2017
Том 69
№ 9

All Issues

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

Ovsii E. Yu., Serdyuk A. S.

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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.

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