2018
Том 70
№ 2

# Approximation of (ψ, β)-differentiable functions by Poisson integrals in the uniform metric

Abstract

We obtain asymptotic equalities for upper bounds of approximations of functions from the class $C_{β,∞} ψ$ by Poisson integrals in the metric of the space $C$.

English version (Springer): Ukrainian Mathematical Journal 61 (2009), no. 11, pp 1757-1779.

Citation Example: Kharkevych Yu. I., Zhyhallo T. V. Approximation of (ψ, β)-differentiable functions by Poisson integrals in the uniform metric // Ukr. Mat. Zh. - 2009. - 61, № 11. - pp. 1497-1515.

Full text