Recent Publications of K. Yu. Osipenko

(since 1995)

  1. Optimal recovery of linear functionals and operators, Communication on Applied Mathematics and Computation, 30, 4 (2016), 459-481 (pdf).
  2. Convex analysis, MAI, Dept. of Math., 2016, 1-66 (pdf, in Russian). 
  3. On recovery of signals from the spectrum, Proceedings of the International Summer Mathematical Stechkin School-Conference on Function Theory, Dushanbe, 2016, 151-160 (with G.G. Magaril-Il’yaev) (pdf, in Russian).
  4. Exactness and optimality of methods for recovering functions from their spectrum, Trudy Mat. Inst. Steklov, 293 (2016), 201-216; English transl. in Proceedings of the Steklov Institute of Mathematics, 293 (2016), 194-208 (with G.G. Magaril-Il'yaev) (pdf).
  5. Optimal recovery of operators and multidimensional Carlson type inequalities, J. Complexity, 32, 1 (2016), 53-73 (pdf).
  6. Optimal recovery of linear operators from inaccurate information, Mathematical Analysis and Mathematical Modeling. Proceedings of the International Conference of Young Scientists, Vladikavkaz, 2015, 43-68 (pdf).
  7. Optimal recovery of a function from its inaccurately given spectrum. International Conference “Functional Spaces and Function Approximation Theory” dedicated to the 110th anniversary of academician S.M. Nikolskii. MIAN. M. 2015, 176 (with G.G. Magaril-Il’yaev) (pdf, in Russian). 
  8. The best approximation of a set whose elements are known approximately, Fundamentalnaya i Prikladnaya Matematika, 19, 5 (2014), 127-141; English transl. in Journal of Mathematical Sciences, 218, 5 (2016), 636-646 (with G.G. Magaril-Il'yaev and E.O. Sivkova). (pdf, in Russian).
  9. Calculus of variations and optimal control. "MATI" - RSTU, Dept. of Math., 2014, 1-56 (pdf, in Russian). 
  10. On the best recovery methods of derivatives on Sobolev classes, Izv. Ross. Akad. Nauk. Ser. Mat., 78, 6 (2014), 83-102; English transl. in Izvestiya: Mathematics, 78, 6 (2014), 1138-1157 (with G.G. Magaril-Il'yaev) (pdf, in Russian).
  11. Optimal recovery of linear operators in non-Euclidean metrics, Mat. Sb.205, 10 (2014), 77-106; English transl. in Sbornic: Mathematics, 205, 10 (2014), 1442-1472 (pdf).
  12. On best harmonic synthesis of periodic functions, Fundamentalnaya i Prikladnaya Matematika, 18, 5 (2013), 155-174; English transl. in Journal of Mathematical Sciences (New York), 209, 1 (2015), 115-129 (with G.G. Magaril-Il'yaev) (pdf).
  13. On optimal recovery of solutions to difference equations from inaccurate data, Problemy Matematicheskogo Analiza, 69 (2013), 47-54; English transl. in Journal of Mathematical Sciences (New York), 189, 4 (2013), 596-603 (with G.G. Magaril-Il'yaev) (pdf).
  14. Equations of hyperpolic type. Student solutions manual. v. 2, "MATI" - RSTU, Dept. of Math., 2013, 1-24 (with E.V. Vvedenskaya, V.V. Gorbatzevich). (pdf, in Russian).
  15. Discrete analog of Taikov's inequality and recovery od sequence given with an error, Mat. Zametki, 92, 4 (2012), 515-527; English transl. in Math. Notes, 92, 4 (2012), 18-29 (with E.V. Vvedenskaya) (pdf).
  16. How best to recover a function from its inaccurately given spectrum? Mat. Zametki, 92, 1 (2012), 59-67; English transl. in Math. Notes, 92, 1 (2012), 51-58 (with G.G. Magaril-Il'yaev) (pdf).
  17. Linear algebra and analytical geometry. "MATI" - RSTU, Dept. of Math., 2011, 1-203 (with N.D. Vysk). (pdf, in Russian).
