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

We find asymptotic formulas for the least upper bounds of the deviations of Fourier operators on classes of functions locally summable on the entire real axis and defined by $\bar {\Psi}$-integrals. On these classes, we also obtain asymptotic equalities for the upper bounds of functionals that chara...

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Bibliographic Details
Date:2004
Main Authors: Sokolenko, I. V., Stepanets, O. I., Соколенко, І. В., Степанець, О. І.
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/3812
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal