Abstract
We obtain asymptotic formulas for the deviations of Fourier operators on the classes of continuous functions \(\hat C_\infty ^{\bar \psi } \) 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.
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