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

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

Romanyuk A.S.
Approximation of Classes of Periodic Functions in Several Variables. 
Mat. Zametki.  2002. 
71, ¹3.  P.109–121;
translation in Math. Notes 71 (2002), no. 12, 98–109.

Romanyuk A.S.
Best Mterm trigonometric approximations of Besov classes of
periodic functions of several variables. (Russian) 
Izv. RAN. Ser. Mat.  2003. 
67, ¹2.  P.61–100; translation in Izv. Math. 67
(2003), no. 2, 265–302 .

Romanyuk A.S.
Approximation of the classes
of periodic functions of several variables by linear methods, and best approximations. (Russian) 
Mat. Sb.  2004. 
195, ¹2.  P.91–116; translation in Sb. Math. 195 (2004), no. 12, 237–261.

Romanyuk A.S.
Kolmogorov and trigonometric widths of the Besov classes
of multivariate periodic functions. 
Mat. Sb.  2006. 
197, ¹1.  P.71—96; translation in Sb. Math. 197 (2006), no. 12, 69–93.

Romanyuk A.S.
Bilinear and trigonometric approximations of periodic functions of several variables of Besov classes
. Izv.RAN.Ser.Mat.  2006. 
70, ¹2.  P.69—98; translation in Izv. Math. 70 (2006), no. 2, 277–306.

Romanyuk A.S.
Best Trigonometric Approximations for Some Classes of Periodic Functions of Several Variables in the Uniform Metric. 
Mat. Zametki.  2007. 
82, ¹2.  P.247—261; translation in Math. Notes 82 (2007), no. 12, 216–228.

Romanyuk A.S.
Best approximations and widths of classes of periodic functions of several variables. 
Mat. Sb.  2008. 
199, ¹2.  P.93—114; translation in Sb. Math. 199 (2008), no. 12, 253–275.

Romanyuk A.S.
Approximation of anisotropic classes
of periodic functions of
several variables in space L_{q}. (Russian) Approximation theory of functions
and related questions. 
Collection of papers of the Institute of Mathematics of NASU.  2008. 
5, ¹1.  P.263—278.

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, ¹1.  P.222—236.

Romanyuk A.S., Romanyuk V.S.
Trigonometric and orthoprojective widths of classes
of periodic functions of several variables. (Russian) 
Ukr.Mat.Zh.  2009. 
61, ¹10.  P.13481366.

Romanyuk A.S.
Approximation of Classes
of Periodic Functions of One and Several Variables. (Russian) 
Mat. Zametki.  2010. 
87, ¹3.  P.429—442.

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, ¹4.  P.536551.

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The Department of the Theory of
Functions
