• Publications
  • Influence
Approximation of Classes of Analytic Functions by de la Vallée-Poussin Sums
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
AbstractWe determine exact values of n-term approximations of q-ellipsoids in the spaces $$S_\phi^{p, \mu}$$ .
  • 6
Spaces Sp with Nonsymmetric Metric
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
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 ofExpand
  • 1
  • PDF
Approximation of Classes of $${\bar \psi }$$ -Integrals of Periodic Functions of Many Variables by Rectangular Linear Means of Their Fourier Series
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
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 aExpand
Best “Continuous” n-Term Approximations in the Spaces $$S_\phi ^p $$
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 areExpand
  • 5
Approximation by families of linear trigonometric polynomial operators and smoothness properties of functions
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 realizationExpand
  • 13