CURRICULUM VITAE
Konstantin Yu. Osipenko
Prof., Sci. D.
Department of General Control
Faculty of Mechanics and Mathematics
Moscow State University
Vorob'evy Gory, Main Building MSU
Moscow 119899, RussiaTel.: +7-495-939-5632
e-mail:kosipenko@yahoo.com
http://osipenko.rstu.ru
Personal Data
- Birth: February 23, 1950, Moscow, USSR
- Citizenship: Russia
- Married Status: married, two children
- 1994
Doctor of Physical-Mathematical Sciences (Sci. D.), Steklov Mathematical
Institute
- 1976
Candidate of Physical-Mathematical Sciences (Ph. D.), Moscow State University,
Faculty of Computing Mathematics and Cybernetics
- 1972
Mathematician (M. S.), Moscow State
University,
Faculty of Computing Mathematics and Cybernetics
Moscow State University,
Faculty of Mechanics and Mathematics, Department of General Control
Moscow Institute of Physics and Technology (State University),
Department of Mathematical Foundations of Control
State University of New York at Albany, Department of
Mathematics and Statistics
MATI - Russian
State Technological
University (2015 - Moscow Aviation Institute (National Research
University)), Department
of Higher Mathematics
- 1996-2017 Head of Department
- 1994-p.t. Professor
- 1979-1994 Associate Professor
- 1976-1979 Assistant Professor
- Linear Algebra and Analytic Geometry
- Mathematical Analysis
- Differential Equations
- Theory of Probability
- Mathematical Statistics
- Mathematical Physics
- Numerical Methods
- Calculus of
Variations and Optimal Control
- Optimal
Recovery of Linear Operators
- Convex
Analysis
Participation in Conferences
- 2024 Moscow
(Russia), Moscow (Russia), Vladikavkaz (Russia),
Suzdal (Russia), Moscow (Russia), Vladikavkaz (Russia)
- 2023 Moscow (Russia),
Dzinaga (Russia)
- 2020 Ekaterinburg
(Russia)
(online)
- 2019 Dolgoprudny
(Russia)
- 2018 Moscow (Russia)
- 2016 Hangzhou (China)
- 2015 Moscow (Russia)
- 2014 Sao Jose do
Rio Preto (Brazil),
Tsey (Russia),
Moscow
(Russia)
- 2013 Moscow (Russia)
- 2012 Moscow (Russia), Tambov (Russia)
- 2011 Moscow (Russia),
Tambov
(Russia),
Moscow
(Russia),
Moscow
(Russia)
- 2010 Rincon
(Puerto Rico), Moscow (Russia), Vladikavkaz (Russia), Vladikavkaz
(Russia), Crimea, Laspi-Batiliman (Ukraine), Tambov (Russia), Moscow
(Russia)
- 2009
Kaohsiung (Taiwan), Moscow (Russia), Volgodonsk (Russia), Moscow (Russia),
Tashkent (Uzbekistan), Tambov (Russia)
- 2008
Moscow (Russia), Moscow (Russia), Budva (Montenegro)
- 2007 Moscow (Russia)
- 2006 Novorossisk
(Russia), Vladikavkaz (Russia), Crimea, Laspi-Batiliman (Ukraine)
- 2005
Moscow (Russia), Varna (Bulgaria), Joensuu (Finland)
- 2004 Vladikavkaz
(Russia), Yaroslavl (Russia), Petrovac (Serbia and Montenegro), Moscow
(Russia), Moscow (Russia)
- 2003
Moscow (Russia), Vladikavkaz (Russia), Moscow (Russia), Tambov (Russia)
- 2001 Aveiro (Portugal), Oberwolfach (Germany)
- 2000 Montreal (Canada),
Acquafredda di Maratea (Italy), Tambov
(Russia)
- 1998 Berlin (Germany)
- 1997 Nicosia (Cyprus)
- 1996 Moscow
(Russia),
Rivne (Ukraine),
Kaluga
(Russia),
Acquafredda di Maratea (Italy)
- 1995 Warsaw (Poland), Moscow (Russia),
- 1994
Tel Aviv (Israel),
Haifa
(Israel),
Saratov
(Russia),
Schloss Dagstuhl (Germany)
- 1991 Alushta (Ukraine)
- 1990 Krasnovidovo (Russia)
- 1989 Varna (Bulgaria)
- 1986 Chelyabinsk (Russia)
Visiting Professor
- 2016 Shanghai
(China), Shanghai University
- 2014 Sao Jose do Rio Preto (Brazil),
Universidade Estadual Paulista (UNESP)
- 2007 Albany (USA),
State University
of New York
at Albany
- 2007 Oberwolfach (Germany), Mathematisches Forschungsinstitut Oberwolfach
- 2006 Jena (Germany), Friedrich-Schiller-University
- 2006 Haifa (Israel), Technion
- 2004 Beijing (China), Institute of Automation
- 1998 Beijing (China), Institute of Mathematics
- 1997 Haifa (Israel), Technion
- 1994 Bonn (Germany), University of Bonn
- The Member of Moscow
Mathematical Society
- The Member of
American Mathematical Society (AMS)
- The Member of
Editorial Board of the journal "Computational Methods and Function
Theory" 2001-2005
- approximation theory
- optimal recovery of analytic functions
- optimal recovery from noisy information
- n-widths
- inequalities for derivatives
- quadrature formulas for analytic functions
- 2007 Award
of Ministry of Education and Science "Honorary Member of Vocational
Education of Russian Federation"
- 2005 Medal
"Minister of USSR Marshal D.F.
