Corpus ID: 118873242

Approximation of continuous periodic functions by de la Vallee Poussin sums

@article{Ovsii2012ApproximationOC,
  title={Approximation of continuous periodic functions by de la Vallee Poussin sums},
  author={Ie.Yu. Ovsii and A. Serdyuk},
  journal={arXiv: Classical Analysis and ODEs},
  year={2012}
}

Ie.Yu. Ovsii, A. Serdyuk

Published 2012

Mathematics

arXiv: Classical Analysis and ODEs

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We obtain an estimate of the deviation of de la Vallee Poussin sums V_{n,n/2}(f;x) from continuous functions f, expressed in terms of values of theirs modulus of continuity. It is established that this estimate can't be improved by using the well-known analogue of the Lebesgue inequality for de la Vallee Poussin sums