Uniform Approximation of Periodical Functions by Trigonometric Sums of Special Type

@article{Serdyuk2012UniformAO,
  title={Uniform Approximation of Periodical Functions by Trigonometric Sums of Special Type},
  author={A. Serdyuk and Ie.Yu. Ovsii},
  journal={International Scholarly Research Notices},
  year={2012},
  volume={2014},
  pages={1-11}
}
  • A. Serdyuk, Ie.Yu. Ovsii
  • Published 2012
  • Mathematics
  • International Scholarly Research Notices
  • The approximation characteristics of trigonometric sums of special type on the class of ()-differentiable (in the sense of A. I. Stepanets) periodical functions are studied. Because of agreement between parameters of approximative sums and approximated classes, the solution of Kolmogorov-Nikol’skii problem is obtained in a sufficiently general case. It is shown that in a number of important cases these sums provide higher order of approximation in comparison with Fourier sums, de la Vallee… CONTINUE READING
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