Ustinov"
- 2001 Soros Professor
(ISSEP)
- 2000 Soros Professor
(ISSEP)
- 1997
Medal "In Memory of 850th Anniversary of Moscow"
- 1993 Certificated Associate Professor of MATI
Listed in
- 2000
Outstanding Intellectuals of the 20th Century
- Dictionary of Internatianal Biography
- Famous Russians
- Outstanding
People of the 20th Century
- Who’s Who in
Science and Engineering
- Who’s Who in the World
- 2017-2019 "Controllability
and Optimality Conditions", RFBR
#17-01-00649
- 2016-2017 The
President Grant for State Support of Leading Scientific Schools in Russian Federation
``Extremum Conditions in Problems with Constraints without any a Priory
Assumptions of Normality. Covering of Nonlinear Mappings and its
Applications. Nonlinear Evolutionary Equations. Theoretical and
Computational Aspects", NSH-8215.2016.1
- 2014-2016 "Extremum
Theory, Convex Analysis and Applications", RFBR
#14-01-00744
- 2014-2016 "Optimization
of Processes with Inaccurate Data on the Basis of Optimal Recovery
Theory", RFBR #14-01-00456
- 2014-2016 "Methods
of Nonlinear Analysis in Solving of Problems of Control and
Optimization", RFBR #14-01-92004 (joint research
National Science Council of Taiwan)
- 2014 "The
Theory of Optimal Recovery: Metods and Solutions",
FAPESP (Brazil)
#2013/15840-4
- 2013-2015 "Mathematical
Methods of Forcasting and Recovery Dependencies on Incomplete Data Using
Probabilistic, Agorithmic, and Wavelet Methods",
RFBR #13-01-12447
(oriented basic researches on actual interdisciplinary themes)
- 2012-2013 "Optimality
Conditions in Mathematical Models with Inaccurate Data'',
RFBR #12-01-90014
(joint research with Belorussian Foundation for Basic Research)
- 2012 "Development
and Application of Methods of the Functional Analysis to the Theory of
Extremum and Optimal Control, Differential Equations and Problems of
Mathematical Modeling", PFUR
- 2012-2014 "Development
of Methods of the Nonlinear Analysis and their Application to the Theory
of Dynamic Systems, Optimization, and Problems of Mathematical Modeling of
Physical Processes", PFUR
- 2012-2014 "Degenerate
Optimization Problems, and Singular Points of Extension of Solutions of
Equations of the Potential Field with Inexact Boundaries", RFBR
#12-01-00506
- 2012-2013 "Development
of Mathematical Methods for the Investigation of Problems of Control and
Optimization and their Applications", RFBR #12-01-91150
(joint research with National Natural Science Foundation of China)
- 2012-2013 The
President Grant for State Support of Leading Scientific Schools in Russian Federation
``Control Problems, Nonlinear Analysis, Optimal Numerical Algorithms,
Harmonic Analysis, and Applications", NSH-6003.2012.1
- 2011-2012 "Fundamental
Mathematical Models of Economic Agents Behavior in System of Intermediate
Term Forecasting of Russian Economic Dynamics",
RFBR #11-01-12084
(oriented basic researches on actual interdisciplinary themes)
- 2011-2013 "Theory
of Extremal Problems and the Best Approximation of Linear Operators from
Inaccurate Data", RFBR #11-01-00529
- 2010-2011 "Optimality
Conditions and Controllability for Scalar and Vector Optimization
Problems'', RFBR #10-01-90002 (joint research with Belorussian
Foundation for Basic Research)
- 2010-2012 "Optimal
Models of Recovery for Solutions of Mathematical Physics
Equations", RFBR #10-01-00188
- 2009-2011 "Abnormal
Optimal Control Problems and Constrained Extremal Problems", RFBR