  18. Extremal problems for the generalized heat equation and optimal recovery of its solution from inaccurate data, Optimization, 60, 6 (2011), 755-767 (pdf).
  19. How to recover functions from inaccurate information, Proceedings of International Mathematical Conference "50 Years of IPPI"Moscow, 2011, 1-7 (CD-ROM) (with G.G. Magaril-Il'yaev) (pdf).
  20. Hardy-Littlewood-Polya inequality and recovery of derivatives from inaccurate data, Dokl. Akad. Nauk, 438, 3 (2011), 300-302; English transl. in Dokl. Math., 83, 3 (2011) (with G.G. Magaril-Il'yaev). (pdf).
  21. Recovery of functions and their derivatives from inaccurate spectral data. Mathematics, Informatics, their Applications and a Role in Education: Proceedings of the Russian School Conference with the International Participation. Moscow. PFUR, 2010, 311-319 (with. G.G. Magaril-Il'yaev and V.M. Tikhomirov). (pdf, in Russian).
  22. Optimal recovery of functions from their Fourier coefficients, Mathematical Analysis and Mathematical Modeling. Proceedings of International Conference of Young Scientists. Vladikavkaz. VSC RAS, 2010, 55-62. (pdf, in Russian).
  23. Recovery of functions and their derivatives from inaccurate Fourier coefficients, Actual Directions of Development of Applied Mathematics in Power, Power Efficiency and Information-Communication Technologies, Moscow, MSTU, 2010, 225-228. (pdf, in Russian).
  24. On optimal harmonic synthesis from inaccurate spectral data, Funkc. analiz i ego prilozh., 44:3 (2010), 76-79; English transl. in Funct. Anal and Its Appl., 44:3 (2010), 223-225 (with G.G. Magaril-Il'yaev) (pdf).
  25. How to recover a function from its Fourier coefficients given inaccurately in the best way? International Conference "The Twenty First Crimean Autumn Mathematical School-Symposium" ("KROMSH-2010"). Book of Abstracts. Simpheropol, 2010, 36 (pdf, in Russian).
  26. On the pasture territories covering maximal grass, Optimization and Optimal Control. Theory and Applications, in Springer Optimization and Its ApplicationsSpringer, Vol. 39, 2010, 449-461 (with D. Haltar and V.M. Tikhomirov) (pdf).
  27. On reconstruction of convolution-type operators from inaccurate information, Trudy Mat. Inst. Steklov, 269 (2010), 181-192; English transl. in Proceedings of the Steklov Institute of Mathematics, 269 (2010), 174-185 (with G.G. Magaril-Il'yaev) (pdf).
  28. Extremal problems of interpolation type and optimal recovery of linear operators, Tambov University Reports: Series Natural and Technical Sciences, 15, 1 (2010), 437-447 (pdf, in Russian).
  29. Hadamard type extremal problems and optimal recovery of analytic functions, Intern. Conf. Recent Advances in Function Related Operator Theory, Abstracts, Rincon, Puerto Rico, 2010, 12-14 (pdf).
  30. Hadamard and Schwarz type theorems and optimal recovery in spaces of analytic functions, Constr. Approx., 31, 1 (2010), 37-67 (with M. Stessin) (pdf).
  31. 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, 2009, Podgorica, 21-30 (with. M. Stessin) (pdf).
  32. 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, 2009, Podgorica, 7-20 (with. G.G.Magaril-Il'yaev) (pdf).
  33. Some problems of optimal recovery of linear operators, Contemporary problems of mathematics and mechanics, V.3, 1. Moscow, MSU, 2009, 129-142 (with G.G. Magaril-Il'yaev). (pdf, in Russian).
  34. Extremal problems of the Hadamar three-circle theorem types and optimal recovery of operators, Control and Optimization of Dynamical Systems, Abstracts of International ConferenceTashkent, 2009, 85 (pdf).
