2019
Том 71
№ 1

# Approximation of $\bar {\omega}$ -integrals of continuous functions defined on the real axis by Fourier operators

Sokolenko I. V.

Abstract

We obtain asymptotic formulas for the deviations of Fourier operators on the classes of continuous functions $C^{ψ}_{∞}$ and $\hat{C}^{\bar{\psi} } H_{\omega}$ in the uniform metric. We also establish asymptotic laws of decrease of functionals characterizing the problem of the simultaneous approximation of $\bar{\psi}$-integrals of continuous functions by Fourier operators in the uniform metric.

English version (Springer): Ukrainian Mathematical Journal 56 (2004), no. 5, pp 799–816.

Citation Example: Sokolenko I. V. Approximation of $\bar {\omega}$ -integrals of continuous functions defined on the real axis by Fourier operators // Ukr. Mat. Zh. - 2004. - 56, № 5. - pp. 663-676.

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