#09-01-00619
- 2009-2010 "Convex
Analysis, Extremal problems, and Optimal Recovery", RFBR
#09-01-90360
(joint research with Ministry of Education and Science of Republic of
South Ossetia)
- 2009 Organization
and conduction of the International Conference "Optimization and
Approximation" dedicated to the 75th birthday of V.M. Tikhomirov,
RFBR #09-01-06097
- 2009-2011 "Topological
and Variational Methods in Optimization Problems",
RFBR #09-01-92003
(joint research National Science Council of Taiwan)
- 2009-2010 "Economic
and Geometry Extremal Problems on Equipped Surfaces",
RFBR #09-01-90200
(joint research with Ministry of Education, Culture and Science of
Mongolia)
- 2009-2011 Target
grant "Development of Scientific Potential of Higher School”,
¹2.1.1/2775. "Methods of Harmonic Analysis in Theory of
Differential Equations and Functional Spaces”
- 2009 ``Participation
in the International Symposium on Optimization and Optimal Control
(ISO2C)'', RFBR, National Science Council of the ROC,
Research Center for Nonlinear Analysis and Discrete Mathematics and
Department of Applied Mathematics, National Sun Yat-sen University
- 2008-2009 "Abnormal
Solutions of Scalar and Vector Optimization Problems and Systems with
Inaccurate Data'', RFBR #08-01-90001 (joint research with
Belorussian Foundation for Basic Research)
- 2008-2009 The
President Grant for State Support of Leading Scientific Schools in Russian Federation
``Optimal Control, Nonlinear Analysis, Optimal Numerical Algorithms,
Harmonic Analysis, and Applications", NSH-3233.2006.1
- 2008-2010 "Extremal
Problems, Best Approximation, and Optimal Recovery'',
RFBR #08-01-00450
- 2007-2008 "Extremal
Problems of Surfaces Geometry and Optimal Recovery",
RFBR #07-01-90102
(joint research with Ministry of Education, Culture and Science of
Mongolia)
- 2007. Organization
and conduction of the International Conference "Extremal Problems
in Complex and Real Analysis", RFBR #07-01-06033
- 2007 "Optimal
Recovery, Extremal Problems and Composition Operators in Spaces of
Holomorphic Functions",Mathematisches
Forschungsinstitut Oberwolfach "Research in Pairs"
- 2006-2007 "High
Order Optimality Conditions in Optimization Problems and Extremal Problems
of Optimal Recovery", RFBR #06-01-81004 (joint
research with Belorussia Foundation for Basic Research)
- 2006-2007 The
President Grant for State Support of Leading Scientific Schools in Russian Federation
``Approximation, Extremum Theory, Harmonic Analysis and their
Applications", NSH-5813.2006.1
- 2006-2008 "Optimality
Conditions for Degenerate Systems and Optimal Recovery Problems, Nash
Optimisation of Rayleigh Quotient'', RFBR
#06-01-00530
- 2005-2007 "Extremal
Problems of Approximation Theory and General Theory of Extremum'',
RFBR #05-01-00261
- 2005-2007 "Optimal
Conditions in Optimality Constrained Problems of Optimal Recovery'',
RFBR #05-01-00275
- 2005-2006 "On
Stability of Solution of Ordinary Differential Equations System Belongs to
Some Class on Planar Graphs'', RFBR #05-01-00675
- 2005 "Convex
Analysis, Extremum Theory, and Optimal Recovery of Operators", Universities
of Russia UR.04.02.536
- 2005 "Problems
of Optimal Recovery in Models Described by Parabolic and Elliptic Type
Equations", Universities of Russia UR.03.01.130
- 2004 Organization
and conduction of the International Conference "Extremal Problems
and Approximation" dedicated to the 70th birthday of V.M.