  35. Hardy-Littlewood-Polya inequality and the Hadamar three-circle theorem, International Conference ``Optimization and Approximation'', Abstracts, Moscow, MSU, 2009, 6 (pdf).
  36. Optimal recovery of the solution of the heat equation from inaccurate data, Mat. Sb.200 (2009), 37-54; English transl. in Sbornic: Mathematics, 200 (2009), 665-682.(with G.G. Magaril-Il'yaev). (pdf).
  37. Optimal recovery of operators from inaccurate information, Mathematical Forum. V.2. Researches on Calculus. Vladikavkaz: VSC RAS, 2008, 158-192 (with G.G. Magaril-Il'yaev). (pdf, in Russian).
  38. Extremal problems for the generalized heat equation and optimal recovery of its solution from inaccurate data, Intern. Symposium on Optimization and Optimal Control (ISO2C)National Sun Yat-sen UniversityKaohsiungTaiwan, 2009, 19 (pdf).
  39. Mathematical methods in durability, stability, and reliability problems of construction elements. Scientific report, # 01200850645, VNTIC, 2008, 1-32 (with L.V. Agamirov, O.A. Barabanova, L.A. Muravei, M.A. Nosov).
  40. On the best sampling of information in the recovery problem of functions from its spectrum, Mathematical Forum. V.1. Researches on Calculus. Vladikavkaz: VSC RAS, 2008, 142-150 (with G.G. Magaril-Il'yaev). (pdf, in Russian).
  41. On optimal recovery of evolutionary equations, International Conference "Differential Equations and Topology" dedicated to the centennial anniversary of L.S. Pontryagin, Abstracts, Ìoscow. MSU, Max Press, 2008, 157 (with G.G. Magaril-Il'yaev). (pdf, in Russian).
  42. Recovery of the heat equation solution from inaccurate observations, 3-d Imternational Conference "Functional Spaces. Differential Operators. General Topology, Problems of Mathematical Education", Abstracts, MoscowMFTI, 2008, 153-155. (with G.G. Magaril-Il'yaev). (pdf, in Russian).
  43. Linear algebra and analytical geometry. Electronic Textbook. Polygraph-Era, 2007, 1-190 (with N.D. Vysk).
  44. Optimal recovery of linear operators from inaccurate information, "MATI" - RSTU, Dept. of Math., 2007, 1-87. (pdf).
  45. Optimal recovery of solutions of the generalized heat equation in the unit ball from inaccurate data, J. Complexity, 23, 4-6 (2007), 653-661 (with E.V. Wedenskaya).
  46. Optimal reconstruction of the solution of the wave equation from inaccurate initial data, Mat. Zametki, 81, 6 (2007), 803-815; English transl. in Math. Notes, 81 (2007), 723-733.(with N.D. Vysk). (pdf).
  47. Separability theorems in $R^N$ and optimal recovery, MATI-RSTU, Dep. of Higher Mathematics, 2006, 1-11. (pdf, in Russian).
  48. Spherical harmonics, eigenfunctions of the Laplace operator, and optimal recovery, MATI-RSTU, Dep. of Higher Mathematics, 2006, 1-19. (pdf, in Russian).
  49. The Hardy-Littlewood-Polya inequality for analytic functions from Hardy-Sobolev spaces, Mat. Sb.197 (2006), 15-34; English transl. in Sbornic: Mathematics, 197 (2006), 315-334. (AmSLaTeXzip-pdf).
  50. Vladimir M. TikhomirovMoscow Mathematical Journal, 5, 1 (2005), 295 (with V. Arnold, A. Demidov, Yu. Ilyashenko, G. Magaril-Ilyaev, E. Mishchenko, A. Sossinsky, V. Tsfasman, V. Uspensky, M. Vyalyi, I. Yaschenko, M. Zelikin).
  51. The Hardy-Littlewood-Polya inequality and optimal recovery of derivatives in Hardy spaces, Comput. Methods and Funct. Theory, Intern. Conf. JoensuuFinland, 2005, 109. (pdf).
