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- 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
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
$$S_\phi^{p, \mu}$$
.
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.
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
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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.
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
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
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