On Lebesgue inequality of the Vallée-Poussin sums on classes ${C}^{\overline{\psi}}C$

• Date: 2015
• Main Authors: Veremiy, M. A., Zaderey, P. V., Веремій, М. А., Задерей, П. В.
• Format: Article
• Language: Ukrainian
• Published: Інститут математики НАН України 2015
• Online Access: https://trim.imath.kiev.ua/index.php/trim/article/view/284
• Journal Title: Transactions of Institute of Mathematics of NAS of Ukraine

We consider the exact top limits of deviations Valle Poussin sums on classes of $ \overline {\psi} $-differentiable functions where the sequence $ \overline {\psi} = \left ({\psi}_1, {\psi}_2 \right) $ is a quasiconvex. These estimates are expressed in terms of best approximation $ \overline {\psi}...