  52. Optimal recovery of derivatives and exact inequalities in Hardy spaces, Constr. Theory of Funct., Intern. Conf. Varna, 2005, 27. (pdf).
  53. On the Hardy-Littlewood-Polya inequality for analytic functions, Funct. Spaces, Approx. Theory, Nonlinear AnalysisIntern. Conf. Moscow, 2005, 339. (pdf).
  54. Optimal recovery, best approximation, and extremum theory, Funct. Spaces, Approx. Theory, Nonlinear AnalysisIntern. Conf. Moscow, 2005, 327 (with. G.G.Magaril-Il'yaev and V.M.Tikhomirov). (pdf).
  55. On recovery of the Dirichlet problem solution by inaccurate input data, Vladikavkaz Mat. Zh., 6, 4 (2004), 55-62 (zip-pdf, in Russian).
  56. 70th Birthday of Vladimir Mikhailovich TikhomirovVladikavkaz Mat. Zh., 6, 4 (2004), 5-6 (with A.V. Arutyunov, A.P. Buslaev, E.M.Galeev, M.L. Goldman, V.B. Demidovich, A.G. Kusraev, S.S. Kutateladze, G.G. Magaril-Il'yaev, and E.S. Polovinkin).
  57. Optimal recovery of linear operators, Abstracts of International Conference "Extremal Problems and Approximation", M:, MSU, 2004, 11-12 (pdf).
  58. On optimal recovery of heat equation solutions. In: Approximation Theory: A volume dedicated to B.Bojanov (D.K. Dimitrov, G.Nikolov, and R.Uluchev, Eds.), 163-175, Sofia: Marin Drinov Academic Publishing House, 2004 (with G.G. Magaril-Il'yaev and V.M. Tikhomirov). (AmSLaTeXzip-pdf).
  59. 60th Birthday of Georgii Georgievich Magaril-Il'yaevVladikavkaz MatZh., 6, 2 (2004), 61-63 (with A.VArutyunovA.PBuslaevE.MGaleevM.LGoldmanV.BDemidovichA.GKusraevS.SKutateladzeand V.MTikhomirov). (zip-pdf, in Russian).
  60. Optimal recovery of values of functions and their derivatives from inaccurate data on the Fourier transform, Mat. Sb.195 (2004), 67-82; English transl. in Sbornic: Mathematics, 195 (2004), 1461-1478 (with G.G. Magaril-Il'yaev). (AmSLaTeXzip-pdf).
  61. Optimal recovery problems under uncertain conditions, Functional Spaces. Differential Operators. Problems of Mathematical Education, Intern. Conf., Moscow, 2003, 69-71 (with G.G. Magaril-Il'yaev). (WordAmSLaTeXzip-pdf, in Russian).
  62. Optimal recovery of analytic functions by their values at an equidistant net on a circle, Vladikavkaz Mat. Zh., 5, 1 (2003), 48-52. (AmSLaTeXzip-pdf, in Russian).
  63. Optimal recovery of derivatives on Sobolev classes, Vladikavkaz Mat. Zh., 5, 1 (2003), 39-47 (with G.G.Magaril-Il'yaev). (AmSLaTeXzip-pdf, in Russian).
  64. Optimal recovery of functions and their derivatives from inaccurate information about the spectrum and inequalities for derivatives, Funkc. analiz i ego prilozh., 37 (2003), 51-64; English transl. in Funct. Anal and Its Appl., 37 (2003), 203-214 (with G.G. Magaril-Il'yaev). (AmSLaTeXzip-pdf).
  65. Indefinite knowledge about an object and accuracy of its recovery methods, Probl. Peredachi Inf., 39 (2003), 118-133; English transl. in Probl. of Inform. Transm. 39 (2003), 104-118 (with G.G. Magaril-Il'yaev and V.M. Tikhomirov). (AmSLaTeXzip-pdf).
  66. Optimal recovery and extremum theory, Comput. Methods Funct. Theory, 2 (2002), 87-112 (with G.G. Magaril-Il'yaev and V.M. Tikhomirov). (AmSLaTeXzip-pdf).
