Romanyuk Anatolii
Education
Lviv I.Franko National University (1978)
1985-1988: PhD student at the Institute of Mathematics of NAS of Ukraine, Kyiv, Department of Theory of Functions
1985-1988: PhD student at the Institute of Mathematics of NAS of Ukraine, Kyiv, Department of Theory of Functions
Dissertations
Doctoral thesis: Investigation on extremal problem of approximation theory for classes of periodical functions of several variables (1996).
Ph.D. thesis: Best approximation and widths of classes of periodic functions of several variables (1988), (Supervisor Stepanets A.I.)
Ph.D. thesis: Best approximation and widths of classes of periodic functions of several variables (1988), (Supervisor Stepanets A.I.)
Research interests
- Functional spaces
- Approximations of classes of periodic functions of several variable
- Widths of functional classes
- Approximations of classes of periodic functions of several variable
- Widths of functional classes
Experience
24.04.2008 till now, Head Department of Theory of Functions, Institute of Mathematics of NAS of Ukraine, Kyiv
01.12.1996-24.04.2008, Leading research fellow, Institute of Mathematics of NAS of Ukraine, Kyiv, Department of Theory of Functions
01.12.1993-01.12.1996, Senior research fellow, Institute of Mathematics of NAS of Ukraine, Kyiv, Department of Theory of Functions
01.06.1992-01.12.1993, Research fellow, Institute of Mathematics of NAS of Ukraine, Kyiv, Department of Theory of Functions
16.11.1988-01.06.1992, Junior research fellow, Institute of Mathematics of NAS of Ukraine, Kyiv, Department of Theory of Functions
01.12.1996-24.04.2008, Leading research fellow, Institute of Mathematics of NAS of Ukraine, Kyiv, Department of Theory of Functions
01.12.1993-01.12.1996, Senior research fellow, Institute of Mathematics of NAS of Ukraine, Kyiv, Department of Theory of Functions
01.06.1992-01.12.1993, Research fellow, Institute of Mathematics of NAS of Ukraine, Kyiv, Department of Theory of Functions
16.11.1988-01.06.1992, Junior research fellow, Institute of Mathematics of NAS of Ukraine, Kyiv, Department of Theory of Functions
Talks on conferences
— Estimates of approximating characteristics for the classes of periodic functions in the space $B_{1,1}$. International Workshop "Current Trends in Analysis and Approximation Theory", July 18, 2023, the International Telematic University UNINETTUNO, Roma, Italy: Book of Proceedings. 2023, P.30-31. (with S.Ya.Yanchenko)
https://sites.google.com/uninettunouniversity.net/ctaat/home
— Best orthogonal trigonometric approximations for classes of periodic functions with a dominating mixed smoothness. International Conference «Theory of Approximation of Functions and its Applications», dedicated to the 80th anniversary of Corresponding Member of the National Academy of Sciences of Ukraine, Professor Alexander STEPANETS (1942-2007). Institute of Mathematics of the NAS of Ukraine; Lesya Ukrainka Volyn National University. Lutsk, Ukraine, June 6–10, 2022. (with A.S.Romanyuk)
https://sites.google.com/view/tafa-2022en
— Entropy numbers of the Nikol’skii–Besov classes in the space of quasi-continuous functions // International Conference Mathematical Analysis, Differential Equation & Applications (MADEA-9), Kyrgyz-Turkish Manas University, Bishkek, Kyrgyz Republic, June 21-25. Abstracts – Bishkek: KTMU. 2021. – P. 65-66. (with S.Ya.Yanchenko)(Online)
http://madea2021.manas.edu.kg/en
— Estimates for the entropy numbers of the Nikol'skii-Besov classes in the space of quasi-continuous functions // International Online Workshop on Approximation Theory, March 19-21, 2021, Ivano-Frankivsk, Ukraine: ABSTRACTS. – P. 29-30. (with S.Ya.Yanchenko) (Online)
https://conference.pnu.edu.ua/iowat/en/home/
— International Conference on "Mathematical Analysis, Differential Equations and their Applications" held on 15 - 20 September, 2010, Sunny Beach, Bulgaria.
