Approximation of the classes CβψHω by generalized Zygmund sums

@article{Serdyuk2009ApproximationOT,
  title={Approximation of the classes CβψHω by generalized Zygmund sums},
  author={A. Serdyuk and E. Y. Ovsii},
  journal={Ukrainian Mathematical Journal},
  year={2009},
  volume={61},
  pages={627-644}
}
We obtain asymptotic equalities for the least upper bounds of approximations by Zygmund sums in the uniform metric on the classes of continuous 2π-periodic functions whose (ψ, β)-derivatives belong to the set Hω in the case where the sequences ψ that generate the classes tend to zero not faster than a power function. 
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