  67. On teaching of mathematics in technical universities, Referate des 31. Internationalen Symposiums "Ingenieur des 21. Jahrunderts", Sankt-Petersburg, 2002, 524-525 (with A.P. Buslaev, M.I. Goldman, G.G. Magaril-Il'yaev, V.M. Tikhomirov, U.A. Farkov, and M.V. Yashina). (AmSLaTeXzip-pdf)
  68. Optimal recovery of functions and their derivatives from Fourier coefficients prescribed with an error, Mat. Sb.193 (2002), 79-100; English transl. in Sbornic: Mathematics, 193 (2002), 387-407 (with G.G. Magaril-Il'yaev). (AmSLaTeXzip-pdf).
  69. A beam in a hut, Kvant,2002, 1, 2, 9-15, 2-6 (with A. Spivak and V. Tikhomirov). (zip-pdf1zip-pdf2, in Russian).
  70. Optimal recovery and best quadratures for Hardy-Sobolev classes, Numerical Integration and its Complexity, Mathematisches Forschungsinstitut Oberwolfach, Report ¹50/2001, 2001, 9. (AmSLaTeXzip-pdf).
  71. Partial differential equations of the first order and classification of linear equations of the second order, MATI-RSTU, Dep. of Higher Mathematics, 2001, 1-15 (with V.V. Gorbatsevich). (Wordpdf, in Russian).
  72. Best quadrature formulae on Hardy–Sobolev classes, Izv. Ross. Akad. Nauk. Ser. Mat., 65 (2001), 73-90; English transl. in Izv. Math., 65 (2001), 923-939. (AmSLaTeXzip-pdf).
  73. Optimal reconstruction and the theory of extremum, Dokl. Ross. Akad. Nauk, 379 (2001), 161-164; English transl. in Doklady Mathematics, 64 (2001), 32-35 (with G.G. Magaril-Il'yaev and V.M. Tikhomirov). (AmSLaTeXzip-pdf, in Russian).
  74. Optimal recovery in Hardy-Sobolev spaces and an analogue of splines for analytic functions,Comp. Meth. and Funct. Theory 2001, Univ. de Aveiro, 2001, 73. (AmSLaTeXzip-pdf).
  75. On optimal methods of recovery in Hardy-Sobolev spaces, Mat. Sb., 192 (2001), 67-86; English transl. in Sbornic: Mathematics,192 (2001), 225-244. (AmSLaTeXzip-pdf).
  76. On exact values of n-widths in a Hilbert space, J. Approx. Theory, 108 (2001), 97-117 (with G.G. Magaril-Il'yaev and V.M. Tikhomirov). (LaTeXzip-pdf).
  77. Development of qualitative theory of nonclassical equations of mathematical physics and mechanics, Scientific report, 02.20.0005268, VNTIC, 2000, 1-54 (with R.I. Bogdanov, E.V. Vvedenskaya, V.V. Gorbatsevich, R.D. Kulakova, A.M. Nikulin, Yu.V. Selivanov, and E.I. Shifrin). (AmSLaTeXzip-pdf, in Russian).
  78. Optimal Recovery of Analytic Functions, Nova Science Publishers, Inc., HuntingtonNew York, 2000.
  79. The method of parametrization in optimal recovery problems, Vestn. Tambov. Univ. Ser. Estestv. i tehnich. nauki. 5 (2000), 480-481. (LaTeXzip-pdf, in Russian).
  80. Optimal recovery of analytic functions from Hardy-Sobolev spaces,4th Intern. Conf. on Func. Analysis and Approx. Theory, Acquafredda di Maratea, 2000, 43. (LaTeXzip-pdf).
  81. On best quadrature formulas on the Hardy spaces $H_p$, Proceedings of MATI, 3(75), Moscow, 2000, 327-330. (Wordzip-pdf, in Russian).