- International Conference "Approximation Theory" dedicated to the 90-th anniversary of S.B.Styechkin, Moscow, Russia, 23-26 August 2010.
- International Conference "Approximation Theory and Applications" in memory of N.P.Korneichuk, June 14-17, 2010, Dnepropetrovsk, Ukraine.
- Conference "Functional Methods in Approximation Theory and Operator Theory III" is devoted to memory of V.K. Dzyadyk (1919-1998), Svityaz, Ukraine, 2009.
- International conference "Modern problems of mathematics, mechanics and their application" on the 70-th anniversary of MSU Rector Academician V.A.Sadovnichy, 30 March - 2 April 2009, Moscow, Russia.
- International conference "Mathmaticfl Analysis Differential Equations and their Applications", Famagusta, North Cyprus, September 12-15, 2008.
- 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 "Mathematical Analysis and Differential Equations and Their Applications, Uzhgorod, Ukraine, Kyiv: Institute of Mathematics, 18-23 September 2006.
- International conference "Modern problems of mathematics, mechanics, information" dedicated to the 85-th anniversary of Professor S.B.Styechkin and 75-th TulSU, Russia, Tula, November 22-26, 2005.
- International conference "Functional space, Theory of approximations, Nonlinear analysis, devoted to 100 anniversary of Academician S.M.Nikol'skii, Moscow, 23-29 May 2005.
- Conference "Functional Methods in Approximation theory, operator theory, stochastic analysis and statistics II, dedicated to the memory A.Y.Dorogovtsev (1935-2004), Kyiv, October 1-5, 2004.
- Ukrainian Congress of Mathematics - 2001. Section, "Approximation theory and harmonic analysis", Kyiv, August 21-23, 2001.
- 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.
- International conference "Theory of approximations and numerical methods, on the 100-year anniversary of E.Remez, Rivne, 19-21 June 1996.
https://sites.google.com/uninettunouniversity.net/ctaat/home
— Best orthogonal trigonometric approximations for classes of periodic functions with a dominating mixed smoothness. International Conference «Theory of Approximation of Functions and its Applications», dedicated to the 80th anniversary of Corresponding Member of the National Academy of Sciences of Ukraine, Professor Alexander STEPANETS (1942-2007). Institute of Mathematics of the NAS of Ukraine; Lesya Ukrainka Volyn National University. Lutsk, Ukraine, June 6–10, 2022. (with A.S.Romanyuk)
https://sites.google.com/view/tafa-2022en
— Entropy numbers of the Nikol’skii–Besov classes in the space of quasi-continuous functions // International Conference Mathematical Analysis, Differential Equation & Applications (MADEA-9), Kyrgyz-Turkish Manas University, Bishkek, Kyrgyz Republic, June 21-25. Abstracts – Bishkek: KTMU. 2021. – P. 65-66. (with S.Ya.Yanchenko)(Online)
http://madea2021.manas.edu.kg/en
— Estimates for the entropy numbers of the Nikol'skii-Besov classes in the space of quasi-continuous functions // International Online Workshop on Approximation Theory, March 19-21, 2021, Ivano-Frankivsk, Ukraine: ABSTRACTS. – P. 29-30. (with S.Ya.Yanchenko) (Online)
https://conference.pnu.edu.ua/iowat/en/home/
— International Conference on "Mathematical Analysis, Differential Equations and their Applications" held on 15 - 20 September, 2010, Sunny Beach, Bulgaria.
- International Conference "Approximation Theory" dedicated to the 90-th anniversary of S.B.Styechkin, Moscow, Russia, 23-26 August 2010.
- International Conference "Approximation Theory and Applications" in memory of N.P.Korneichuk, June 14-17, 2010, Dnepropetrovsk, Ukraine.
- Conference "Functional Methods in Approximation Theory and Operator Theory III" is devoted to memory of V.K. Dzyadyk (1919-1998), Svityaz, Ukraine, 2009.
- International conference "Modern problems of mathematics, mechanics and their application" on the 70-th anniversary of MSU Rector Academician V.A.Sadovnichy, 30 March - 2 April 2009, Moscow, Russia.