Tikhomirov, RFBR #04-01-10102
- 2004-2005 "Optimal
Recovery and Extremum Theory", Universities
of Russia UR.04.03.067
- 2003 "Development
of Mathematical Education Methodology in Technical Universities for
Training of Engineers Specialized in the Control of Complicated Transport
Systems on the Example of Methods of the Discrete Mathematics".
Ministry of Education of Russia, #410103
- 2003 "Development
of Mathematical Education Methodology in Technical Universities for
Training of Students of Natural and Engineering Specialty on the Example
of Integral Calculus". Ministry of Education of Russia, #410203
- 2003-2005 The
President Grant for State Support of Leading Scientific Schools in Russian
Federation ``Approximation, Extremum Theory, Harmonic Analysis in
Number Theory", NSH-304.2003.1
- 2002 Multimedia
Textbook "Mathematics for Engineers", Scientific
and Technical Program of Ministry of Education of Russia "Scientific,
Methodic, Material, Technical, and Information Support of Education
System" #2.7.6(43.0)99.072
- 2002-2003 "Application
of Harmonic and Wavelet-Analysis to Optimal Recovery Problems",
RFBR #02-01-39012 (joint research with National Natural Science Foundation
of China)
- 2002-2003 "Optimal
Methods for Coding of Functions", Universities
of Russia UR.04.03.013.
- 2002-2004 ``Optimal
Recovery of Functions, Operators, and Stochastic Processes'',
RFBR #02-01-00386
- 2001 Participation
in the International Conference "Computational Methods and Function
Theory 2001", National Science Foundation (USA)
- 2001 Participation
in the International Conference "Computational Methods and Function
Theory 2001", RFBR #01-01-10619
- 2000 Grant
of Moscow and International Soros Science Education Program (ISSEP)
- 2000 Participation
in the 4th International Conference on Functional Analysis and
Approximation Theory, RFBR #00-01-10870
- 2000-2002 Federal
Program on Support of Leading Scientific Schools, RFBR #00-15-96109
- 1999-2001 ``Algorithms
of Approximation and Recovery of Smooth and Analytic Functions of Many
Variables and Stochastic Processes; Their Complexity'',
RFBR #99-01-01181
- 1998-2000 ``Best
Methods of Approximation and Wavelets'', RFBR #96-01-00035 (joint
research with National Natural Science Foundation of China)
- 1997-2000 ``Development
of the Educational Scientific Center on Mechanics and its Application in
Techniques and Technology'', State Support Program on Integration of
Higher Education and Basic Science in 1997-2000, #480
- 1997-1999 ``Best
Methods of Approximation and Recovery of Smooth and Analytic Functions,
Application of Harmonic Analysis in Number Theory, Methods of Research of
Nonlinear Problems of Optimal Control'', Federal Program on Support of
Leading Scientific Schools, RFBR #96-15-96072
- 1996-1998 ``Optimal
Algorithms and Complexity of Approximation and Recovery'', RFBF
#96-01-00325
- 1995-1996 ``Selected
Chapters of Approximation and Classical Analysis'', RFBR
#95-01-02839-d (Publishing Grant)
- 1994-1995``Spectral
Theory of Nonlinear Differential Equations, Harmonic Analysis and
Approximation'', ISF, MP1000, MP1300
- 1993-1995``Best
Methods of Approximation and Recovery of Smooth and Analytic Functions'',
RFBR #93-01-00237
- 1993 ``Optimal
Recovery of Analytic Functions'', ISF
- Georgy Georgievich Magaril-Il'yaev (on his 80th anniversary), Vladikavkaz Mat. Zh., 26, 2 (2024), 133-136 (with E.R. Avakov, V.I. Burenkov, E.M. Galeev, M.L. Goldman, V.B. Demidovich, A.V. Dmitruk, A.G. Kusraev, S.S. Kutateladze, V.D. Stepanov, and V.M. Tikhomirov).
- Optimal
recovery of linear operators from information of random functions, arXiv:2405.11363, (2024), 1-15, https://doi.org/10.48550/arXiv.2405.11363.
- Recovery of
differential operators from a noisy Fourier transform, arXiv:2404.03917, (2024), 1-14, https://doi.org/10.48550/arXiv.2404.03917.
