Author pages are created from data sourced from our academic publisher partnerships and public sources.

Publications Influence

Approximation of Classes of Analytic Functions by de la Vallée-Poussin Sums

- V. I. Rukasov
- Mathematics
- 1 June 2003

For upper bounds of the deviations of de la Vallée-Poussin sums taken over classes of functions that admit analytic extensions to a fixed strip of the complex plane, we obtain asymptotic equalities.… Expand

13 1

Best n-Term Approximations in Spaces with Nonsymmetric Metric

- V. I. Rukasov
- Mathematics
- 1 April 2003

AbstractWe determine exact values of n-term approximations of q-ellipsoids in the spaces
$$S_\phi^{p, \mu}$$
.

6

Spaces Sp with Nonsymmetric Metric

- A. I. Stepanets, V. I. Rukasov
- Mathematics
- 1 February 2003

AbstractWe determine exact values of the best approximations and Kolmogorov widths of q-ellipsoids in spaces
$$S_\phi ^{p,{\mu}}$$
defined by anisotropic metric.

8

Integral Presentations of Deviations of de la Vallee Poussin Right-Angled Sums

- V. I. Rukasov, O. Rovenska
- Mathematics
- 2009

We investigate approximation properties of de la Vallee Poussin rightangled sums on the classes of periodic functions of several variables with a high smoothness. We obtain integral presentations of… Expand

1- PDF

Estimates of errors in interpolating trigonometric polynomials with equidistant nodes on classes of continuous periodic functions of several variables

- V. I. Rukasov
- Mathematics
- 1983

Approximation of Classes of
$${\bar \psi }$$
-Integrals of Periodic Functions of Many Variables by Rectangular Linear Means of Their Fourier Series

- V. I. Rukasov, O. A. Novikov, V. I. Bodraya
- Mathematics
- 1 April 2005

AbstractWe obtain asymptotic equalities for deviations of rectangular linear means of Fourier series on classes of
$${\bar \psi }$$
-integrals of functions of many variables.

2

Approximation of Continuous Functions by de la Vallée-Poussin Operators

- V. I. Rukasov
- 2003

For the upper bounds of the deviations of a function defined on the entire real line from the corresponding values of the de la Vallée-Poussin operators, we find asymptotic equalities that give a… Expand

Approximation by triangular fourier sums on classes of continuous periodic functions of two variables

- A. I. Stepanets, V. I. Rukasov
- Mathematics
- 1 March 1983

1

Best “Continuous” n-Term Approximations in the Spaces
$$S_\phi ^p $$

- A. I. Stepanets, V. I. Rukasov
- Mathematics
- 1 May 2003

AbstractWe find exact values of upper bounds for the best approximations of q-ellipsoids by polynomials of degree n in the spaces
$$S_\phi ^p $$
in the case where the approximating polynomials are… Expand

5

Approximation by families of linear trigonometric polynomial operators and smoothness properties of functions

- V. I. Rukasov, K. Runovski, H. Schmeißer
- Mathematics
- 1 August 2011

The error of approximation by families of linear trigonometric polynomial operators in the scale of Lp-spaces of periodic functions with 0 < p ⩽ +∞ is characterized with the help of realization… Expand

13