Approximation of the classes $C_{β}^{ψ} H_{ω}$ by generalized Zygmund sums
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.
English version (Springer): Ukrainian Mathematical Journal 61 (2009), no. 4, pp 627-644.
Citation Example: Ovsii E. Yu., Serdyuk A. S. Approximation of the classes $C_{β}^{ψ} H_{ω}$ by generalized Zygmund sums // Ukr. Mat. Zh. - 2009. - 61, № 4. - pp. 524-537.
Full text
