Corpus ID: 117859690

On the Best Approximation of Certain Classes of Periodic Functions by Trigonometric Polynomials (pp. 129-144)

@article{Serdyuk2010OnTB,
  title={On the Best Approximation of Certain Classes of Periodic Functions by Trigonometric Polynomials (pp. 129-144)},
  author={A. Serdyuk and Ie.Yu. Ovsii},
  journal={Azerbaijan Journal of Mathematics},
  year={2010},
  volume={1}
}
  • A. Serdyuk, Ie.Yu. Ovsii
  • Published 2010
  • Mathematics
  • Azerbaijan Journal of Mathematics
  • We obtain the estimates for the best approximation in the uniform metric of the classes of 2π-periodic functions whose (Ψ,β)-derivatives have a given majorant ω of the modulus of continuity. It is shown that the estimates obtained here are asymptotically exact under some natural conditions on the parameters Ψ,ω and β defining the classes. 
    2 Citations

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