- Recovery of
analytic functions that is exact on subspaces of entire functions, Mat.
Sb., 215, 3 (2024), 100-118.
- Optimal
recovery and generalized Carlson inequality for weights with symmetry
properties, J. Complexity, 81 (2024), 101807, pp. 35, https://doi.org/10.1016//j.jco.2023.101807.
- On the
construction of families of optimal recovery methods for linear operators,
Izv. RAN. Ser. Mat., 88, 1 (2024), 98-120; English transl. in Izv. RAN.
Ser. Mat., 88, 1 (2024), 98-120.
- Sharp
Carlson type inequalities with many weights, Trudy Inst. Mat. Mekh. UrO
RAN, 29, 4 (2023), 229-240; English transl. in Proc. Steklov Inst. Math.,
323 (2023), 211-221.
- Optimal
recovery and generalized Carlson inequality for weights with symmetry
properties, arXiv:2303.10355, (2023), 1-32, https://doi.org/10.48550/arXiv.2303.10355.
- Sharp
inequalities for derivatives and Fourier transform International
conference “Order Analysis and Related Problems of Mathematical Modeling.
Operator Theory and Differential Equations”, Vladikavkas, SMI VSC RAS,
2023, 35-36.
- Calculus of
Variation and Optimal Control. M.: LENAND. 2023.
- Introduction
to Optimal Recovery Theory. SPb.: Lan Publishing
House. 2022.
- Convex
Analysis. M.: LENAND. 2022.
- Optimal
recovery in weighted spaces with homogeneous weights, Mat. Sb.,
213, 3 (2022), 111-138; English transl. in Sbornic: Mathematics,
213, 3 (2022), 385-411.
- Inequalities
for derivatives with the Fourier transform, Appl. Comp. Harm. Anal., 53
(2021), 132-150.
- Optimal recovery
of pipe temperature from inaccurate measurements, Proc. Steklov Inst.
Math., 312 (2021), 207-214. (with G.G. Magaril-Il’yaev, E.O. Sivkova).
- Adaptive
and nonadaptive methods of optimal recovery of operators, Scientific
conference “Computational Mathematics and its Applications”, Dolgoprudny,
MIPT, 2019, 45-46.
- Some
problems of optimal recovery of linear operators, School-conference
“Approximation and Data Analysis 2019” (Nizhny
Novgorod), 2019, 19-20 (with G.G. Magaril-Il’yaev).
- Generalized
adaptive versus nonadaptive recovery from noisy information, J.
Complexity, 53 (2019), 162-172.
- Optimal
methods of recovery of solutions of the Dirichlet problem exact on
subspaces of spherical harmonics, Mat. Zametki, 104, 6 (2018), 803-811;
English transl. in Math. Notes, 104, 6 (2018), 781-788 (with E.A.
Balova).
- Recovery of
derivatives for functions defined on the semiaxis, J. Complexity, 48
(2018), 111-118.
- Recovering
linear operators and Lagrange function minimality condition, Sibirsky
Matem. Journal, 59, 1 (2018), 15-28; English transl. in Siberian Math.
J., 59, 1 (2018), 11-21 (with A.V. Arutyunov).
- On recovery
of the solution of the Dirichlet problem from inaccurate data. Titles and
Abstracts of Talks, International Scientific Conference “Infinite Dimensional
Analysis and Control Theory” dedicated to the cetenary of S.V. Fomin. MSU.
M. 2018, 22.
- Optimal
recovery of linear functionals and operators, Communication on Applied
Mathematics and Computation, 30, 4 (2016), 459-481.
- Convex
analysis, MAI, Dept. of Math., 2016, 1-66.
- 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).
- 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).
- Optimal
recovery of operators and multidimensional Carlson type inequalities, J.
Complexity, 32, 1 (2016), 53-73.
- 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.
- 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).
- 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).
- Calculus of
variations and optimal control, "MATI" - RSTU, Dept. of Math.,
2014, 1-56.
- 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).
- 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.
- 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).
- On optimal
recovery of solutions to difference equatios 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).
- Equations
of hyperpolic type. Student solutions manual. v. 2, "MATI" -
RSTU, Dept. of Math., 2013, 1-24 (with E.V. Vvedenskaya, V.V.
Gorbatzevich).
