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

• 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
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

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...