Approximation of Continuous Functions by de La Vallee-Poussin Operators

• Date: 2005
• Main Authors: Rukasov, V. I., Silin, E. S., Рукасов, В. И., Силин, Е. С.
• Format: Article
• Language: Russian; English
• Published: Institute of Mathematics, NAS of Ukraine 2005
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/3590
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

For $\sigma \rightarrow \infty$, we study the asymptotic behavior of upper bounds of deviations of functions blonding to the classes $\widehat{C}_{\infty}^{\overline{\Psi}}$ and $\widehat{C}^{\overline{\Psi}} H_{\omega}$ from the so-called Vallee Poussin operators. We find asymptotic equalities th...