- Discrete
analog of Taikov's inequality and recovery of 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).
- How best to
recover a function from its inaccurately given spectrum? Mat. Zametki,
92, 1 (2012), 59-67; English transl. in Math. Notes, 92 (2012),
51-58 (with G.G. Magaril-Il'yaev).
- Linear
algebra and analytical geometry, "MATI" - RSTU, Dept. of
Math., 2011, 1-203 (with N.D. Vysk).
- Extremal
problems for the generalized heat equation and optimal recovery of its
solution from inaccurate data, Optimization, 60, 6 (2011), 755-767.
- 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).
- 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).
- 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).
- 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.
- 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.
- On optimal
harmonic synthesis from inaccurate spectral data, Funkc. nanaliz 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).
- 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.
- On the
pasture territories covering maximal grass, Optimization and Optimal
Control. Theory and Applications, in Springer Optimization and Its
Applications, Springer, Vol. 39, 2010, 449-461 (with D. Haltar and
V.M. Tikhomirov).
- 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).
- Extremal
problems of interpolation type and optimal recovery of linear operators, Tambov
University Reports: Series Natural and Technical Sciences, 15, 1
(2010), 437-447.
- 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.
- Hadamard
and Schwarz type theorems and optimal recovery in spaces of analytic
functions, Constr. Approx., 31, 1 (2010), 37-67 (with
M. 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, 2009, Podgorica, 21-30 (with. M. Stessin).
- 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).
- 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).
- 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, 85.
- Hardy-Littlewood-Polya
inequality and the Hadamar three-circle theorem, International
Conference ``Optimization and Approximation'', Moscow, MSU,
2009, 6.
- 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).
- 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).
- 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 University, Kaohsiung, Taiwan, 2009, 19.
- 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).
- 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).
- 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).
- Recovery of
the heat equation solution from inaccurate observations, 3-d
International Conference "Functional Spaces. Differential Operators.
General Topology, Problems of Mathematical Education", Abstracts,
Moscow. MFTI, 2008, 153-155
- Linear
algebra and analytical geometry. Electronic Textbook. Polygraph-Era,
2007, 1-190 (with N.D. Vysk).
- Optimal
recovery of linear operators from inaccurate information, MATI-RSTU,
Dep. of Mathematics, 2007, 1-87.
- 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).
- Optimal
recovery of the wave equation solution by inaccurate input data, Mat. Zametki,
81, 6 (2007), 803-815; English transl. in Math. Notes 81 (2007), 723-733
(with N.D. Vysk).
- Separability
theorems in $R^N$ and optimal recovery, MATI-RSTU, Dep. of Higher
Mathematics, 2006, 1-11.
- Spherical
harmonics, eigenfunctions of the Laplace
operator, and optimal recovery, MATI-RSTU, Dep. of Higher Mathematics,
2006, 1-19.
- 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.
- Vladimir M.
Tikhomirov, Moscow
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).
- The
Hardy-Littlewood-Polya inequality and optimal recovery of derivatives in
Hardy spaces, Comput. Methods and Funct. Theory, Intern. Conf. Joensuu, Finland, 2005, 109.
- Optimal
recovery of derivatives and exact inequalities in Hardy spaces, Constr. Theory of Funct., Intern. Conf. Varna, 2005, 27.
- On the
Hardy-Littlewood-Polya inequality for analytic functions, Funct. Spaces, Approx. Theory, Nonlinear Analysis. Intern. Conf. Moscow,
2005, 339.
- Optimal
recovery, best approximation, and extremum theory, Funct. Spaces,
Approx. Theory, Nonlinear Analysis. Intern. Conf. Moscow, 2005, 327
(with. G.G.Magaril-Il'yaev and V.M.Tikhomirov).
- On recovery
of the Dirichlet problem solution by inaccurate input data, Vladikavkaz
Mat. Zh.,
6, 4 (2004), 55-62.
- 70th
Birthday of Vladimir Mikhailovich Tikhomirov, Vladikavkaz 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).
- Optimal
recovery of linear operators, Abstracts of International Conference
"Extremal Problems and Approximation", M:,
MSU, 2004, 11-12.
- 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).
- 60th
Birthday of Georgii Georgievich Magaril-Il'yaev, Vladikavkaz Mat. Zh.,
6, 2 (2004), 61-63 (with A.V. Arutyunov, A.P. Buslaev, E.M. Galeev, M.L.
