2017
Том 69
№ 6

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

Sokolenko I. V.

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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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