tikhomirov, Yu. A. Farkov, M. V. Yashina, “On teaching of mathematics in technical universities”, Referate des 31. Internationalen Symposiums «Ingenieur des 21. Jahrunderts» (Sankt-Petersburg, 2002), 2002, 524-525
101.
G. G. Magaril-Il'yaev, K. Yu. Osipenko, V. M. Tikhomirov, “Optimal recovery and extremum theory”, Comput. Methods Funct. Theory, 2:1 (2002), 87-112
K. Yu. Osipenko, A. V. Spivak, V. M. Tikhomirov, “Brevno v shalashe”, Kvant, 2002, no. 1,2, 9-15, 2-6
2001
103.
K. Yu. Osipenko, “Best quadrature formulae on Hardy–Sobolev classes”, Izv. Math., 65:5 (2001), 923–939
104.
K. Yu. Osipenko, “On optimal recovery methods in Hardy–Sobolev spaces”, Sb. Math., 192:2 (2001), 225–244
105.
G. G. Magaril-Il'yaev, K. Yu. Osipenko, V. M. Tikhomirov, “Optimal reconstruction and the theory of extremum”, Dokl. Math., 64:1 (2001), 32–35
106.
K. Yu. Osipenko, “Optimal recovery and best quadratures for Hardy-Sobolev classes”, Numerical Integration and its Complexity, 50/2001 (Oberwolfach, 2001), Mathematisches Forschungsinstitut Oberwolfach, 2001, 9
107.
G. G. Magaril-Il'yaev, K. Yu. Osipenko, V. M. Tikhomirov, “On exact values of $n$-widths in a Hilbert space”, J. Approx. Theory, 108:1 (2001), 97-117
K. Yu. Osipenko, “Optimal recovery in Hardy-Sobolev spaces and an analogue of splines for analytic functions”, Comp. Meth. and Funct. Theory (Portugal, Aveiro, 2001), Univ. de Aveiro, 2001, 73
109.
V. V. Gorbatsevich, K. Yu. Osipenko, Uravneniya s chastnymi proizvodnymi pervogo poryadka i klassifikatsiya lineinykh uravnenii vtorogo poryadka, MATI-RGTU, kaf. «Vyssh. mat.», 1-15, 2001
2000
110.
K. Yu. Osipenko, Optimal Recovery of Analytic Functions, Nova Science Publishers, Inc., Huntington, New York, 2000, 220 pp.
111.
K. Yu. Osipenko, “Optimal recovery of analytic functions from Hardy-Sobolev spaces”, 4th Intern. Conf. on Func. Analysis and Approx. Theory (Acquafredda di Maratea, 2000), 2000, 43
112.
K. Yu. Osipenko, “Metod parametrizatsii v zadachakh optimalnogo vosstanovleniya”, Vestn. Tambov. un-ta. Ser. Estestv. i tekhnich. nauki, 5:4 (2000), 480-481
113.
K. Yu. Osipenko, “O nailuchshikh kvadraturnykh formulakh v prostranstvakh Khardi $H_p$”, Nauchnye trudy MATI, 3(75), MATI, Moskva, 2000, 327-330
114.
R. I. Bogdanov, E. V. Vvedenskaya, V. V. Gorbatsevich, R. D. Kulakova, A. M. Nikulin, K. Yu. Osipenko, Yu. V. Selivanov, E. I. Shifrin, Razrabotka kachestvennoi teorii neklassicheskikh uravnenii matematicheskoi fiziki i mekhaniki, Nauchnyi otchet, 02.20.0005268, VNITTs, 1-54, 2000
1999
115.
K. Yu. Osipenko, “Optimal recovery of the derivative of periodic analytic functions from Hardy classes”, J. Approx. Theory, 97:2 (1999), 384-395
116.
O. Yu. Agareva, E. V. Vvedenskaya, K. Yu. Osipenko, MAPLE v kurse matematicheskogo analiza. Differentsirovanie funktsii, MATI-RGTU, kaf. «Vyssh. mat.», 1-20, 1999
117.
O. Yu. Agareva, E. V. Vvedenskaya, K. Yu. Osipenko, MAPLE v kurse matematicheskogo analiza. Predel funktsii. Nepreryvnost, MATI-RGTU, kaf. «Vyssh. mat.», 1-14, 1999
1998
118.
K. Yu. Osipenko, “On optimal recovery of derivatives of analytic functions”, Teoriya priblizh. i garm. analiz, Mezhd. konf. (Tula, 1998), 1998, 292-293
119.
A. P. Buslaev, M. L. Goldman, G. G. Magaril-Ilyaev, K. Yu. Osipenko, O. V. Seleznev, V. M. Tikhomirov, Yu. A. Farkov, “Razvitie kursa matematiki v tekhnicheskikh vuzakh (problemy i perspektivy)”, Probl. inzh. obr. na poroge XXI veka (Moskva, 1998), MADI(TU), 1998, 54-55
120.
K. Yu. Osipenko, “Lemma Shvartsa v prostranstvakh Khardi i Bergmana na edinichnom share iz $\mathbb C^n$”, Nauchnye trudy MATI, 1(73), MATI, 1998, 340-343
121.