Goldman, V.B. Demidovich, A.G. Kusraev, S.S. Kutateladze, and V.M.
Tikhomirov).
- 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), 1461-1476
(with G.G. Magaril-Il'yaev).
- 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).
- Optimal
recovery of analytic functions by their values at an equidistant net on a
circle, Vladikavkaz Mat. Zh., 5, 1 (2003), 48-52.
- Optimal
recovery of derivatives on Sobolev classes, Vladikavkaz Mat. Zh., 5, 1
(2003), 39-47 (with G.G. Magaril-Il'yaev).
- 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).
- 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).
- Optimal
recovery and extremum theory, Comput. Methods Funct. Theory, 2
(2002), 87-112 (with G.G. Magaril-Il'yaev and V.M. Tikhomirov).
- 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).
- 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).
- A beam in a
hut, Kvant, 1, 2 (2002), 9-15, 2-6 (with
A. Spivak and V. Tikhomirov).
- Optimal
recovery and best quadratures for Hardy-Sobolev classes, Numerical
Integration and its Complexity, Mathematisches Forschungsinstitut
Oberwolfach, Report ¹50/2001, 2001, 9.
- 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. Gorbatzevich).
- 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.
- Optimal
reconstruction and the theory of extremum,Dokl.
Ross. Akad. Nauk, 379 (2001), 161-164; Tnglish transl. in Doklady
Mathematics, 64 (2001), 32-35 (with G.G. Magaril-Il'yaev and V.M.
Tikhomirov).
- 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.
- On optimal
methods of recovery in Hardy-Sobolev spaces, Mat. Sb.,
192 (2001), 67-86; English transl. in Sbornic:
Mathematics, 192 (2001), 225-244.
- 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).
- 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, and others).
- Optimal
Recovery of Analytic Functions, Nova Science Publishers, Inc., Huntington, New York, 2000.
- The method of
parametrization in optimal recovery problems, Vestn. Tambov. Univ. Ser. Estestv. i tehnich. nauki. 5 (2000), 480-481.
- Optimal
recovery of analytic functions in Hardy-Sobolev spaces, 4th Intern.
Conf. on Func. Analysis and Approx. Theory, Acquafredda di Maratea,
2000, 43.
- On best
quadrature formulas on the Hardy spaces $H_p$, Proceedings of MATI,
3(75), Moscow,
2000, 327-330.
- MAPLE in
the course of mathematical analysis. Differentiation of functions, MATI-RSTU,
Dep. of Higher Mathematics, 1999, 1-20 (with O.Yu.
Agareva, E.V. Vvedenskaya).
- MAPLE in
the course of mathematical analysis. Limits of functions. Continuity, MATI-RSTU,
Dep. of Higher Mathematics, 1999, 1-14 (with O.Yu. Agareva, E.V.
Vvedenskaya).
- Optimal
recovery of the derivative of periodic analytic functions from Hardy
classes, J. Approx. Theory, 97 (1999), 384-395.
- On optimal
recovery of derivatives of analytic functions, Approx. Theory and Harmonic Analysis, Intern. Conf., Tula, 1998,
292-293.
- 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. I. Gol'dman, G. G.
Magaril-Il'yaev, O. V. Seleznev, V. M. Tikhomirov, and Yu. A. Farkov).
- Power series,
Encyclopedia for Children, Mathematics, Avanta+, Moscow, 1998, 501-503.
- 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.
- On optimal
recovery of periodic analytic functions, Comput. Methods and Func.
Theory `97, Intern. Conf., Nicosia,
1997, 32.
- On the precise
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.
- Optimal
information for approximating periodic functions, Math. Comput., 66 (1997), 1579-1592 (with
K. Wilderotter).
- Exact
$n$-widths of Hardy-Sobolev classes, Constr. Approx., 13 (1997), 17-27.
- 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.
- Optimal
recovery of periodic functions from Fourier coefficients given with an
error, J. Complexity, 12 (1996), 35-46.
- Optimal
recovery of functions in $H_{2,\beta}$, Intern.
Conf. on Approx. Theory, Kaluga, 1996, 247-248.
- Approximation
of analytic functions, Approx. Theory and Numer. Methods,
Intern. Conf., Rivne, 1996, 99.