Approximation by fourier operators of functions defined on the real line

DOI10.1007/BF01056472zbMath0652.41006OpenAlexW1977517956MaRDI QIDQ3797653

A. I. Stepanets

Publication date: 1988

Published in: Ukrainian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01056472

zbMATH Keywords

Fourier operators

Mathematics Subject Classification ID

Trigonometric approximation (42A10) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38) Approximation by operators (in particular, by integral operators) (41A35) Approximation by other special function classes (41A30)

Related Items (7)

Classes of functions defined on the real line and their approximation by entire functions. I ⋮ Multiple Fourier sums on sets of \((\psi{},\beta{})\)-differentiable functions ⋮ Approximation by entire functions in the mean on the real line ⋮ Some remarks on the approximation of functions of high smoothness by Fourier operators ⋮ Approximation of functions defined on the real axis by means of de la Vallée-Poussin operators ⋮ Classes of functions defined on the real axis and their approximations by entire functions. II ⋮ Strong mean deviations of Fourier operators

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