2017
Том 69
№ 6

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

Kalchuk I. V.

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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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