Lebesgue-type inequalities for the de la Vallée-poussin sums on sets of entire functions

• Date: 2013
• Main Authors: Musienko, A. P., Serdyuk, A. S., Мусієнко, А. П., Сердюк, А. С.
• Format: Article
• Language: Ukrainian; English
• Published: Institute of Mathematics, NAS of Ukraine 2013
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/2448
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

For functions from the sets C ψ β L s , 1 ≤ s ≤ ∞, where ψ(k) > 0 and \( {\lim_{{k\to \infty }}}\frac{{\psi \left( {k+1} \right)}}{{\psi (k)}} \) , we obtain asymptotically sharp estimates for the norms of deviations of the de la Vallée-Poussin sums in the uniform metric represented in ter...