  82. MAPLE in the course of mathematical analysis. Differentiation of functions, MATI-RSTU, Dep. of Higher Mathematics, 1999, 1-20 (with O.Yu. Agareva and E.V. Vvedenskaya). (Wordzip-pdf, in Russian).
  83. MAPLE in the course of mathematical analysis. Limits of functions. Continuity, MATI-RSTU, Dep. of Higher Mathematics, 1999, 1-14 (with O.Yu. Agareva and E.V. Vvedenskaya). (Wordzip-pdf, in Russian).
  84. Optimal recovery of the derivative of periodic analytic functions from Hardy classes, J. Approx. Theory, 97 (1999), 384-395. (LaTeXzip-pdf).
  85. Development of course of mathematics in technical high schools (problems and prospects), Problems of Engineering Education at the Beginning of XXI Century, MADI(TU), Moscow 1998, 54-55 (with A.P. Buslaev, M.L. Gol'dman, G.G. Magaril-Il'yaev, O.V. Seleznev, V.M. Tikhomirov, and Yu.A. Farkov).
  86. Power series, Encyclopedia for Children, Mathematics, Avanta+, Moscow, 1998, 501-503. (LaTeXzip-pdf, in Russian).
  87. On optimal recovery of derivatives of analytic functions, Approx. Theory and Harmonic Analysis, Intern. Conf., Tula, 1998, 292-293 (LaTeXzip-pdf).
  88. The Schwartz Lemma in the Hardy and Bergman spaces on the unit ball of ${\bf C}^n$, Proceedings of MATI, 1(73), Moscow, 1998, 340-343. (Wordzip-pdf, in Russian).
  89. On optimal recovery of periodic analytic functions, Comput. Methods and Funct. Theory `97, Intern. Conf., Nicosia, 1997, 32. (LaTeXzip-pdf).
  90. On exact values of n-widths for classes defined by cyclic variation diminishing operators, Mat. Sb., 188 (1997), 113-126; English transl. in Sbornic: Mathematics, 188 (1997), 1371-1383. (AmSTeXzip-pdf).
  91. Optimal information for approximating periodic analytic functions, Math. Comput., 66 (1997), 1579-1592 (with K. Wilderotter). (AmSTeXzip-pdf).
  92. Exact n-widths of Hardy-Sobolev classes, Constr. Approx., 13 (1997), 17-27. (LaTeXzip-pdf).
  93. 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, 73. (TeXzip-pdf).
  94. Optimal recovery of periodic functions from Fourier coefficients given with an error, J. Complexity, 12 (1996), 35-46. (AmSTeXzip-pdf).
  95. Optimal recovery of functions in $H_{2,\beta}$, Intern. Conf. on Approx. Theory, Kaluga, 1996, 247-248. (LaTeXzip-pdf).
  96. Approximation of analytic functions, Approx. theory and numer. methods. Intern. Conf. Rivne, 1996, 99. (LaTeXzip-pdf).
  97. Optimal recovery in Hardy and Bergman spaces on the ball of ${\bf C}^n$, Proceedings of Research Laboratory of Extremal Problems, Dagestan State UniversityMakhachkala, 1995, 73-94. (TeXzip-pdf, in Russian).
  98. Ismagilov type theorems for linear, Gel'fand and Bernstein n-widths, J. Complexity, 11 (1995), 474-492 (with O.G. Parfenov). (AmSTeXzip-pdf).
  99. On N-widths of holomorphic functions of several variables, J. Approx. Theory, 82 (1995), 135-155.
  100. Exact values of n-widths and optimal quadratures on classes of bounded analytic and harmonic functions, J. Approx. Theory, 82 (1995), 156-175.
  101. Optimal recovery of functions from Hardy-Sobolev classes, Funct. Spaces, Approx. Theory, Nonlinear Analysis. Intern. Confer. Moscow, 1995, 350. (AmSTeXzip-pdf).
  102. Quadrature formulas, MATI, Dep. of Higher Mathematics, 1995, 1-20. (AmSTeXzip-pdf, in Russian).