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

@article{Rukasov2003ApproximationOC,
  title={Approximation of Classes of Analytic Functions by de la Vall{\'e}e-Poussin Sums},
  author={V. I. Rukasov},
  journal={Ukrainian Mathematical Journal},
  year={2003},
  volume={55},
  pages={974-986}
}
  • V. I. Rukasov
  • Published 2003
  • Mathematics
  • Ukrainian Mathematical Journal
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. In certain cases, these equalities give a solution of the corresponding Kolmogorov–Nikol'skii problem. 
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