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

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 approxima...

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Bibliographic Details
Date:	2004
Main Authors:	Sokolenko, I. V., Соколенко, І. В.
Format:	Article
Language:	Ukrainian English
Published:	Institute of Mathematics, NAS of Ukraine 2004
Online Access:	https://umj.imath.kiev.ua/index.php/umj/article/view/3786
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Journal Title:	Ukrains’kyi Matematychnyi Zhurnal
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