2019
Том 71
№ 2

# Approximation of ( ψ, β )-differentiable functions defined on the real axis by Weierstrass operators

Kalchuk I. V.

Abstract

Asymptotic equalities are obtained for upper bounds of approximations by the Weierstrass operators on the functional classes $\widehat{C}^{\psi}_{\beta, \infty}$ and $\widehat{L}^{\psi}_{\beta, 1}$ in metrics of the spaces $\widehat{C}$ and $\widehat{L}_1$, respectively.

English version (Springer): Ukrainian Mathematical Journal 59 (2007), no. 9, pp 1342-1363.

Citation Example: Kalchuk I. V. Approximation of ( ψ, β )-differentiable functions defined on the real axis by Weierstrass operators // Ukr. Mat. Zh. - 2007. - 59, № 9. - pp. 1201–1220.

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