LIST OF PAPERS
-
Stepanets, A. I., Romanyuk, V. S.
Classes of
 -differentiable functions of a complex variable
and their approximation by linear means of Faber series. (Russian) -
Kyiv.: Institute of Mathematics of NASU, 1992. - P.1-28. (Preprint/ NAS of Ukraine.
Institute of Mathematics; 1992.15).
-
Romanyuk, V. S.
Best approximations and widths of classes of -differentiable
functions of a complex variable. (Russian) -
Kyiv.: Institute of Mathematics of NASU, 1992. - P.29–52. (Preprint/ NAS of Ukraine.
Institute of Mathematics; 1992.15).
-
Stepanets, A. I., Romanyuk, V. S.
Classes of -differentiable
functions of a complex variable and approximation by linear means of their Faber series. (Russian) -
Ukr.Mat.Zh. - 1992. -
44, ¹11. - P.1432–1446; translation in Ukrainian Math. J. 44 (1992), no. 11, 1432–1446 (1993).
-
Romanyuk, V. S.
On the best approximation and Kolmogorov widths of classes of analytic functions. (Russian) -
Kyiv.: Institute of Mathematics of NASU, 1992. - 39 pp. (Preprint/ NAS of Ukraine.
Institute of Mathematics; 1992.20).
-
Romanyuk V.S.
Kolmogorov widths of classes of functions that are analytic in bounded domains of the complex plane. (Russian) -
Fourier series: theory and applications:
Collection of papers of the Institute of Mathematics of NASU. - 1992. - P.119–126.
-
Romanyuk, V. S.
Approximation of classes of analytic functions by algebraic polynomials and Kolmogorov widths. (Russian) -
Ukr.Mat.Zh. - 1996. -
48, ¹2. - P.236-250; translation in Ukrainian Math. J. 48 (1996), no. 2, 267–282.
-
Romanyuk, V. S.
Approximation in the mean with weight of classes of analytic
functions by algebraic polynomials and finite-dimensional subspaces. (Russian) -
Ukr.Mat.Zh. - 1999. -
51, ¹5. - P.645-662; translation in Ukrainian Math. J. 51 (1999), no. 5, 716–734.
-
Romanyuk, V. S.
Estimates for the Kolmogorov widths of classes of analytic functions representable by Cauchy-type integrals. I. (Russian) -
Ukr.Mat.Zh. - 2001. -
53, ¹2. - P.229-237; translation in Ukrainian Math. J. 53 (2001), no. 2, 259–269.
-
Romanyuk, V. S.
Estimates for the Kolmogorov widths of classes of analytic functions representable by Cauchy-type integrals. II. (Russian) -
Ukr.Mat.Zh. - 2001. -
53, ¹3. - P.346-355; translation in Ukrainian Math. J. 53 (2001), no. 3, 395–406.
-
Romanyuk V.S.
A supplement to estimates for the approximation of classes of infinitely differentiable functions by Fourier sums. (Russian) -
Extremal problems in the theory of functions and related problems:
Collection of papers of the Institute of Mathematics of NASU. - 2003. - P.131–135.
-
Romanyuk V.S.
Approximation of multiple Poisson integrals. (Russian) -
Approximation theory of functions
and related questions:
Collection of papers of the Institute of Mathematics of NASU. - 2007. - 4, ¹1. – P.258–268.
-
Romanyuk V.S.
On asymptotic estimates of Kolmogorov widths of classes
of multiple Poisson integrals. (Russian) -
Approximation theory of functions
and related questions:
Collection of papers of the Institute of Mathematics of NASU. - 2008. - 5, ¹1. – P.279–285.
-
Romanyuk V.S.
Nonlinear Diameters of Classes of Smooth Functions Defined on the Unit Sphere in
 . (Russian) -
Mat. Zametki - 2009. -
85, ¹1. - P.147–152; translation in Math. Notes 85 (2009), no. 1-2, 136–141.
-
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.1348-1366.
-
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.536-551.
-
Romanyuk V.S.
Nonlinear approximation of functions of several variables from Besov classes. (Russian) -
Approximation theory of functions
and related questions:
Collection of papers of the Institute of Mathematics of NASU. - 2010. - 7, ¹1. –
P.199–226.
|
Russian version
Ukrainian version
