Serdyuk Anatolii

Serdyuk Anatolii



Education

    Graduated Department of Physics and Mathematicsof Kamianets-Podilsky State Pedagogical Institute in 1992.

    In 1992-1995 he studied at the graduate Institute of Mathematics of NAS of Ukraine.

    In 2002-2005 he was studying in the doctoral Institute of Mathematics of NAS of Ukraine.

    Dissertations

      In 1995 defended Candidate Dissertation "Estimates of widths of classes of $
      (\psi,\beta)$-differentiable functions" (speciality 01.01.01 - "Mathematical Analysis") in the Institute of Mathematics of the National Academy of Sciences of Ukraine in November 1995 under supervision of Corresponding Member of NAS of Ukraine O.I.STEPANETS.

      In 2006 defended Dissertation for a doctor's degree (Physics and Mathematics) “Extremal problems of the approximation theory on classes of infinitely differentiable functions” (speciality 01.01.01 - "Mathematical Analysis", Scientific adviser Corresponding Member of NAS of Ukraine O.I.STEPANETS).

      Research interests

        Main scientific interests are concentrated in the field of theory of approximation of functions of real variable.

        - Approximation of functions of real variable
        - Harmonic analysis
        - Functional spaces
        - Interpolation functions

        Experience

          15 December 1995 - 31 January 1998 - Junior Scientific Researcher of the Department of Theory of Functions;
          1 February 1998 - 2 July 2000 - Scientific Researcher of the Department of Theory of Functions;
          3 July 2000 - 13 December 2006 - Senior Scientific Researcher of the Department of Theory of Functions;
          14 December 2006 - up today - Leading Scientific Worker of the Department of Theory of Functions.

          From 1997 to 2006 he was Scientific Secretary of the Ukrainian Mathematical Society.

          From February 2007 he is at the head of Trade Union of the Institute of Mathematics of NAS of Ukraine, he is member of the Central Committee of Trade Union of the National Academy of Sciences of Ukraine and he is member of Scientific Counsil of the Institute of Mathematics of NAS of Ukraine.

          The list of scientists who defended their dissertation's led by A.S.SERDYUK:

          - OVSII Ieugen "Approximation of classes of $(\psi,\beta)$-differentiable functions by linear methods" (2009);
          - MUSIENKO Andrey "Inequalities of Lebegs type for de laVallée Poussin sums upon sets of $(\psi,\beta)$-differentiable functions" (2013).
          - VOITOVYCH Victor "Approximation of classes $ (\ psi, \ beta)$-differentiable functions by interpolation analogues of the de la Vallée Poussin sums" (2014).
          - GRABOVA Juliana Zenoviyivna "Estimates of the deviations linear means of Fourier series on classes of $ (\ psi, \ beta) $ - differentiable functions" (2015).
          - STEPANIUK Tetiana "Approximative characteristics of classes $ (\ psi, \ beta)$-differentiable functions" (2016).
          - BODENCHUK Volodymyr "Estimates of widths of classes of $ (\ psi, \ beta) $ - differentiable functions" (2016).

          A.S. Serdyuk is a member of the editorial board of the Proceedings of the Institute of Mathematics of the National Academy of Sciences of Ukraine

          Talks on conferences

            - International Scientific Conference «Algebraic and Geometric Methods of Analysis» Devoted to 160 anniversary of Dvytro Grave (25.08.1863 - 19.12.1939) Academician of the Ukrainian Academy of Sciences, the first director of the Institute of Mathematics of NAS of Ukraine, May 29 – June 1, 2023 Odesa, Ukraine.

            - Modern Problems of Mathematics and Mechanics: PROCEEDINGS of the International Conference dedicated to the 100-th anniversary of the National Leader Heydar Aliyev, Baku, 26-28 April 2023.

            - XIX International Scientific Mykhailo Kravchuk Conference, dedicated to the 125th anniversary of Igor Sikorsky Kyiv Polytechnic Institute, October 11–12, 2023, Igor Sikorsky Kyiv Polytechnic Institute, Ukraine

            - Workshop From Modeling and Analysis to Approximation and Fast Algorithms, Hasenwinkel, September 02-06, 2023.

            - International Scientific Conference “Current Problems of Mechanics and Mathematics – 2023" (May 23–25, 2023, Lviv, Ukraine), dedicated to the 95th Birth Anniversary of Yaroslav Pidstryhach (Academician of the Academy of Sciences of Ukraine), the 45th Anniversary of the Pidstryhach Institute for Applied Problems of Mechanics and Mathematics of NAS of Ukraine, and the 70th Anniversary of the Faculty of Mechanics and Mathematics of the Ivan Franko National University of Lviv.

            - International Workshop on Current Trends in Analysis and Approximation Theory, 18th July, 2023 Rome, Italy.

            - International scientific conference «MATHEMATICS AND INFORMATION TECHNOLOGIES» dedicated to the 55th anniversary of the faculty mathematics and informatics of Yuri Fedkovich Chernivtsi National University, September 28-30, 2023.

            - Serdyuk A. S , Shydlich A.L., On new properties of infinitely differentiable periodic functions, THE INTERNATIONAL ONLINE CONFERENCE “CURRENT TRENDS IN ABSTRACT AND APPLIED ANALYSIS”, May 12-15, 2022, Ivano-Frankivsk, Ukraine, Book of Abstracts, P. 73-74. https://conference.pu.if.ua/cta/BookOfAbstracts.pdf


            - Serdyuk A. S, Sokolenko I.V., Asymptotic estimates for the widths of classes of functions of high smothness, THE INTERNATIONAL ONLINE CONFERENCE “CURRENT TRENDS IN ABSTRACT AND APPLIED ANALYSIS”, May 12-15, 2022, Ivano-Frankivsk, Ukraine, Book of Abstracts, P. 74. https://conference.pu.if.ua/cta/BookOfAbstracts.pdf

            - Serdyuk A. S, Stepaniuk T.A., Approximation of generalized Poisson integrals by trigonometric polynomials, THE INTERNATIONAL ONLINE CONFERENCE “CURRENT TRENDS IN ABSTRACT AND APPLIED ANALYSIS”, May 12-15, 2022, Ivano-Frankivsk, Ukraine, Book of Abstracts, P. 75-76. https://conference.pu.if.ua/cta/BookOfAbstracts.pdf

            - Serdyuk A., Grabova U. Uniform approximations on classes of (ψ, β)-differentiable functions by generalized Zygmund sums// International mathematical conference “THEORY OF APPROXIMATION OF FUNCTIONS AND ITS APPLICATIONS” dedicated to the 80th anniversary of Corresponding Member of NAS of Ukraine, Professor Alexander Stepanets (1942-2007), June 6 – 10, 2022, Lutsk, UKRAINE: Abstracts. – Lutsk, 2022. –P.43. https://drive.google.com/file/d/1Zgc86mKh_-m0FemBjzofrbr42mIBDWA3/view

            - Serdyuk A., Shidlich A. On new properties of infinitely differentiable periodic // International mathematical conference “THEORY OF APPROXIMATION OF FUNCTIONS AND ITS APPLICATIONS” dedicated to the 80th anniversary of Corresponding Member of NAS of Ukraine, Professor Alexander Stepanets (1942-2007), June 6 – 10, 2022, Lutsk, UKRAINE: Abstracts. – Lutsk, 2022. – P.23.
            https://drive.google.com/file/d/1Zgc86mKh_-m0FemBjzofrbr42mIBDWA3/view

            - Serdyuk A., Stepaniuk T. Approximation of generalized Poisson integrals by interpolation trigonometric polynomials // International mathematical conference “THEORY OF APPROXIMATION OF FUNCTIONS AND ITS APPLICATIONS” dedicated to the 80th anniversary of Corresponding Member of NAS of Ukraine, Professor Alexander Stepanets (1942-2007), June 6 – 10, 2022, Lutsk, UKRAINE: Abstracts. – Lutsk, 2022. –P.24. https://drive.google.com/file/d/1Zgc86mKh_-m0FemBjzofrbr42mIBDWA3/view

            - A. Serdyuk, I. Sokolenko. Uniform approximation by Fourier sums on classes of functions differentiable in the Weyl–Nady sense with a high smoothness index // International mathematical conference “THEORY OF APPROXIMATION OF FUNCTIONS AND ITS APPLICATIONS” dedicated to the 80th anniversary of Corresponding Member of NAS of Ukraine, Professor Alexander Stepanets (1942-2007), June 6 – 10, 2022, Lutsk, UKRAINE: Abstracts. – Lutsk, 2022. – P. 44. https://drive.google.com/file/d/1Zgc86mKh_-m0FemBjzofrbr42mIBDWA3/view

            - Anatoly Serdyuk, Tetiana Stepaniuk. Uniform approximations by Fourier sums on sets of convolutions of periodic functions of high smoothness // APPLIED MATHEMATICS AND INFORMATIOON TECHNOLOGY. Materials of International Scientific Conference,
            dedicated to the 60th anniversary
            of the Department of Applied Mathematics and Information Technology,September 22nd – 24th, 2022. - Chernivtsi: Chernivtsi National University , 2022. – P. 236-237. http://www.amit60.fmi.org.ua/files/AMIT2022-Materials.pdf

            - Anatoly Serdyuk, Ihor Sokolenko. Approximation by Fourier sums on classes of functions differentiable in the sense of Weyl-Nady with a high locus of smoothness in integral metrics// APPLIED MATHEMATICS AND INFORMATIOON TECHNOLOGY. Materials of International Scientific Conference, dedicated to the 60th anniversary of the Department of Applied Mathematics and Information Technology, September 22nd – 24th, 2022. - Chernivtsi: Chernivtsi National University , 2022. – P. 238-239. http://www.amit60.fmi.org.ua/files/AMIT2022-Materials.pdf

            - (Hyper)Complex Seminar 2021 in memoriam of prof. Julian Ławrynowicz, November 11-14, Będlewo, Poland.

            - 11th IEEE International Conference on Intelligent Data Acquisition and Advanced Computing Systems: Technology and Applications (IDAACS 2021), 22-25 September, 2021, Cracow, Poland

            - 9th International Online Conference on "Mathematical Analysis, Differential Equation & Applications MADEA 9" June 21-25, 2021, Bishkek, Kyrgyz Republic.

            - International Online Conference Algebraic and Geometric Methods of Analysis
            dedicate to the memory of Yuriy Trokhymchuk(17.03.1928-18.12.2019) (May 25-28, 2021 Odesa, Ukraine)

            - INTERNATIONAL ONLINE WORKSHOP ON APPROXIMATION THEORY PROGRAM (March 19–21, 2021, Ivano-Frankivsk, Ukraine)

            - 11th International Skorobohatko Mathematical Conference (October 26 – 30, 2020, Lviv, Ukraine)

            - International Scientific Conference "Theory of Approximations and Its Application" Dedicated to the 100th Anniversary of the Birth of Mykola Pavlovych Korneichuk (September 16-19, 2020, Dnipro, Ukraine)

            -International scientific online conference “Algebraic and Geometric Methods of Analysis” May 26 - 30, 2020, Odesa, Ukraine

            - All-Ukrainian Scientific Conference "Modern Problems of Probability Theory and Mathematical Analysis" (Vorokhta, February 26 - March 1, 2020)

            -All-Ukrainian scientific conference "Theory of approximations and its application" on the occasion of the 70th anniversary of Vladislav Fyodorovich Babenko (October 3-5, 2019, Dnipro, Ukraine)

            - International Conference «Problems of Theoretical and Mathematical Physics», dedicated to the 110th anniversary of the outstanding theoretician in the physical sciences and mathematician M. M. Bogolyubov (1909-1992), September 24-26, 2019, Kyiv, Ukraine

            - Hypercomplex Seminar 2019:(Hyper)Complex Analysis in Differential Equations,Geometry and Physical Applications (including (de)composition problems of binary up to senary structures in alloy and polymer physics) 7 – 14 July 2019, Bedlewo, Poland.

            - International Conference «Functional Methods in Approximation Theory, Differential Equations and Numerical Mathematics IV», Dedicated to the 100th anniversary of V. K. DZYADYK (1919-1998) Svityaz' village, Volyn' region, Ukraine, June 20 – 26, 2019.

            - International scientific conference “Algebraic and Geometric Methods of Analysis” May 28 - June 3, 2019, Odesa, Ukraine.

            - Final AMMODIT Conference “Mathematics for Life Sciences”, March 19-23, 2019, Kyiv, Ukraine.

            - "Modern problems of probability theory and mathematical analysis" National Conference, (Vorokhta, February 25 - March 1, 2019).

            - International scientific conference "Modern problems of mathematics and its application in natural sciences and information technologies" dedicated to the 50 th anniversary of the Faculty of Mathematics and Informatics, Chernivtsi, September 17-19, 2018.

            - Symposium devoted to the 80th anniversary of the birth of Academician of the National Academy of Sciences of Ukraine, professor A.M. Samoilenko, Chernivtsi, September 18, 2018.

            - "Hypercomplex Seminar 2018: (Hyper)Complex Analysis in Differential Equations, Geometry and Physical Applications" Bedlevo, POLAND, July 22-29 2018.

            - International scientific conference «Algebraic and geometric methods of analysis» May 30 - June 4, 2018, Odesa.

            - International Conference on Modern Problems of Mechanics and Mathematics
            dedicated to 90-th birth anniversary of Yaroslav Stepanovych Pidstryhach, Academician of NASU and 40-anniversary of the Institute for Applied Problems of Mechanics and Mathematics of NASU, founded by him, May 22 – 25, 2018 (L’viv, Ukraine).

            - International Conference MADEA 8"Mathematical Analysis, Differential Equation & Applications" dedicated to the 80th birthday of Academician A.M.Samoilenko Cholpon-Ata (Issyk-Kul), KYRGYZ REPUBLIC, June 17-23, 2018.

            - Ukrainian scientific conference "Modern problems of the theory of probability and mathematical analysis", Vorokhta, February 27 - March 2, 2018.

            - « Hypercomplex Seminar 2017:(Hyper)Complex and Harmonic Dynamical Modelling, Topology in Physics of Dynamical Systems and Molecular Nanoengines» Bedlevo, POLAND, July 22-29, 2017.

            -International Mathematical Conference "THEORY OF APPROXIMATION OF FUNCTIONS AND ITS APPLICATION" on the occasion of the 75th anniversary of the birth of the Corresponding Member of the National Academy of Sciences of Ukraine, Professor O.I. Stepanets (1942-2007), May 28 - June 3, 2017, Slavyansk, UKRAINE

            - Modern problems of probability theory and mathematical analysis: National Conference, Vorokhta, 22 - 25 February 2017.

            - XII Summer School "Algebra, topology analysis", 10 - 23 July , 2017,Kolochava,Mizhhirya Raion,Zakarpattia Oblast, Ukraine.

            - Modern problems of probability theory and mathematical analysis: National Conference, Vorokhta, 24 - 27 February 2016.

            - "Hypercomplex Seminar 2016: (Hyper)Complex and Harmonic Dynamical Modelling vs. Special Ternary or Quaternary Nanostructures, and Related Problems, Bedlewo, Poland, June 30- July 7 2016;

            - 7th European Congress of Mathematics, Berlin, July 18-22, 2016.

            - XI Summer School "Algebra, topology analysis", 1 - August 14, 2016, Odessa, Ukraine

            - National Conference "Modern problems of probability theory and mathematical analysis" Vorokhta, Ukraine, February 25 - March 1, 2015.

            - Hypercomplex Seminar 2015: (Hyper)Complex and Dynamical Processes; Modelling and Simulations, 2-9 July 2015, Bedlevo, Poland.

            - X Summer School "Algebra, topology analysis", 3 - August 15, 2015, Odessa, Ukraine.

            - MADEA – 7 Azerbaijan – Turkey – Ukrainian International conference "Mathematical Analysis, Differential Equations and their Applications". Abstracts, September 08 – 13 , 2015, Baku, Azerbaijan.

            - Third Conference "Mathematics for Life Sciences", Rivne, September 15-19, 2015.

            - International Conference "Approximation Theory and its applications", on the occasion of the 75th anniversary of Professor Vitaly Pavlovich Motornyi, 8-11 October 2015, Dnepropetrovsk, Ukraine.


            — International Mathematical Conference "Boundary-value problems, theory of functions and their applications" dedicated to the 60th anniversary of V.I.Rukasov 21 - 24 May 2014, Slovyansk Ukraine.

            - IV International Hahn conference dedicated to 135 anniversary of the birth of Hans Hahn, June 30-July 5, 2014.

            - XVIIth Conference on Analytic Functions and Related Topics June 29 – July 02, 2014. – Chelm, Poland.

            - IX Summer School "Algebra, topology and analysis", 7-18 July 2014, Polianytsia, Ukraine.

            — International Mathematical Conference to commemorate the 75th anniversary of the birth of Academician AM Samoilenko, 12 - 14 June 2013, Slovyansk Ukraine.

            — International Mathematical Conference " Boholyubov reading DIF- 2013, Differential Equations , Theory of functions and applications ' dedicated to the 75th anniversary of the birth of Academician AM Samoilenko , 23-30 June 2013 , Sevastopol, Ukraine

            — Crimean International Mathematical Conference KMMK-2013, Ukraine, Crimea, Sudak, September 22 - October 4, 2013

            — International Scientific Conference "Modern Problems of Mathematics, Mechanics," devoted to the 90th anniversary of L.A.Tolokonnikova. Russia, Tula, 16 - 20 October 2013

            — International Conference "Theory of Approximation of Functions and its Applications" dedicated to the 70th Anniversary of Corresponding Member of National Academy of Sciences of Ukraine, Professor A.I. Stepanets (1942-2007) May 28 - June 3, 2012, Kamenets-Podolsky, Ukraine.

            — International Conference in Modern Analysis. June 20-23, 2011, Donetsk, Ukraine.

            — International Conference Harmonic analysis and approximations, V, Dedicated to 75th anniversary of academician Norair Arakelian 10 - 17 September, 2011, Tsaghkadzor, Armenia.

            — International Conference "Approximation Theory". St. Petersburg, IMI name of L.Euler, 6-8 May 2010.

            — International Conference ”Approximation Theory and Applications” in memory of N.P.Korneichuk, June 14-17, 2010, Dnepropetrovsk, Ukraine.

            — International Conference "Approximation Theory" dedicated to the 90 th anniversary of S.B.Styechkin, Moscow, Russia, 23-26 August 2010.

            — Bulgarian-Turkish-Ukrainian Scientific Conference ”Mathemat³cal Analysis, Differential Equations and their Applications”, 15-20 September, 2010, Sunny Beach, Bulgaria.

            - International conference "Modern problems of analysis, the 70 th anniversary of the department of mathematical analysis Chernivtsi University, 2010.

            — International conference "Modern problems of mathematics, mechanics and their application" on the 70 th anniversary of MSU Rector Academician V.A.Sadovnichy, 30 March -02 April 2009, Moscow, Russia.

            — Conference "Functional Methods in Approximation Theory and Operator Theory III is devoted to memory of V.K. Dzyadyk (1919-1998), Svityaz, Ukraine, 2009.

            — Ukrainian Congress of Mathematics - 2009 (to 100 anniversary of the birth of Nikolai Bogolyubov), Kyiv, August 27-29, 2009.

            — International scientific conference "Modern problems of mathematics, mechanics, computer science, Russia, Tula, 23-27 November 2009.

            — International conference "Differential Equations, Theory of functions and their applications", with the 70 th anniversary of akadem.A.M.Samoylenka, 16-21 June 2008. Melitopol, Ukraine.

            — International conference "Mathmaticfl Analysis Differential Equations and their Applications", Famagusta, North Cyprus, September 12-15, 2008.