- International conference "Mathmaticfl Analysis Differential Equations and their Applications", Famagusta, North Cyprus, September 12-15, 2008.
- 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 "Mathematical Analysis and Differential Equations and Their Applications, Uzhgorod, Ukraine, Kyiv: Institute of Mathematics, 18-23 September 2006.
- International conference "Modern problems of mathematics, mechanics, information" dedicated to the 85-th anniversary of Professor S.B.Styechkin and 75-th TulSU, Russia, Tula, November 22-26, 2005.
- International conference "Functional space, Theory of approximations, Nonlinear analysis, devoted to 100 anniversary of Academician S.M.Nikol'skii, Moscow, 23-29 May 2005.
- Conference "Functional Methods in Approximation theory, operator theory, stochastic analysis and statistics II, dedicated to the memory A.Y.Dorogovtsev (1935-2004), Kyiv, October 1-5, 2004.
- Ukrainian Congress of Mathematics - 2001. Section, "Approximation theory and harmonic analysis", Kyiv, August 21-23, 2001.
- 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.
- International conference "Theory of approximations and numerical methods, on the 100-year anniversary of E.Remez, Rivne, 19-21 June 1996.
Miscellaneous
$\normalsize{\textbf{Important Scientific Awards:}}$
2020, Laureate of the State Prize of Ukraine in the field of science and technology
2013, Award named after M.G. Krein of the National Academy of Sciences of Ukraine
2024, Award of the National Academy of Sciences of Ukraine "For the preparation of scientific change"
2014, Award of the National Academy of Sciences of Ukraine "For Professional Achievements"
2014, Gold badge of the Lesya Ukrainka Eastern European National University
$\normalsize{\textbf{Pupils:}}$
Doctors of Science: Romanyuk V.S. (2018), Stasyuk S.A. (2019), Yanchenko S.Ya. (2024);
Ph.D., (Candidate, Phys.-Math. Sc.): Pozharska K.V. (2019), Vlasyk G.M. (2018), Shkapa V.V. (2016), Myronyuk V.V. (2015), Derev’yanko N.V. (2015), Solich K.V. (2013), Yanchenko S.Ya. (2011), Voitenko S.P.(2010), Konograi A.F. (2009), Fedunyk-Yaremchuk O.V.(2006), Stasyuk S.A. (2003), Konsevich N.M. (2001).
*****
— 2007 till now, member of the editorial board of Ukrainian Math. Zh.;
— Ç 2022 member of the specialized academic council at Institute of Mathematics of NAS of Ukraine;
— 1998-2021, academic secretary of the specialized academic council at Institute of Mathematics of NAS of Ukraine.
2020, Laureate of the State Prize of Ukraine in the field of science and technology
2013, Award named after M.G. Krein of the National Academy of Sciences of Ukraine
2024, Award of the National Academy of Sciences of Ukraine "For the preparation of scientific change"
2014, Award of the National Academy of Sciences of Ukraine "For Professional Achievements"
2014, Gold badge of the Lesya Ukrainka Eastern European National University
$\normalsize{\textbf{Pupils:}}$
Doctors of Science: Romanyuk V.S. (2018), Stasyuk S.A. (2019), Yanchenko S.Ya. (2024);
Ph.D., (Candidate, Phys.-Math. Sc.): Pozharska K.V. (2019), Vlasyk G.M. (2018), Shkapa V.V. (2016), Myronyuk V.V. (2015), Derev’yanko N.V. (2015), Solich K.V. (2013), Yanchenko S.Ya. (2011), Voitenko S.P.(2010), Konograi A.F. (2009), Fedunyk-Yaremchuk O.V.(2006), Stasyuk S.A. (2003), Konsevich N.M. (2001).
*****
— 2007 till now, member of the editorial board of Ukrainian Math. Zh.;
— Ç 2022 member of the specialized academic council at Institute of Mathematics of NAS of Ukraine;
— 1998-2021, academic secretary of the specialized academic council at Institute of Mathematics of NAS of Ukraine.