Approximation of the classes $C_{β}^{ψ} H_{ω}$ by generalized Zygmund sums

  • E. Yu. Ovsii
  • A. S. Serdyuk

Abstract

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 $H_{ω}$ in the case where the sequences ψ that generate the classes tend to zero not faster than a power function.
Published
25.04.2009
How to Cite
OvsiiE. Y., and SerdyukA. S. “Approximation of the Classes $C_{β}^{ψ} H_{ω}$ by Generalized Zygmund Sums”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 61, no. 4, Apr. 2009, pp. 524-37, https://umj.imath.kiev.ua/index.php/umj/article/view/3037.
Section
Research articles