Approximation by de la Vallée-Poussin operators on the classes of functions locally summable on the real axis

For the least upper bounds of deviations of the de la Vallée-Poussin operators on the classes $\widehat{L}^{\psi}_{\beta}$ of rapidly vanishing functions $ψ$ in the metric of the spaces $\widehat{L}_p,\; 1 ≤ p ≤ ∞$, we establish upper estimates that are exact on some subsets of functions from $\wide...

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Bibliographic Details
Date:2010
Main Authors: Rukasov, V. I., Chaichenko, S. O., Рукасов, В. І., Чайченко, С. О.
Format: Article
Language:Ukrainian
English
Published: Institute of Mathematics, NAS of Ukraine 2010
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/2929
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal