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

• 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
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

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...