Estimates of uniform approximations by Zygmund sums on classes of convolutions of periodic functions

• Date: 2013
• Main Authors: Serdyuk, A. S., Grabova, U. Z., Сердюк, А. С., Грабова, У. З.
• Format: Article
• Language: Ukrainian
• Published: Інститут математики НАН України 2013
• Online Access: https://trim.imath.kiev.ua/index.php/trim/article/view/174
• Journal Title: Transactions of Institute of Mathematics of NAS of Ukraine

We obtain order-exact estimates for uniform approximations by using Zygmund sums $Z^{s}_{n}$ of classes $C^{\psi}_{\beta,p}$ of $2\pi$-periodic continuous functions $f$ representable by convolutions of functions from unit balls of thespace $L_{p}$, $1< p<\infty$, with a fixed k...