**Approximation People****Aprroximation Theory Network****Autobiography****Honors and Awards****Conferences and Lectures****Curriculum Vitae****Grants****Membership****Opponent of thesis****Recent publications****Research interests****Students****Typical courses taught**

*I was born in 1950 in **Moscow**. In
1967 I entered the **Faculty of Mechanics and Mathematics** of **Moscow State University**. I
was studying at the **Department of Computer Mathematics**,
transformed in 1970 in the new **Faculty of Cybernetics and Computer Science**,
which I graduated in 1972. Then I went to the graduate school of this faculty
where my supervisor was **N.S. Bakhvalov**.*

*In 1975 I finished the graduade school and in the next year at **Moscow** **State** **University** I
defended the candidate dissertation (Ph. D.) "Best Methods of Approximation,
Using the Information about Finite Values of Functions".*

*Since December 1975 I am teaching at the **Department of Higher Mathematics** of **Moscow Institute of Aviation Technology** (in
2015 it was integrated with Moscow Aviation
Institute (National Research University)) as Assistant Professor
(1975-1979), Associate Professor (1979-1994), and Professor (since 1994).*

*Since 1981 I am a permanent participant of the seminar of **V.M. Tikhomirov** on
Approximation Theory at **Moscow** **State** **University**. In
1993 I defended doctoral dissertation "Optimal Recovery of Linear
Functionals on Classes of Analityc Functions" at **Steklov Mathematical Institute**.
Since February 1996 I am the head of Higher Mathematics Department of MATI. In
2000 and 2001 I was awarded by honorary title of Soros Professor. Since
September 2008 I also teach at the **Department of General Control**
of Mechanics and Mathematics Faculty of **Moscow** **State** **University**.**From April 2017
this is my main place of work.*

**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 Priori 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 with National
Science Council of ****Taiwan****).**

**2014. ****"The Theory of Optimal
Recovery: Methods 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 with 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 Concil 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-3233.2008.1.**

**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 Belorussian 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.**** "Optimality Conditions
in Optimality Constrained Problems and 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. ****Grant of
Moscow in the Field of Natural Sciences #P2001-432.**

**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 (Scientific
Schools of Russia).**

**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 Applications 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 (Scientific Schools of Russia).**

**1996-1998. ****"Optimal
Algorithms and Complexity of Approximation and Recovery". RFBR
#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.**** **

HONORS AND AWARDS

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

**approximation theory****recovery from noisy information****recovery and approximation of analytic functions***n***-widths****inequalities for derivatives****quadrature formulas**

**Moscow Mathematical Society (MMS)****American Mathematical Society (AMS)****Editorial Board of the journal****"Computational Methods and Function Theory"****2001-2005**

**Linear Algebra and Analytic Geometry****Mathematical Analysis****Differential Equations****Theory of Probability****Mathematical Statistics****Numerical Methods****Calculus of Variations and Optimal Control****Optimal Recovery of Linear Operators****Convex Analysis**