K. Yu. Osipenko, “Stepennye ryady”, Entsiklopediya dlya detei. Matematika, Avanta+, 1998, 501-503
1997
122.
K. Yu. Osipenko, “On the precise values of $n$-widths for classes defined by cyclic variation diminishing operators”, Sb. Math., 188:9 (1997), 1371–1383
123.
K. Yu. Osipenko, “Exact $n$-widths of Hardy-Sobolev classes”, Constr. Approx., 13:1 (1997), 17-27
K. Yu. Osipenko, “Approximation of analytic functions”, Approx. Theory and Numer. Methods, Intern. Conf. (Rivne, 1996), 1996, 99
127.
K. Yu. Osipenko, “On exact values of $n$-widths for classes defined by nonlinear cyclic variation diminishing operators”, 3rd Intern. Conf. on Func. Analysis and Approx. Theory (Acquafredda di Maratea, 1996), 1996, 73
128.
K. Yu. Osipenko, “Optimal recovery of functions in $H_{2,\beta}$”, Intern. Conf. on Approx. Theory (Kaluga, 1996), 1996, 247-248
129.
K. Yu. Osipenko, “Optimal recovery of periodic functions from Fourier coefficients given with an error”, J. Complexity, 12:1 (1996), 35-46
K. Yu. Osipenko, “Exact values of $n$-widths and optimal quadratures on classes of bounded analytic and harmonic functions”, J. Approx. Theory, 82:1 (1995), 156-175
K. Yu. Osipenko, “Optimalnoe vosstanovlenie v prostranstvakh Khardi i Bergmana na edinichnom share iz $\mathbb C^n$”, Nelin. analiz i ekstrem. zadachi, Vyp. 2. Tr. probl. nauchno-issled. lab. ekstrem. zadach Dag. gos. universiteta, Makhachkala, 1995, 73-94
K. Yu. Osipenko, “On $n$-widths, optimal quadrature formulas, and optimal recovery of functions analytic in a strip”, Russian Acad. Sci. Izv. Math., 45:1 (1995), 55–78
1994
137.
K. Yu. Osipenko, “Inequalities for derivatives of functions analytical in a strip”, Math. Notes, 56:4 (1994), 1069–1074
1995
138.
K. Yu. Osipenko, “The Carathéodory–Fejér problem and optimal recovery of derivatives in Hardy spaces”, Russian Acad. Sci. Sb. Math., 81:1 (1995), 21–33
1994
139.
K. Yu. Osipenko, “$n$-Widths and Kolmogorov's inequality in Hardy-Sobolev classes”, Special Semester in Approx. Theory (Izrael, Spring 1994), 1994, 98-99
140.
K. Yu. Osipenko, “Optimal recovery of analytic functions from their Fourier coefficients given with an error”, Algor. and Complexity for Continuos Problems, Dagstuhl-Seminar-Report; 101, 1994, 14-15
141.
K. Yu. Osipenko, “Optimalnoe vosstanovlenie lineinykh funktsionalov na klassakh analiticheskikh funktsii”, Nelin. analiz i ekstrem. zadachi, Vyp. 1. Tr. probl. nauchno-issled. lab. ekstrem. zadach Dag. gos. universiteta, IPTs DGU, Makhachkala, 1994, 52-68
142.
K. Yu. Osipenko, Approksimatsiya funktsii mnogochlenami i chislennoe differentsirovanie, MGATU, kaf. «Vyssh. mat.», 1-32, 1994
1993
143.
K. Yu. Osipenko, “Optimal recovery of derivatives of bounded analytic and harmonic functions from inaccurate data”, Math. Notes, 53:5 (1993), 513–520
144.
K. Yu. Osipenko, M. I. Stesin, “On some problems of optimal recovery of analytic and harmonic functions from inaccurate data”, Siberian Math. J., 34:3 (1993), 523–539
145.
K. Yu. Osipenko, “Optimalnaya kvadraturnaya formula na klasse periodicheskikh analiticheskikh funktsii”, Mezhd. konf. po teorii pribl. i zadacham vych. mat. (Dnepropetrovsk, 1993), 1993, 221
146.
K. Yu. Osipenko, Optimalnoe vosstanovlenie lineinykh funktsionalov na klassakh analiticheskikh funktsii, Avtoreferat dokt. diss., MIRAN, Moskva, 1993, 35 pp.
147.
K. Yu. Osipenko, Optimalnoe vosstanovlenie lineinykh funktsionalov na klassakh analiticheskikh funktsii, Dokt. diss., MGATU, Moskva, 1993, 323 pp.
1992
148.
K. Yu. Osipenko, “Minimal Blaschke products and optimal quadrature formulae in $H_\infty$”, Optimal Recovery, Proc. of the Second Intern. Symposium on Optimal Algorithms, Varna, 1989, Nova Science Publ., Inc., 1992, 247-254
149.
K. Yu. Osipenko, M. I. Stessin, “On optimal recovery of a holomorphic function in the unit ball of $\mathbb C^n$”, Constr. Approx., 8:2 (1992), 141-159
K. Yu. Osipenko, M. I. Stessin, “On some problems of optimal recovery of analytic and harmonic functions from inaccurate data”, J. Approx. Theory, 70:2 (1992), 206-228
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