            — International scientific conference "Modern problems of mathematics, mechanics, computer science, dedicated to 85-year anniversary of Professor L.A.Tolokonnikova, Tula, Russia, 17-21 November 2008.

            — Lyapunov memorial Conference on the occasion of the 150th birthday of Aleksandr Mikhailovich Lyapunov, Kharkiv, 2007.

            — International scientific conference "Modern problems of mathematics, mechanics, computer science, Russia, Tula, 19-23 November 2007

            — International Conference "Mathematical Analysis and Differential Equations and Their Applications, Uzhgorod, Ukraine, Kyiv: Institute of Mathematics, 18-23 September 2006.

            — International conference "Functional space, Theory of approximations, Nonlinear analysis, devoted to 100 anniversary of Academician S.M.Nikol'skii, Moscow, 23-29 May 2005.

            — International Conference on the 125 anniversary of the birth of Hans Hahn, Chernivtsi, 27 June-3 July 2004.

            — International conference in memory of V. Ya Bunyakovsky, Kyiv, 16-21 August 2004.

            — Conference "Functional Methods in Approximation theory, operator theory, stochastic analysis and statistics II, dedicated to the memory A.Y.Dorogovtsev, Kyiv, October 1-5, 2004.

            — International conference "Kolmogorov and contemporary mathematics", devoted to 100 anniversary of the birth of Andrei N. Kolmogorov, Moscow, 16-21 June 2003.

            — International scientific conference "The Sixth Bogolyubov Readings", Chernivtsi, 26-30 August 2003.

            — Third International conference on analytic number theory and spatial mosaics dedicated to the memory of G. Voronoi, Kyiv, 22-28 September 2003.

            — Ukrainian Congress of Mathematics - 2001, 10 section, "Approximation theory and harmonic analysis", Kyiv, August 21-23, 2001.

            — International scientific conference devoted to 100 anniversary of the birth of M.A. Lavrent'ev, Kyiv, 31 October-3 November 2000.

            — International conference on approximation theory of functions and its applications, dedicated to the memory of V.K. Dzyadyk, Kyiv, 26-31 May 1999.

            — II School Fourier series: theory and applications ", Kamenets-Podolsky, 30 June-5 July 1997.

            — Fifth International Scientific Conference. Academician M. Kravchuk, Kyiv, May 1996.

            — International conference "Theory of approximations and numerical methods, on the 100-year anniversary of E.Remez, Rivne, 19-21 June 1996.

            Miscellaneous




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              AMS grant for graduate studies (1994-1995)

              Scholarship DKNTP Ukraine for young scientists (1996 - 1997 years).

              Scholarship of the President of Ukraine for young scientists (1998-2000,2000-2002).

              Grants SFFR and DKNTP: 11.3/17Â; SFFR: 1.4/8Â; Ô25.1/043.

              In 2003 by Decree of President of Ukraine on the basis of presentation of Committee of State Prizes of Ukraine in the field of Science and Technology A.S.SERDYUK was awarded by President of Ukraine Prize for young scientists for a series of papers "Extremal problems of approximation theory of real and complex variable".

              He was awarded the Diploma of the Presidium of the National Academy of Sciences of Ukraine and the Central Committee of the Trade Union of Workers of the National Academy of Sciences of Ukraine (2009)

              By Decree of the President of Ukraine dated September 30, 2011 No. 961 A.S.SERDYUK received a grant from the President of Ukraine to carry out scientific research "Structural and approximate properties of functional sets"

              Decorated thanksgiving Presidium of the National Academy of Sciences of Ukraine (2013)

              Gold badge of the Lesya Ukrainka Eastern European National University(2014)

              Grant H2020-MSCA-RISE-2014 project number 645672 (AMMODIT: Approximation Methods for Molecular Modelling and Diagnosis Tools)

              Anniversary Diploma of the Presidium of the National Academy of Sciences of Ukraine (2018)

              Award of the National Academy of Sciences of Ukraine "For the preparation of scientific change" (2023)
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