Department of Theory of Functions

Doctor of Sciences (Physics & Mathematics)
Head of the Department of Theory of Functions
ROMANYUK Anatoliy Sergiyovich

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CURRICULUM VITAE

Name: ROMANYUK Anatoliy Sergiyovich.
Date of birth: November 22, 1955.
Gratuated Mechanical and Mathematical Department of Lviv National University named after Ivan Franko in 1978.
Defended Kandidate dissertation in 1988.
Defended Doctor dissertation in 1996.


LIST OF PAPERS

  1. Romanyuk A.S. Approximation of Classes of Periodic Functions in Several Variables. - Mat. Zametki. - 2002. - 71, 3. - P.109121; translation in Math. Notes 71 (2002), no. 1-2, 98109.
  2. Romanyuk A.S. Best M-term trigonometric approximations of Besov classes of periodic functions of several variables. (Russian) - Izv. RAN. Ser. Mat. - 2003. - 67, 2. - P.61100; translation in Izv. Math. 67 (2003), no. 2, 265302 .
  3. Romanyuk A.S. Approximation of the classes of periodic functions of several variables by linear methods, and best approximations. (Russian) - Mat. Sb. - 2004. - 195, 2. - P.91116; translation in Sb. Math. 195 (2004), no. 1-2, 237261.
  4. Romanyuk A.S. Kolmogorov and trigonometric widths of the Besov classes of multivariate periodic functions. - Mat. Sb. - 2006. - 197, 1. - P.7196; translation in Sb. Math. 197 (2006), no. 1-2, 6993.
  5. Romanyuk A.S. Bilinear and trigonometric approximations of periodic functions of several variables of Besov classes . -Izv.RAN.Ser.Mat. - 2006. - 70, 2. - P.6998; translation in Izv. Math. 70 (2006), no. 2, 277306.
  6. Romanyuk A.S. Best Trigonometric Approximations for Some Classes of Periodic Functions of Several Variables in the Uniform Metric. - Mat. Zametki. - 2007. - 82, 2. - P.247261; translation in Math. Notes 82 (2007), no. 1-2, 216228.
  7. Romanyuk A.S. Best approximations and widths of classes of periodic functions of several variables. - Mat. Sb. - 2008. - 199, 2. - P.93114; translation in Sb. Math. 199 (2008), no. 1-2, 253275.
  8. Romanyuk A.S. Approximation of anisotropic classes of periodic functions of several variables in space Lq. (Russian) -Approximation theory of functions and related questions. - Collection of papers of the Institute of Mathematics of NASU. - 2008. - 5, 1. - P.263278.
  9. Romanyuk A.S. Bilinear approximations and Kolmogorov widths of periodic Besov classes. (Russian) - Theory of operators, differenial equations and theory of functions. - Collection of papers of the Institute of Mathematics of NASU. - 2009. - 6, 1. - P.222236.
  10. Romanyuk A.S., Romanyuk V.S. Trigonometric and orthoprojective widths of classes of periodic functions of several variables. (Russian) - Ukr.Mat.Zh. - 2009. - 61, 10. - P.1348-1366.
  11. Romanyuk A.S. Approximation of Classes of Periodic Functions of One and Several Variables. (Russian) - Mat. Zametki. - 2010. - 87, 3. - P.429442.
  12. Romanyuk A.S., Romanyuk V.S. Asymptotic estimates of best trigonometric and bilinear approximations of classes of functions of several variables. (Russian) - Ukr.Mat.Zh. - 2010. - 62, 4. - P.536-551.

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